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Call number: | 9783662530450:ONLINE Show nearby items on shelf |
Title: | Fundamental Astronomy |
Author(s): | |
Date: | 2017 |
Edition: | 6th ed. 2017 |
Size: | 1 online resource (XIV, 550 p. 502 illus., 36 illus. in color p.) |
Contents: | 1. Introduction -- 2. Spherical Astronomy -- 3. Observations and Instruments -- 4. Photometric Concepts and Magnitudes -- 5. Radiation Mechanisms -- 6. Celestial Mechanics -- 7. The Solar System Part I -- 8. The Solar System Part II |
-- 9. Stellar Spectra -- 10. Binary Stars and Stellar Masses -- 11. | |
Associations -- 18. The MilkyWay -- 19. Galaxies -- 20. Cosmology -- 21. Exoplanets -- 22. Astrobiology.- | |
ISBN: | 9783662530450 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Geophysics , Astronomy , Astrophysics , Cosmology , Physics , Astronomy, Astrophysics and Cosmology , Geophysics/Geodesy , Popular Science in Astronomy |
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Call number: | 9783319435220:ONLINE Show nearby items on shelf |
Title: | The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy |
Author(s): |
Ivan I Shevchenko |
Date: | 2017 |
Size: | 1 online resource (XI, 194 p. 39 illus., 8 illus. in color p.) |
Contents: | Preface -- Historical Background -- Secular Theories in Celestial Mechanics -- LKE: Classical Results -- LKE: The Theory Advances -- Understanding Irregular Satellites -- Sungrazing Comets -- Asteroids and Kuiper Belt Objects in |
Inclined Orbits -- The Role in Sculpting Exoplanetary Systems -- Applications in Stellar Dynamics -- References | |
ISBN: | 9783319435220 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Planetology , Dynamics , Ergodic theory , Astrophysics , Physics , Astrophysics and Astroparticles , Dynamical Systems and Ergodic Theory , Applications of Nonlinear Dynamics and Chaos Theory , Planetology , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astron |
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Call number: | 9780805301021:ONLINE Show nearby items on shelf |
Title: | Foundations of mechanics: a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem |
Author(s): |
Ralph Abraham |
Date: | 1978 |
Edition: | 2d ed., rev., enl., and reset. |
Publisher: | Reading, Mass.: Benjamin/Cummings |
Size: | 1 online open access resource (789 p) |
Note: | Caltech open access |
ISBN: | 9780805301021 |
Keywords: | Mechanics, Analytic. , Geometry, Differential. , Celestial mechanics. |
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Location: | ONLINE |
Call number: | 3527408568:ONLINE Show nearby items on shelf |
Title: | Relativistic Celestial Mechanics of the Solar System |
Author(s): |
Kopeikin |
Date: | 2011 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (893 p.) |
ISBN: | 9783527408566 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Astronomy |
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Location: | ONLINE |
Call number: | 0471133175:ONLINE Show nearby items on shelf |
Title: | Adventures in Celestial Mechanics |
Author(s): |
Szebehely |
Date: | 1998 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (321 p.) |
ISBN: | 9780471133179 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mechanical Engineering |
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Call number: | SPRINGER-2016-9783662503706:ONLINE Show nearby items on shelf |
Title: | Celestial Mechanics and Astrodynamics: Theory and Practice |
Author(s): |
Pini Gurfil |
Date: | 2016 |
Size: | 1 online resource (45 p.) |
Note: | 10.1007/978-3-662-50370-6 |
Contents: | Introduction -- Vectors -- Reference Systems and Relativity -- Central Force Motion -- The Two-Body Problem -- Orbit Determination -- The n-Body Problem -- The Restricted Three-Body Problem -- Numerical Procedures -- Canonical |
Equations -- General Perturbations Theory -- Motion Around Oblate Planets -- Semianalytical Orbit Theory -- Satellite Orbit Control -- Optimal Impulsive Orbit Transfers -- Orbit Data Processing -- Space Debris -- People, Progress, | |
Prospects | |
ISBN: | 9783662503706 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Astrophysics and Space Science Library: 436 |
Keywords: | Physics , Mechanics , Astrophysics , Vibration , Dynamical systems , Dynamics , Aerospace engineering , Astronautics , Physics , Theoretical, Mathematical and Computational Physics , Astrophysics and Astroparticles , Aerospace Technology and Astronautics , Vibration, Dynamical Systems, Control , Mechanics |
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Call number: | SPRINGER-2014-9781461492368:ONLINE Show nearby items on shelf |
Title: | Principles of Astrophysics [electronic resource] : Using Gravity and Stellar Physics to Explore the Cosmos |
Author(s): |
Charles Keeton |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book gives a survey of astrophysics at the advanced undergraduate level. It originates from a two-semester course sequence at Rutgers University that is meant to appeal not only to astrophysics students but also morebroadly to physics and engine ering students. The organization is driven more by physics than by astronomy in other words, topics are first developed in physics and then applied to astronomical systems that can be investigated,rather than the other way around. The first half of the bo ok focuses on gravity. Gravity is the dominant force in many astronomical systems, so a tremendous amount can be learned by studying gravity, motion and mass. The theme inthis part of the book, as well as throughout astrophysics, is using motion to invest igate mass. The goal of Chapters 2-11 is to develop a progressively richer understanding of gravity as it applies to objects ranging from planets andmoons to galaxies and the universe as a whole. The second half uses other aspects of physics to address on e of the big questions. While Why are we here? lies beyond the realm of physics, a closely related question is withinour reach: How did we get here? The goal of Chapters 12-21 is to understand the physics behind the remarkable story of how the Universe, E arth and life were formed. This book assumes familiarity with vector calculus andintroductory physics (mechanics, electromagnetism, gas physics and atomic physics) however, all of the physics topics are reviewed as they come up (and vital aspects of vecto r calculus are reviewed in the Appendix). This volume isaimed at undergraduate students majoring in astrophysics, physics or engineering |
Contents: | Introduction: Tools of the Trade |
Part I: Using Gravity and Motion to Measure Mass | |
Celestial Mechanics | |
Gravitational One | |
Body Problem | |
Gravitational Two | |
Body Problem | |
Tidal Forces | |
Gravitational Three | |
Body Problem | |
Extended Mass Distributions: Spiral Galaxies | |
N | |
Body Problem: Elliptical Galaxies | |
Bending of Light by Gravity | |
Relativity | |
Cosmology: Expanding Universe | |
Part II: Using Stellar Physics to Explore the Cosmos | |
Planetary Atmospheres | |
Planetary Temperatures | |
Stellar Atmospheres | |
Nuclear Fusion | |
Stellar Structure and Evolution | |
Stellar Remnants | |
C | |
ISBN: | 9781461492368 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Astronomy , Mechanics, applied |
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Call number: | SPRINGER-2014-9781461488484:ONLINE Show nearby items on shelf |
Title: | Solar System Astrophysics [electronic resource] : Background Science and the Inner Solar System |
Author(s): |
Eugene F Milone William J.F Wilson |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | The second edition of Solar System Astrophysics: Background Science and the Inner Solar System provides new insights into the burgeoning field of planetary astronomy. As in the first edition, this volume begins with a rigoroustreatment of coordinate frames, basic positional astronomy, and the celestial mechanics of two and restricted three body system problems. Perturbations are treated in the same way, with clear step-by-step derivations. Then theEarths gravitational potential field and the Earth-Mo on system are discussed, and the exposition turns to radiation properties with a chapter on the Sun. The exposition of the physical properties of the Moon and the terrestrialplanets are greatly expanded, with much new information highlighted on the Moon, Mercury, Venus, and Mars. All of the material is presented within a framework of historical importance. This book and its sister volume, Solar SystemAstrophysics: Planetary Atmospheres and the Outer Solar System, are pedagogically well written, providing clearly illustrated explanations, for example, of such topics as the numerical integration of the Adams-Williamson equation, theequations of state in planetary interiors and atmospheres, Maxwells equations as applied to planetary ionospheres and magnetosp heres, and the physics and chemistry of the Habitable Zone in planetary systems. Together, the volumesform a comprehensive text for any university course that aims to deal with all aspects of solar and extra-solar planetary systems. They will appeal separ ately to the intellectually curious who would like to know just how far ourknowledge of the solar system has progressed in recent years |
Contents: | Perceptions of the Solar System in History |
Basic Tools and Techniques | |
Celestial Mechanics | |
The Core of the Solar System: The Sun | |
General Properties of Terrestrial Planets | |
Planetary Heat Flow and Temperatures | |
Rocks and Minerals | |
The Moon's Surface, Structure, and Evolution | |
Surface Science of our Terrestrial Planets | |
ISBN: | 9781461488484 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy |
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Call number: | SPRINGER-2013-9783642393686:ONLINE Show nearby items on shelf |
Title: | Geometry of Continued Fractions [electronic resource] |
Author(s): |
Oleg Karpenkov |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest inmultidimensional generalizati ons of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometricvision of continued fractions. It covers several appli cations to questions related tosuch areas asDiophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress inthe geometric theory of multidimensional continued fractions accompanied by current ly open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful forundergraduate or graduate courses |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions | |
Chapter 2. On integer geometry | |
Chapter 3. Geometry of regular continued fractions | |
Chapter 4. Complete invariant of integer angles | |
Chapter 5. Integer trigonometry for integer angles | |
Chapter 6. Integer angles of integer triangles | |
Chapter 7. Continued fractions and SL(2 Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum | |
Chapter 8. Lagrange theorem | |
Chapter 9. Gauss | |
Kuzmin statistics | |
Chapter 10. Geometric approximation aspects | |
Chapter 11 | |
ISBN: | 9783642393686 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v26 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Discrete groups , Number theory |
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Call number: | SPRINGER-2012-9781461424079:ONLINE Show nearby items on shelf |
Title: | Henri Poincar [electronic resource] : Impatient Genius |
Author(s): |
Ferdinand Verhulst |
Date: | 2012 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book describes the life and work of Henri Poincar, detailing most of his unique achievements in mathematics and physics. It is divided into two partsthe first on Poincars life, and the second on his contributionsto the mathematical sciences. Apa rt from biographical details, attention is given to Poincars results on automorphic functions differential equations and dynamical systems celestial mechanics mathematical physics, in particularthe theory of the electron and relativity and topology (analy sis situs). A chapter on philosophy explains Poincars conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincar reachedhis fundamentally new results in many different fields, how he thought about problems, and h ow one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincars thinking and work. Indynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equat ion flow with mappings, and his fixed-point theory. There is no comparable book on Poincar presenting such arelatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:Thetitle of this biography is particularly well chosen : Henri Poincar was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, comple ted by particularly well chosen illustrations. Jean Mawhin,Universit Catholique de Louvain, Belgium Ferdinand Verhulst has written a true scientific biography, introducing Poincar the man, his cultural milieu, and his mathematics. This book shows why, a c entury after his death,Poincar's ideas still shape a substantial part of the mathematical sciences. Philip J Holmes, Princeton University, USA |
Note: | Springer eBooks |
Contents: | The early years |
Academic education, 1873 | |
1879 | |
Impressive results in Vesoul and Caen | |
Career in Paris | |
The prize competition of Oscar II | |
Philosophy and essays | |
At the end, what kind of a man? | |
Automorphic functions | |
Differential equations and dynamical systems | |
Analysis Situs | |
Mathematical Physics | |
Poincar | |
Historical data and biographical details | |
References | |
Index | |
ISBN: | 9781461424079 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Engineering |
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Call number: | SPRINGER-2011-9789400704985:ONLINE Show nearby items on shelf |
Title: | Jacobi Dynamics [electronic resource] : A Unified Theory with Applications to Geophysics, Celestial Mechanics, Astrophysics and Cosmology |
Author(s): |
V.I Ferronsky S.A Denisik S.V Ferronsky |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9789400704985 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library, 0067-0057 : v369 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Physical geography , Remote sensing , Astronomy |
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Call number: | SPRINGER-2011-9783642110542:ONLINE Show nearby items on shelf |
Title: | Modern Questions of Celestial Mechanics [electronic resource] |
Author(s): |
Giovanni Colombo |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | C. Agostinelli: Sul problema delle aurore boreali e il moto di un corpuscolo elettrizzato in presenza di un dipolo magnetico.- G. Colombo: Introduction to the theory of earths motion about its center of mass.- E.M. Gaposchkin:The motion of the pole a nd the earths elasticity as studied from the gravity field of the earth by means of artificial earth satellites.- I.I. Shapiro: Radar astronomy, general relativity, and celestial mechanics.- V. Szebehely:Applications of the restricted problem of three bod ies in space research.- G.A. Wilkins: The analysis of the observation of the satellites of Mars |
Note: | Springer eBooks |
Contents: | C. Agostinelli: Sul problema delle aurore boreali e il moto di un corpuscolo elettrizzato in presenza di un dipolo magnetico |
G. Colombo: Introduction to the theory of earths motion about its center of mass | |
E.M. Gaposchkin: The motion of the pole and the earths elasticity as studied from the gravity field of the earth by means of artificial earth satellites | |
I.I. Shapiro: Radar astronomy, general relativity, and celestial mechanics | |
V. Szebehely: Applications of the restricted problem of three bodies in space research | |
G.A. Wilkins: The analysis of the observation of the satel | |
ISBN: | 9783642110542 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v43 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Astronomy |
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Call number: | SPRINGER-2011-9780817646486:ONLINE Show nearby items on shelf |
Title: | Classical Mechanics [electronic resource] : Theory and Mathematical Modeling |
Author(s): |
Emmanuele DiBenedetto |
Date: | 2011 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Classical mechanics is a chief example of the scientific method organizing a complex collection of information into theoretically rigorous, unifying principles in this sense, mechanics represents one of the highest forms ofmathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics,and HamiltonJacobi theory, but at the same time f eatures unique examplessuch as the spinning top including friction and gyroscopic compassseldom appearing in this context. In addition, variational principles like Lagrangianand Hamiltonian dynamics are treated in great detail. Using a pedagogical approac h, the author covers many topics that are gradually developed and motivated by classical examples. Through `Problems and Complements' sections at the endof each chapter, the work presents various questions in an extended presentation that is extremely use ful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks arekey features throughout the text. Classical Mechanics: Theory and Mathematical Modeling may serve as a textbook for advance d graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellentreference or self-study guide for applied mathematicians and mathematical physicists. Prerequisites include a working knowledge of linear algebra, m ultivariate calculus, the basic theory of ordinary differential equations, andelementary physics |
Note: | Springer eBooks |
Contents: | Preface |
Geometry of Motion | |
Constraints and Lagrangian Coordinates | |
Dynamics of a Point Mass | |
Geometry of Masses | |
Systems Dynamics | |
The Lagrange Equations | |
Precessions | |
Variational Principles | |
Bibliography | |
Index | |
ISBN: | 9780817646486 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Cornerstones |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Geometry , Mathematical physics , Mechanics , Mechanics, applied |
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Call number: | SPRINGER-2010-9783642044588:ONLINE Show nearby items on shelf |
Title: | Dynamics of Small Solar System Bodies and Exoplanets [electronic resource] |
Author(s): |
Jean J Souchay Rudolf Dvorak |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers an up-to-date overview of current research on Dynamics of Small Solar System Bodies and Exoplanets. In course-tested extensive chapters the authors cover topics of theoretical celestial mechanics, physics anddynamics of asteroids, co mets, stability of exoplanets and numerical integration codes applied in dynamical astronomy |
Note: | Springer eBooks |
Contents: | Resonances: Models and Captures |
The Lyapounov Characteristic Exponents and Their computation | |
Asteroid Families | |
The Dynamics of the Troyan Asteroids | |
The GAIA Mission: Expected Results for Asteroid Studies | |
The Physics of Asteroids and Their Junction With Dynamics | |
Comet Dynamics | |
Dyanmical Features of the Oort Cloud Comets | |
An Introduction to Common Numerical Integration Codes Used in Dynamical Astronomy | |
Dynamic Stability of Extra | |
Solar Planets | |
ISBN: | 9783642044588 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v790 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems , Mathematical physics , Astrophysics |
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Call number: | SPRINGER-2010-9783642017773:ONLINE Show nearby items on shelf |
Title: | Symplectic Geometric Algorithms for Hamiltonian Systems [electronic resource] |
Author(s): |
Kang Feng Mengzhao Qin |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Symplectic Geometric Algorithms for Hamiltonian Systems will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes anddevelops the generating func tion and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory,astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it wouldimply wide-ranging applications |
Note: | Springer eBooks |
Contents: | Preliminaries of Differential Manifolds |
Symplectic Algebra and Geometry Preliminaries | |
Hamiltonian Mechanics and Symplectic Geometry | |
Symplectic Difference Schemes for Hamiltonian Systems | |
The Generating Function Method | |
The Calculus of Generating Function and Formal Energy | |
Symplectic Runge | |
Kutta Methods | |
Composition Scheme | |
Formal Power Series and B | |
Series | |
Volume | |
Preserving Methods for Source | |
Free Systems | |
Free Systems | |
Contact Algorithms for Contact Dynamic Systems | |
Poisson Bracket and Lie | |
Poisson Schemes | |
KAM Theorem of Symplectic Algorithms | |
Lee | |
Variational I | |
ISBN: | 9783642017773 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Geometry , Algebraic topology , Quantum theory , Hydraulic engineering |
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Call number: | SPRINGER-2010-9781441913142:ONLINE Show nearby items on shelf |
Title: | Between Theory and Observations [electronic resource] : Tobias Mayer's Explorations of Lunar Motion, 1751-1755 |
Author(s): |
Steven Wepster |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In the 18th century purely scientific interests as well as the practical necessities of navigation motivated the development of new theories and techniques to accurately describe celestial and lunar motion. Tobias Mayer, a Germanmathematician and ast ronomer, was among the most notable scientists of the time in the area of lunar theory. Between Theory and Observations presents a detailed and rigorous account of Tobias Mayers work his famous contributionis his extensive set of lunar tables, which were the most accurate of their time. This book gives a complete and accurate account, not to be found elsewhere in the literature, of Tobias Mayer's important contributions to the study oflunar motion. The book highlights and examines three of Mayer's major a chievements: - The computational scheme embodied in Mayer's lunar tables is examined and traced back to the scheme of Newton's 1702 lunar theory with its decidedlynon-dynamical characteristics. - Mayer's dynamical lunar theory is compared to Euler's work in celestial mechanics of the same period. Evidence is presented refuting the commonly held opinion that Mayer's lunar theory was simply amodification of Euler's theory. - Mayer's technique of adjusting the coefficients of his lunar tables to fit an exten sive collection of observational data is examined in detail. The scale of Mayer's effort was unprecedented andpreceded the invention of the least squares method by half a century. This volume is intended for historians of mathematics and/or astronomy as w ell as anyone interested in the historical development of the theory of lunar motion |
Note: | Springer eBooks |
Contents: | List of Figures. List of Displays |
1. Introduction | |
2. The quest for lunar theory | |
3. The poineer's work | |
4. A manual to the tables | |
5. Theoria Lunae | |
6. The Horrocks legacy | |
7. Multisteps in the Theoria Lunae | |
8. Hausbackene Combinationen | |
9. Some aspects of model fitting | |
10. Concluding observations | |
Appendix A. Lunar equations: versions and aliases | |
Appendix B. Spreadsheet contents | |
Appendix C. Manuscript sources | |
References | |
Index | |
ISBN: | 9781441913142 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Sources and Studies in the History of Mathematics and Physical Sciences |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematics_$xHistory , Astronomy |
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Call number: | SPRINGER-2010-9781441903488:ONLINE Show nearby items on shelf |
Title: | Space Manifold Dynamics [electronic resource] : Novel Spaceways for Science and Exploration |
Author(s): |
Ettore Perozzi Sylvio Ferraz-Mello |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents an overview of the outcomes resulting from applying the dynamical systems approach to space mission design, a topic referred to as Space Manifold Dynamics (SMD). It is a natural follow-on to theinternational workshop Novel Spaceway s for Scientific and Exploration Missions, which was held in October 2007 at the Telespazio Fucino Space Centre (Italy) under the auspices of the Space OPS Academy. The benefits and drawbacks ofusing the Lagrangian points and the associated trajectories f or present and future space missions are discussed. The related methods and algorithms are also described in detail. Each topic is presented in articles that were written asfar as possible to be self consistent the use of introductory sections and of exte nded explanations is included in order to address the different communities potentially interested in SMD: space science, the aerospace industry, mannedand unmanned exploration, celestial mechanics, and flight dynamics |
Note: | Springer eBooks |
Contents: | Invariant Manifolds, Lagrangian Trajectories and Space Mission Design |
Chaos and Diffusion in Dynamical Systems Through Stable | |
Unstable Manifolds | |
Regular and Chaotic Dynamics of Periodic and Quasi | |
Periodic Motions | |
Survey of Recent Results on Weak Stability Boundaries and Applications | |
On the Accessibility of the Moon | |
Optimal Low | |
Thrust Trajectories to the Interior Earth | |
Moon Lagrange Point | |
On the Use of the Earth | |
Moon Lagrangian Point L 1 for Supporting the Manned Lunar Exploration | |
Manifolds and Radiation Protection | |
Three | |
Body Invariant Manifold Transition with Electric P | |
ISBN: | 9781441903488 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astrophysics , Astronautics |
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Call number: | SPRINGER-2010-9780387853550:ONLINE Show nearby items on shelf |
Title: | Viewing the Constellations with Binoculars [electronic resource] : 250+ Wonderful Sky Objects to See and Explore |
Author(s): |
Bojan Kambic |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The night sky is filled with stellar wonders, sparkling jewels that hide within them fantastic faraway suns. The ancients saw pictures formed by the stars and thus were born the constellations, which are still used today toidentify and locate stars. After providing enough background information on astronomy to arm you for your trip, Bojan Kambic leads you through the major constellations seen in the northern skies, pointing out the most important sitesand guiding you to finding them yourself using ma inly just binoculars. You will soon find yourself becoming familiar with the best equipment to use, the best times to observe, and the best conditions in which to observe. You will alsosoon find yourself at home among the stars, seeking out new challenges and enjoying repeated visits with old friends. The pleasure and satisfaction you will derive from some inexpensive equipment and a good viewing site will surpriseyou and make you want to do more. For all this, let Kambic be your guide, and you wont be di sappointed! |
Note: | Springer eBooks |
Contents: | Part I: Background |
About Binoculars (And Everything Connected to Them) | |
Celestial Mechanics | |
Those Wonderful Distant Suns | |
Non | |
Stellar Objects | |
Using Models to Understand Our Place in Space and Time | |
Preparing for Observation Sessions | |
Part II: Constellations | |
Appendix: For Beginners Only | |
Index | |
ISBN: | 9780387853550 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Patrick Moore's Practical Astronomy Series, 1431-9756 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2009-9783642017421:ONLINE Show nearby items on shelf |
Title: | Collected Works [electronic resource] : Representations of Functions, Celestial Mechanics and KAM Theory, 1957-1965 |
Author(s): |
Vladimir I Arnold Alexander B Givental Boris A Khesin Jerrold E Marsden Alexander N Varchenko Victor A Vassiliev Oleg Ya Viro Vladimir M Zakalyukin |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9783642017421 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Vladimir I. Arnold - Collected Works : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Differential equations, partial |
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Call number: | SPRINGER-2009-9783642009372:ONLINE Show nearby items on shelf |
Title: | Chaos: Concepts, Control and Constructive Use [electronic resource] |
Author(s): |
Yurii Bolotin Anatoli Tur Vladimir Yanovsky |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climatechange, to the functi oning of brownian motors in cells. A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for thesystem under investigation, stochastic re sonance being a prime example. The present work is putting emphasis on the latter aspects, and after recalling the paradigm changes introduced by the concept of chaos, leads the readerskillfully through the basics of chaos control by detailing relevant al gorithms for both Hamiltonian and dissipative systems amongst others. The main part of the book is then devoted to the issue of synchronization in chaotic systems,an introduction to stochastic resonance and a survey of ratchet models. This short and conci se primer is particularly suitable for postgraduate students and non-specialist scientists from related areas, wishing to enter the fieldquickly and efficiently |
Note: | Springer eBooks |
Contents: | Introduction |
Paradigm for Chaos | |
Main Features of Chaotic Systems | |
Reconstruction of Dynamical Systems | |
Controlling Chaos | |
Synchronization of Chaotic Systems | |
Stochastic Resonance | |
The Appearance of Regular Fluxes Without Gradients | |
References | |
Index | |
ISBN: | 9783642009372 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Systems theory , Statistical physics , Engineering , Vibration |
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Call number: | SPRINGER-2009-9783540758266:ONLINE Show nearby items on shelf |
Title: | Chaos in Astronomy [electronic resource] : Conference 2007 |
Author(s): |
G Contopoulos P. A Patsis |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The conference Chaos in Astronomy was held in Athens on 17-20 Sep 2007. International leaders in the field addressed the topics Chaos in large N-body systems and in galactic dynamics Chaos in solar system dynamics Statisticalmechanics of systems with regular and chaotic orbits Chaos in the formation of large-scale structure in the Universe Fundamental concepts, methods and tools. The book contains carefully edited refereed contributions. It serves as areference to researchers and will give an overvie w to students and newcomers entering any field of dynamical astronomy |
Note: | Springer eBooks |
Contents: | Part I Galactic Dynamics |
Part II Celestial Mechanics | |
Part III Fundamental Concepts and Methods | |
Part IV Other Astronomical Systems | |
ISBN: | 9783540758266 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Proceedings, 1570-6591 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Astronomy , Engineering |
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Call number: | SPRINGER-2009-9780387095349:ONLINE Show nearby items on shelf |
Title: | The Evolving Universe and the Origin of Life [electronic resource] The Search for Our Cosmic Roots |
Author(s): |
Pekka Teerikorpi Mauri Valtonen Kirsi Lehto Harry Lehto Gene Byrd Arthur Chernin |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Sir Isaac Newton famously said, regarding his discoveries, If I have seen further it is by standing upon the shoulders of giants. The Evolving Universe and the Origin of Life describes, complete with fascinating biographicaldetails of the thinkers in volved, the ascent to the metaphorical shoulders accomplished by the greatest minds in history. For the first time, a single book can take the reader on a journey through the history of the universe asinterpreted by the expanding body of knowledge of huma nkind. From subatomic particles to the protein chains that form life, and expanding in scale to the entire universe, this book covers the science that explains how we came to be.The Evolving Universe and the Origin of Life contains a great breadth of know ledge, from astronomy to physics, from chemistry to biology. It includes over 350 figures that enhance the comprehension of concepts both basic and advanced,and is a non-technical, easy-to-read text at an introductory college level that is ideal for anyon e interested in science as well as its history |
Note: | Springer eBooks |
Contents: | Part I: The Widening World View |
When Science Was Born | |
Science in Athens | |
Planetary Spheres and the Size of the Universe | |
Medieval Cosmology | |
The Roots of the Copernican Revolution | |
The True Laws of Planetary Motion Revealed | |
Galileo Galilei and His Successors | |
How Far Away Are the Stars? | |
The Scale of the Solar System | |
Part II: Physical Laws of Nature | |
Newton | |
Celestial Mechanics | |
Nature of Light | |
Electricity and Magnetism | |
Time and Space | |
Curved Space and Gravity | |
Atoms and Nuclei | |
Strange Microworld | |
Elementary Particles | |
Part III: The Universe | |
St | |
ISBN: | 9780387095349 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy , Astrobiology |
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Call number: | SPRINGER-2008-9781402069642:ONLINE Show nearby items on shelf |
Title: | Hamiltonian Dynamical Systems and Applications [electronic resource] |
Author(s): |
Walter Craig |
Date: | 2008 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. Theseproblems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees offreedom. This volume is the collected and extende d notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the moderntheory of the subject were covered at this event, including low dimension al problems as well as the theory of Hamiltonian systems in infinite dimensional phase space these are described in depth in this volume. Applications are alsopresented to several important areas of research, including problems in classical mechanics, con tinuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field,including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope fo r realistic long time stability results, the development of KAM theory for partial differential equations in one andin higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics,and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion accordi ngly, this volume includes lectures on recent developments of KAM theoryin infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical appro |
Note: | Springer eBooks |
Contents: | Preface |
Hamiltonian Dynamical Systems and Applications | |
Some Aspects of Finite | |
Dimensional Hamiltonian Dynamics | |
Four Lectures on the N | |
body Problem | |
Average Method and Adiabatic Invariants | |
Transformation Theory of Hamiltonian PDE and the Problem of Water Waves | |
Three Theorems on Perturbed KdV | |
Groups and Topology in the Euler Hydrodynamics and KdV | |
Infinite Dimensional Dynamical Systems and the Navier | |
Stokes Equation | |
Hamiltonian Systems and Optimal Control | |
KAM Theory with Applications to Hamiltonian Partial Differential Equations | |
Four Lectures on KAM for the Non | |
Lin | |
ISBN: | 9781402069642 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | NATO Science for Peace and Security Series, 1874-6500 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial , Mathematical physics , Mechanics |
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Call number: | SPRINGER-2008-9780817645953:ONLINE Show nearby items on shelf |
Title: | Integrable Systems in Celestial Mechanics [electronic resource] |
Author(s): |
Diarmuid Mathna |
Date: | 2008 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, thelatter being the more comp lex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problemis now recognized as being intimately linked t o the Vinti (Earth-satellite) problem. Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is thedetailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich andvaried solution patterns that emerge in the Euler problem, which are illustrated in the appendix . A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem. Key features: * Highlights shared features in theunified treatment of the Kepler, Euler, and Vinti problems * Raises challenges in analysis and astronomy, placing this trio of problems in the modern context * Includes a full analysis of the planar Euler problem * Highlights thecomplex and surprising orbit patterns that arise from the Euler problem * Provides a detailed analysis and solution for the Earth-satellite probl em The analysis and results in this work will be of interest to graduate students inmathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physi cs and has direct application to celestial mechanics, astronomy,orbital mechanics, and aerospace engineering |
Note: | Springer eBooks |
Contents: | General Introduction |
The Kepler Problem (Two | |
Body Problem): the central Newtonian potential | |
Bernoulli solution | |
Features of the central Newtonian potential | |
The Non | |
Central Newtonian Potential | |
The Euler problem: two fixed centers of attraction | |
The Vinti problem: earth | |
satellite theory | |
Implications for perturbation theories | |
Relativistic context | |
Index | |
ISBN: | 9780817645953 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v51 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Mathematical physics , Statistical physics , Mechanics , Astronomy |
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Call number: | SPRINGER-2008-9780387731551:ONLINE Show nearby items on shelf |
Title: | Solar System Astrophysics [electronic resource] : Background Science and the Inner Solar System |
Author(s): |
Eugene F Milone Willam J.F Wilson |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Solar System Astrophysics: A Text for the Science of Planetary Systems covers the field of solar system astrophysics beginning with basic tools of spherical astronomy, coordinate frames, and celestial mechanics. Historicalintroductions precede the de velopment and discussion in most chapters. After a basic treatment of the two- and restricted three-body system motions in Background Science and the Inner Solar System, perturbations are discussed, followedby the Earth's gravitational potential field and its effect on satellite orbits. This is followed by analysis of the Earth-Moon system and the interior planets. In Planetary Atmospheres and the Outer Solar System, the atmosphereschapters include detailed discussions of circulation, applicable also to t he subsequent discussion of the gas giants. The giant planets are discussed together, and the thermal excesses of three of them are highlighted. This is followedby chapters on moons and rings, mainly in the context of dynamical stability, comets and meteo rs, meteorites and asteroids, and concludes with an extensive discussion of extrasolar planets. The contents of Solar System Astrophysics: AText for the Science of Planetary Systems have been field-tested by students for many years. Eugene F. Milone and W illiam J.F. Wilson have written a unique book that presents an up-to-date overview on all essential topics based onextensive experience in the classroom |
Note: | Springer eBooks |
Contents: | Preface. Acknowledgements |
Perceptions of the Solar System in History | |
Basic Tools and Techniques | |
Celestial Mechanics | |
The Core of the Solar System: The Sun | |
General Properties of the Terrestrial Planets | |
Planetary Heat Flow and Temperatures | |
Rocks and Minerals | |
The Moon's Surface, Structure, and Evolution | |
Surfaces of the Terrestrial Planets | |
ISBN: | 9780387731551 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy , Astrophysics |
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Call number: | SPRINGER-2007-9783540729846:ONLINE Show nearby items on shelf |
Title: | Topics in Gravitational Dynamics [electronic resource] : Solar, Extra-Solar and Galactic Systems |
Author(s): |
Daniel Benest Claude Froeschle Elena Lega |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. Emphasis is on questions of stability of planetary systems. In particular thediscovery and thus t he possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through theNekhoroshev theorem |
Note: | Springer eBooks |
Contents: | An Overview on the Nechoroshev Theorem |
Diffusion in Hamiltonian Quasi | |
Integrable Systems | |
Weakly Dissipative Systems in Celestial Mechanics | |
Connectance and Stability of Dynamical Systems | |
Chaotic Diffusion of Asteroids | |
An Overiew of the Rotations of Planets in the Solar System | |
On the Stability of Extra | |
Solar Planetary Systems | |
Origin Theories for the Eccentricities of Extrasolar Planets | |
Methods for the Study of the Dynamics of the Oort Cloud Comets I: Modelling the Stellar Perturbations | |
Methods for the Study of the Dynamics of the Oort Cloud Comets II: Modelling the Gal | |
ISBN: | 9783540729846 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v729 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems , Mathematical physics , Astronomy , Astrophysics |
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Call number: | SPRINGER-2007-9783540341444:ONLINE Show nearby items on shelf |
Title: | Fundamental Astronomy [electronic resource] |
Author(s): |
Hannu Karttunen Pekka Krger Heikki Oja Markku Poutanen Karl Johan Donner |
Date: | 2007 |
Edition: | Fifth Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Fundamental Astronomy gives a well-balanced and comprehensive introduction to the topics of classical and modern astronomy. While emphasizing both the astronomical concepts and the underlying physical principles, the text providesa sound basis for mo re profound studies in the astronomical sciences. The fifth edition of this successful undergraduate textbook has been extensively modernized and extended in the parts dealing with the Milky Way, extragalacticastronomy and cosmology as well as with extras olar planets and the solar system (as a consequence of recent results from satellite missions and the new definition by the International Astronomical Union of planets, dwarf planets andsmall solar-system bodies). Furthermore a new chapter on astrobiology has been added. Long considered a standard text for physical science majors, Fundamental Astronomy is also an excellent reference and entre for dedicated amateurastronomers |
Note: | Springer eBooks |
Contents: | Spherical Astronomy |
Observations and Instruments | |
Photometric Concepts and Magnitudes | |
Radiation Mechanisms | |
Celestial Mechanics | |
The Solar System | |
Stellar Spectra | |
Binary Stars and Stellar Masses | |
Stellar Structure | |
Stellar Evolution | |
The Sun | |
Variable Stars | |
Compact Stars | |
The Interstellar Medium | |
Star Clusters and Associations | |
The Milky Way | |
Galaxies | |
Cosmology | |
Astrobiology | |
ISBN: | 9783540341444 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Physical geography , Astronomy , Astrophysics |
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Call number: | SPRINGER-2007-9780387489186:ONLINE Show nearby items on shelf |
Title: | Averaging Methods in Nonlinear Dynamical Systems [electronic resource] |
Author(s): |
Jan A Sanders Ferdinand Verhulst James Murdock |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methodsin Nonlinear Dynamica l Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level)Normal Form Theory, Nilpotent (classical) No rmal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Alsonew are surveys on invariant manifolds in Appendix C and averagi ng for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added. Review of First Edition One ofthe most striking features of the book is the nice collection of examples, which range fr om the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detailand are illustrated with profuse, illuminating diagrams. - Mathematical Reviews |
Note: | Springer eBooks |
Contents: | Basic Material and Asymptotics |
Averaging: the Periodic Case | |
Methodology of Averaging | |
Averaging: General Case | |
Attraction | |
Periodic Averaging and Hyperbolicity | |
Averaging Over Angles | |
Passage Through Resonance | |
From Averaging to Normal Forms | |
Hamiltonian Normal Form Theory | |
Classical (First Level) Normal Form Theory | |
Nilpotent (Classical) Normal Form | |
Higher Level Normal Form Theory | |
A. The The History of the Theory of Averaging | |
B. A 4 | |
dimensional Example of Hopf Bifurcation | |
C. Invariant Manifolds by Averaging | |
D. Celestial Mechanics | |
E. On Averaging Metho | |
ISBN: | 9780387489186 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v59 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differentiable dynamical systems , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2007-9780387389059:ONLINE Show nearby items on shelf |
Title: | Canonical Perturbation Theories [electronic resource] : Degenerate Systems and Resonance |
Author(s): |
Sylvio Ferraz-Mello |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degeneratesystems and resonance. Thi s book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Horis Theory, and the classical theories of Poincar, von Zeipel-Brouwer, and Delaunay. Also covered areKolmogorovs frequency relocation method to avoid small di visors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes theseideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics |
Note: | Springer eBooks |
Contents: | The Hamilton Jacobi Theory |
Angle Action Variables | |
Jacobian Averaging Theories | |
Resonance Delaunay and Bohlin Theories | |
Lie Mappings | |
Lie Series Averaging Theories | |
NonSingular Canonical Variables | |
Lie Series Theory for Resonant Systems | |
Single Resonance Near A Singularity | |
Nonlinear Oscillators | |
Appendix | |
ISBN: | 9780387389059 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library, 0067-0057 : v345 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Mathematical physics , Astronomy , Astrophysics |
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Call number: | SPRINGER-2006-9783540489269:ONLINE Show nearby items on shelf |
Title: | Mathematical Aspects of Classical and Celestial Mechanics [electronic resource] : Third Edition |
Author(s): |
Vladimir I Arnold Valery V Kozlov Anatoly I Neishtadt |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing theworking apparatus of c lassical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensorinvariants of equations of dynamics. Moreover , various other sections have been revised, added or expanded. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and itscontemporary aspects. The book addresses all mathematicians, physicists and engineers. From the reviews of the previous editions: ... The book accomplishes the goals it has set for itself. While it is not an introduction to thefield, it is an excellent overview. ... American Mathematical Monthly, Nov. 1989 |
Note: | Springer eBooks |
Contents: | 1 Basic Principles of Classical Mechanics |
2 The n | |
Body Problem | |
3 Symmetry Groups and Order Reduction | |
4 Variational Principles and Methods | |
5 Integrable Systems and Integration Methods | |
6 Perturbation Theory for Integrable Systems | |
7 Non | |
Integrable Systems | |
8 Theory of Small Oscillations | |
9 Tensor Invariants of Equations of Dynamics | |
Recommended Reading | |
Bibliography | |
ISBN: | 9783540489269 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Encyclopaedia of Mathematical Sciences, 0938-0396 : v3 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2006-9783540334170:ONLINE Show nearby items on shelf |
Title: | Construction of Mappings for Hamiltonian Systems and Their Applications [electronic resource] |
Author(s): |
Sadrilla S Abdullaev |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the studyof the dynamics and c haos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systemsby the discrete ones. Applications of the m apping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magneticallyconfinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics,dynamical astronomy, and accelerator physics. It should also be useful for applied mathema ticians involved in analytical and numerical studies of dynamical systems |
Note: | Springer eBooks |
Contents: | Basics of Hamiltonian Mechanics |
Perturbation Theory for Nearly Integrable Systems | |
Mappings for Perturbed Systems | |
Method of Canonical Transformation for Constructing Mappings | |
Mappings Near Separatrix. Theory | |
Mappings Near Separatrix. Examples | |
The KAM Theory Chaos Nontwist and Nonsmooth Maps | |
Rescaling Invariance of Hamiltonian Systems Near Saddle Points | |
Chaotic Transport in Stochastic Layers | |
Magnetic Field Lines in Fusion Plasmas | |
Mapping of Field Lines in Ergodic Divertor Tokamaks | |
Mappings of Magnetic Field Lines in Poloidal Divertor Tokamaks | |
Miscellaneous | |
ISBN: | 9783540334170 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v691 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Plasma (Ionized gases) , Electrodynamics |
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Call number: | SPRINGER-2006-9783540324553:ONLINE Show nearby items on shelf |
Title: | Dynamics of Extended Celestial Bodies and Rings [electronic resource] |
Author(s): |
Jean Souchay |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Taking both a theoretical and observational perspective, this book is an introduction to recent developments in the field of celestial mechanics. It emphasizes the application to extended celestial bodies and devotes muchattention to rotational aspec ts. In particular, it explains the state of art for accurate modelling of the rotation of celestial bodies such as the Earth, the Moon, and Mercury, which involves principles related to hydrodynamics andgeodesy. Comparisons between the light curves of the asteroids and their rotational state are made and spatial techniques leading to the determination of the Earth's gravitational field are explained. Also, the book provides a generaloverview of the collisional processes in the solar system and of the dyna mics of the rings. It is addressed to graduate students and researchers in space sciences and celestial dynamics |
Note: | Springer eBooks |
Contents: | Spinning Bodies: A Tutorial |
Physics of the Earths Interior, Deformation and Rotation | |
Modelling and Characterizing the Earths Gravity Field: From Basic Principles to Current Purposes | |
Asteroids from Observations to Models | |
Modelling Collisions Between Asteroids: From Laboratory Experiments to Numerical Simulations | |
Geometric Conditions for Quasi | |
Collisions in piks Theory | |
The Synchronous Rotation of the Moon | |
The Spin | |
Orbit Rotation of Mercury | |
Dynamics of Planetary Rings | |
ISBN: | 9783540324553 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v682 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Physical geography , Mechanics , Astronomy , Astrophysics |
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Call number: | SPRINGER-2006-9781402053252:ONLINE Show nearby items on shelf |
Title: | Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications [electronic resource] : Selected papers from the Fourth Meeting on Celestial Mechanics, CELMEC IV San Martino al Cimino (Italy),1116 September 2005 / edited by A. Celletti, S. Ferraz-Mello |
Author(s): |
A Celletti S Ferraz-Mello |
Date: | 2006 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding reviewpapers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits, the stability theory of the N-body problem, the spin-orbit resonances and chaotic dynamics, thespace debris polluting the circumterrestri al space |
Note: | Springer eBooks |
ISBN: | 9781402053252 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics |
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Call number: | SPRINGER-2005-9783540345565:ONLINE Show nearby items on shelf |
Title: | Chaos and Stability in Planetary Systems [electronic resource] |
Author(s): |
Rudolf Dvorak Florian Freistetter Jrgen Kurths |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetarysystems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics |
Note: | Springer eBooks |
Contents: | Orbit Dynamics, Stability and Chaos in Planetary Systems |
Regular and Chaotic Motion in Hamiltonian Systems | |
Planet Formation | |
Extrasolar Planetary Systems | |
ISBN: | 9783540345565 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v683 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Physical geography , Astronomy , Engineering |
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Call number: | SPRINGER-2005-9783540268703:ONLINE Show nearby items on shelf |
Title: | Methods of Celestial Mechanics [electronic resource] : Volume I: Physical, Mathematical, and Numerical Principles |
Author(s): |
Gerhard Beutler |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestialmechanics and presents a ll the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed forplanetary systems (N-body-problem), for artifi cial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally knownmathematical principles without making use of the advanced tools of analytica l mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination),numerical error propagation, and stability considerations - are introduced and their properties discusse d in considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed inconsiderable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris |
Note: | Springer eBooks |
Contents: | Physical, Mathematical, and Numerical Principles |
Overview of the Work | |
Historical Background | |
The Equations of Motion | |
The Two | |
and the Three | |
Body Problems | |
Variational Equations | |
Theory of Perturbations | |
Numerical Solution of Ordinary Differential Equations: Principles and Concepts | |
Orbit Determination and Parameter Estimation | |
ISBN: | 9783540268703 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics |
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Call number: | SPRINGER-2005-9783540265122:ONLINE Show nearby items on shelf |
Title: | Methods of Celestial Mechanics [electronic resource] : Volume II: Application to Planetary System, Geodynamics and Satellite Geodesy |
Author(s): |
Gerhard Beutler |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. Volume II is devoted to the applications and to the presentation of the program systemCelestialMechanics. Three major areas of applications are covered: (1) Orbital and rotational motion of extended celestial bodies. The properties of the Earth-Moon system are developed from the simplest case (rigid bodies) to moregeneral cases, including the rotation of an elastic Eart h, the rotation of an Earth partly covered by oceans and surrounded by an atmosphere, and the rotation of an Earth composed of a liquid core and a rigid shell (Poincar model).(2) Artificial Earth Satellites. The oblateness perturbation acting on a satelli te and the exploitation of its properties in practice is discussed using simulation methods (CelestialMechanics) and (simplified) first order perturbationmethods. The perturbations due to the higher-order terms of the Earth's gravitational potential and r esonant perturbations are considered thereafter. Special attention is paid to satellites of the Global Navigation Satellite Systemsand to geostationary satellites. The characteristics of and models for the two most important non-gravitational forces, atmo spheric drag and radiation pressure, are presented as well as the most relevant forces acting on high- andlow-orbiting satellites. (3) Evolution of the Planetary System. The outer planetary system consisting of the planets Jupiter to Pluto is studied over long time intervals using simulation methods and spectral analysis(CelestialMechanics). The properties of the inner systems, in particular of the Earth's orbit, are made visible by integrating the entire system over long time intervals relevant for clima te change. The distribution of minor planetsand their orbital properties, regular orbits, and chaotic orbits are easily generated and analyzed using CelestialMechanics. The volume concludes with the d |
Note: | Springer eBooks |
Contents: | Applications |
Volume II in Overview | |
The Rotation of Earth and Moon | |
Artificial Earth Satellites | |
Evolution of the Planetary System | |
Program System | |
The Program System Celestial Mechanics | |
The Computer | |
Programs NUMINT and LINEAR | |
The Computer | |
Programs SATORB and LEOKIN | |
The Computer | |
Program ORBDET | |
The Computer | |
Program ERDROT | |
The Computer | |
Program PLASYS | |
Elements of Spectral Analysis and the Computer | |
Program FOURIER | |
ISBN: | 9783540265122 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics |
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Call number: | SPRINGER-2005-9781402044663:ONLINE Show nearby items on shelf |
Title: | A Comparison of the Dynamical Evolution of Planetary Systems [electronic resource] Proceedings of the Sixth Alexander von Humboldt Colloquium on Celestial Mechanics Bad Hofgastein (Austria), 2127 March 2004 |
Author(s): |
Rudolf Dvorak Sylvio Ferraz-Mello |
Date: | 2005 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize thepapers on the formati on of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realisticdynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around thelibrations points. This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems |
Note: | Springer eBooks |
Contents: | From the contents: From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs |
On the stability regions of the Trojan asteroids | |
Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids | |
The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the SunJupiter System | |
Chaotic Diffusion and Effective Stability of Jupiter Trojans | |
Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solutions | |
Stability of Co | |
orbital Motion in Exoplanetary Systems | |
The General Solution of the Planar L | |
ISBN: | 9781402044663 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics , Relativity (Physics) |
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Call number: | SPRINGER-2005-9781402034954:ONLINE Show nearby items on shelf |
Title: | Comets [electronic resource] : Nature, Dynamics, Origin, and their Cosmogonical Relevance |
Author(s): |
Julio Angel Fernndez |
Date: | 2005 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book covers the most recent ideas about the nature and dynamics of comets, including a thorough discussion on Oort cloud dynamics which has not received due attention in other books on the subject. It also discusses the mostrelevant aspects of th e physics and chemistry of comet nuclei, highlighting their importance as relics of the protoplanetary disk and, perhaps, as carriers of water and organics that permitted the development of life on Earth. The bookcontains several tables with useful data, and an ample bibliography covering the most recent work as well as some historical key contributions to the subject. It may be suitable as a textbook for graduate students with some basicknowledge of celestial mechanics and astrophysics, as well as a cons ult book for comet researchers, or researchers from other related fields willing to start working on comets, or get an updated view of the subject |
Note: | Springer eBooks |
Contents: | Early Ideas about Comets |
Statistics of Cometary Orbits and Magnitudes | |
The Understanding of Their Physical Nature | |
Dynamics of LP Comets Entering the Inner Planetary Region | |
The Oort Cloud | |
The Flux of New Comets: Quiescent and Excited Stages | |
The Jupiter Family | |
The Trans | |
Neptunian Belt | |
Physical End States of Comets | |
Leftovers of the Solar System Formation | |
Comets and Life | |
ISBN: | 9781402034954 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library : v328 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy , Astrophysics , Astrobiology |
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Call number: | SPRINGER-2004-9781441990587:ONLINE Show nearby items on shelf |
Title: | New Advances in Celestial Mechanics and Hamiltonian Systems HAMSYS-2001 |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (255 p.) |
Note: | 10.1007/978-1-4419-9058-7 |
Contents: | Exchange and capture in the planar restricted parabolic 3-body problem -- Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem -- Construction of Periodic Orbits in Hill’s Problem for C ? 34/3 -- Are there |
perverse choreographies? -- Blow up of total collision in the tetrahedral non-rotating four body problem -- Regularization of single binary collisions -- A Survey on Bifurcations of Invariant Tori -- Perturbing the Lagrange solution to | |
the general three body problem -- Horseshoe periodic orbits in the restricted three body problem -- Instability of Periodic Orbits in the Restricted Three Body Problem -- Syzygies and the Integral Manifolds of the Spatial N-Body | |
Problem -- Dynamics and bifurcation near the transition from stability to complex instability -- Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case -- Path Integral Quantization of the Sphere -- Non-holonomic | |
systems with symmetry allowing a conformally symplectic reduction -- 253 | |
ISBN: | 9781441990587 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential equations , Mechanics , Observations, Astronomical , Astronomy , Mathematics , Global Analysis and Analysis on Manifolds , Ordinary Differential Equations , Astronomy, Observations and Techniques , Mechanics |
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Call number: | SPRINGER-2003-9789401703031:ONLINE Show nearby items on shelf |
Title: | Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature |
Author(s): |
Tatiana G Vozmischeva |
Date: | 2003 |
Size: | 1 online resource (184 p.) |
Note: | 10.1007/978-94-017-0303-1 |
Contents: | 1 Basic Concepts and Theorems -- 2 Generalization of the Kepler Problem to Spaces of Constant Curvature -- 3 The Two-Center Problem on a Sphere -- 4 The Two-Center Problem in the Lobachevsky Space -- 5 Motion in Newtonian and |
Homogeneous Field in the Lobachevsky Space | |
ISBN: | 9789401703031 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Astrophysics and Space Science Library: 295 |
Keywords: | Physics , Geometry , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , Geometry |
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Call number: | SPRINGER-2003-9783662053331:ONLINE Show nearby items on shelf |
Title: | Fundamental Astronomy |
Author(s): | |
Date: | 2003 |
Edition: | Fourth Edition |
Size: | 1 online resource (468 p.) |
Note: | 10.1007/978-3-662-05333-1 |
Contents: | 1. Introduction -- 2. Spherical Astronomy -- 3. Observations and Instruments -- 4. Photometric Concepts and Magnitudes -- 5. Radiation Mechanisms -- 6. Celestial Mechanics -- 7. The Solar System -- 8. Stellar Spectra -- 9. Binary |
Stars and Stellar Masses -- 10. Stellar Structure -- 11. Stellar Evolution -- 12. The Sun -- 13. Variable Stars -- 14. Compact Stars -- 15. The Interstellar Medium -- 16. Star Clusters and Associations -- 17. The Milky Way -- 18. | |
Galaxies -- 19. Cosmology -- Appendices -- A. Mathematics -- A.1 Geometry -- A.2 Conic Sections -- A.3 Taylor Series -- A.4 Vector Calculus -- A.5 Matrices -- A.6 Multiple Integrals -- A.7 Numerical Solution of an Equation -- B. Theory | |
of Relativity -- B.1 Basic Concepts -- B.2 Lorentz Transformation. Minkowski Space -- B.3 General Relativity -- B.4 Tests of General Relativity -- C. Tables -- Answers to Exercises -- Further Reading -- Photograph Credits -- Name and | |
Subject Index -- Colour Supplement | |
ISBN: | 9783662053331 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Geophysics , Observations, Astronomical , Astronomy , Astrophysics , Space sciences , Physics , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Extraterrestrial Physics, Space Sciences , Geophysics/Geodesy |
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Call number: | SPRINGER-2003-9781461501992:ONLINE Show nearby items on shelf |
Title: | Developments in Mathematical and Experimental Physics Volume C: Hydrodynamics and Dynamical Systems |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (222 p.) |
Note: | 10.1007/978-1-4615-0199-2 |
Contents: | I Hydrodynamics -- Some Thoughts About Hydrodynamics -- Geometry of Irreversibility -- 3 Geometrization of Irreversibility -- Invariance Principle to Decide Between Micro and Macro Computations -- Hydrodynamics, Grad's Thirteen |
Moments Method and the Structure of Shock Waves -- The Oseen's Spiral Flow -- II Dynamical Systems -- Singularities and Chaos in Classical and Celestial Mechanics -- Regularization of Binary Collisions for Quasihomogeneous Potentials | |
-- Symmetric Periodic Orbits for the Collinear 3-body Problem Via the Continuation Method -- Averaging in Hamiltonian Systems with Slowly Varying Parameters -- Exact and Adiabatic Invariant for the Time-Dependent Harmonic Oscillators | |
-- III Other Topics -- Microquasars: Recent Developments -- We and the Quantum World -- Violate Superluminal Signals Causality? -- DNA Evolution as a Dynamical System: A Physicalist Perspective -- Leopoldo García-Colín Scherer: Brief | |
Biography -- Prof. Nicholas G. van Kampen: Brief Biography | |
ISBN: | 9781461501992 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physical chemistry , Condensed matter , Biophysics , Biological physics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Condensed Matter Physics , Physical Chemistry , Biophysics and Biological Physics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2002-9789401723046:ONLINE Show nearby items on shelf |
Title: | Modern Celestial Mechanics: From Theory to Applications Proceedings of the Third Meeting on Celestical Mechanics — CELMEC III, held in Rome, Italy, 18–22 June, 2001 |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (476 p.) |
Note: | 10.1007/978-94-017-2304-6 |
Contents: | GOCE: The Earth Gravity Field by Space Gradiometry -- Symmetries and Rank Deficiency in the Orbit Determination Around Another Planet -- The Rotation of Europa -- Resonant Fly-By Missions to Near Earth Asteroids -- Analysis of the |
Space Debris Impacts Risk on the International Space Station -- On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems -- Generalized Averaging Principle and the Secular Evolution of Planet Crossing Orbits | |
-- Probing the Nekhoroshev Stability of Asteroids -- Resonant Periodic Motion and the Stability of Extrasolar Planetary Systems -- Stability in the Full Two-Body Problem -- Geometry of Chaos in Models of Stellar Dynamics -- Order and | |
Chaos in Self-Consistent Galactic Models -- On the Relationship Between Fast Lyapunov Indicator and Periodic Orbits for Continuous Flows -- Effective Hamiltonian for the D’Alembert Planetary Model Near a Spin/Orbit Resonance -- A | |
Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-body Problem -- Estimate of the Transition Value of Librational Invariant Curves -- Ideal Resonance Problem: The Post-PostPendulum | |
Approximation -- The Web of Periodic Orbits at L4 -- Long-term Stability Analysis of Quasi Integrable Degenerate Systems Through the Spectral Formulation of the Nekhoroshev Theorem -- How the Method of Minimization of Action Avoids | |
Singularities -- Non-existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem -- Dynamical Evolution of the Adeona and Gefion Asteroid Families -- On the Expansion of the External Gravitational | |
Potential in Spheroidal Harmonics -- Periodic Orbits Approximation of Analyticity Domains of Invariant Curves -- Low ?V Orbit Insertion in Interplanetary Missions -- Long-Term Dynamics of the Tunguska Cosmic Body -- On the Triangular | |
Points of the Sun-Jupiter System -- Inter-Comparisons Between Numerical Integrations and Analytical Theory for the Solar System -- The Central Manifold for the Collinear Libration Points -- Periodic Orbits of Trans-Neptunian Objects at | |
the 2/3 and 3/4 Resonances -- Rotation of Natural Shaped Satellites and their Orbital Motion -- From Kolmogorov’s Normalization Algorithm to the Orbits in the Three-Body Planetary Problem -- Dynamical Behaviour of Asteroids in the | |
Region a < 2 AU -- Study of the Hamiltonian Form Near a Resonant Periodic Orbit -- Asteroid (9934) Caccioppoli: What’s in a Name? -- A Stability Study of S-type Orbits in the Binary Gliese 86 -- Non-Integrability Tests of Weakly | |
Integrable Systems -- Application of the Frequency Map Analysis to the Global Dynamics in the Solar System -- Realistic Estimations of the Effective Stability Region of the Trojan Asteroids -- Diffusion of Asteroids in Mean Motion | |
Resonances -- Orbital Behaviour of the Inner Faint Jovian Satellites: Modelling the Motion of JXIV Thebe -- Stable Chaos in Mean Motion Resonances -- Tethys’ Eccentricity from the Observations of Mimas: A Way to Understand the | |
Evolution of the Mimas-Tethys System -- Interaction of the Yarkovsky-Drifting Orbits with Weak Resonances: Numerical Evidence and Challenges -- Temporary Capture | |
ISBN: | 9789401723046 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Planetology , Applied mathematics , Engineering mathematics , Observations, Astronomical , Astronomy , Automotive engineering , Physics , Astronomy, Observations and Techniques , Applications of Mathematics , Planetology , Automotive Engineering |
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Call number: | SPRINGER-2002-9780387215822:ONLINE Show nearby items on shelf |
Title: | Scientific Computing with Ordinary Differential Equations |
Author(s): |
Peter Deuflhard |
Date: | 2002 |
Size: | 1 online resource (486 p.) |
Note: | 10.1007/978-0-387-21582-2 |
Contents: | 1 Time-Dependent Processes in Science and Engineering -- 1.1 Newton’s Celestial Mechanics -- 1.2 Classical Molecular Dynamics -- 1.3 Chemical Reaction Kinetics -- 1.4 Electrical Circuits -- Exercises -- 2 Existence and Uniqueness for |
Initial Value Problems -- 2.1 Global Existence and Uniqueness -- 2.2 Examples of Maximal Continuation -- 2.3 Structure of Nonunique Solutions -- 2.4 Weakly Singular Initial Value Problems -- 2.5 Singular Perturbation Problems -- 2.6 | |
Quasilinear Differential-Algebraic Problems -- Exercises -- 3 Condition of Initial Value Problems -- 3.1 Sensitivity Under Perturbations -- 3.2 Stability of ODEs -- 3.3 Stability of Recursive Mappings -- Exercises -- 4 One-Step Methods | |
for Nonstiff IVPs -- 4.1 Convergence Theory -- 4.2 Explicit Runge-Kutta Methods -- 4.3 Explicit Extrapolation Methods -- 5 Adaptive Control of One-Step Methods -- 5.1 Local Accuracy Control -- 5.2 Control-Theoretic Analysis -- 5.3 | |
Error Estimation -- 5.4 Embedded Runge-Kutta Methods -- 5.5 Local Versus Achieved Accuracy -- Exercises -- 6 One-Step Methods for Stiff ODE and DAE IVPs -- 6.1 Inheritance of Asymptotic Stability -- 6.2 Implicit Runge-Kutta Methods -- | |
6.3 Collocation Methods -- 6.4 Linearly Implicit One-Step Methods -- Exercises -- 7 MultiStep Methods for ODE and DAE IVPs -- 7.1 Multistep Methods on Equidistant Meshes -- 7.2 Inheritance of Asymptotic Stability -- 7.3 Direct | |
Construction of Efficient Multistep Methods -- 7.4 Adaptive Control of Order and Step Size -- Exercises -- 8 Boundary Value Problems for ODEs -- 8.1 Sensitivity for Two-Point EVPs -- 8.2 Initial Value Methods for Timelike EVPs -- 8.3 | |
Cyclic Systems of Linear Equations -- 8.4 Global Discretization Methods for Spacelike EVPs -- 8.5 More General Types of BVPs -- 8.6 Variational Problems -- Exercises -- References -- Software | |
ISBN: | 9780387215822 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Applied Mathematics: 42 |
Keywords: | Mathematics , Differential equations , Computer mathematics , Mathematics , Ordinary Differential Equations , Computational Mathematics and Numerical Analysis |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2001-9789401724142:ONLINE Show nearby items on shelf |
Title: | New Developments in the Dynamics of Planetary Systems Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badhofgastein (Austria), 19–25 March 2000 |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (380 p.) |
Note: | 10.1007/978-94-017-2414-2 |
Contents: | Statistics for Twenty-First Century Astrometry -- Synthetic Proper Elements for Outer Main Belt Asteroids -- Invariant Tori in the Secular Motions of the Three-Body Planetary Systems -- Improvements of Planetary Theories Over 6000 |
Years -- The Distribution of Energy Perturbations at Planetary Close Encounters -- Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for their Origins -- The Phase Space Structure Around L4 in the | |
Restricted Three-Body Problem -- Why Do Trojan ASCS (not) Escape? -- The 2/1 and 3/2 Resonant Asteroid Motion: A Symplectic Mapping Approach -- Twist and Non-Twist Bifurcations in a System of Coupled Oscillators -- The Mel’nikov | |
Subharmonic Function and the Non-Existence of Analytic Integrals in Non-Autonomous Systems -- On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: A Very Sensitive Tool -- Crossing of Various Cantori -- Fractal | |
Dimensions as Chaos Indicators -- Normal Form Invariants Around Spin-Orbit Periodic Orbits -- The Third Integral in a Self-Consistent Galactic Model -- Counterrotating Galaxies and Memory of Cosmological Initial Conditions -- The | |
Family P12 of the Three-Body Problem — The Simplest Family of Periodic Orbits, with Twelve Symmetries Per Period -- The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity using the Energy Integral -- | |
Application of the Nonrestricted Three-bodies Problem to the Stellar System ? UMA -- Periodic Solutions of the Planetary 5:2 Resonance Three-body Problem -- Limits of Stability for Planets in Double Star Systems Using the Fast Lyapunov | |
Indicators -- On a Fokker-Planck Approach to Asteroidal Transport -- Fractality in a Galactic Model -- Transformation Methods fo Trigonometric Parallaxes -- The Search for Exosolar systems -- The Two Fixed Centers Problem Revisited -- | |
The Phase Space Structure of the General Sitnikov Problem | |
ISBN: | 9789401724142 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Observations, Astronomical , Astronomy , Astrophysics , Physics , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Theoretical, Mathematical and Computational Physics , Mechanics |
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Call number: | SPRINGER-2001-9789401713276:ONLINE Show nearby items on shelf |
Title: | Dynamics of Natural and Artificial Celestial Bodies Proceedings of the US/European Celestial Mechanics Workshop, held in Poznań, Poland, 3–7 July 2000 |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (458 p.) |
Note: | 10.1007/978-94-017-1327-6 |
ISBN: | 9789401713276 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Geophysics , Planetology , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , Planetology , Geophysics/Geodesy |
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Call number: | SPRINGER-2000-9789401143257:ONLINE Show nearby items on shelf |
Title: | Advances in Solar Research at Eclipses from Ground and from Space Proceedings of the NATO Advanced Study Institute on Advances in Solar Research at Eclipses from Ground and from Space Bucharest, Romania 9–20 August, 1999 |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (310 p.) |
Note: | 10.1007/978-94-011-4325-7 |
Contents: | Eclipses from the standpoint of celestial mechanics -- The Williams College expedition to Râmnicu Vâlcea -- Heliospheric extent of the coronal phenomena -- The solar corona: white light polarization and modelling of the large scale |
electron density distribution -- Observing the solar magnetic field -- Solar activity -- New views of active regions, flares and CME’s from space -- Modeling the evolution of solar magnetic fields -- Non-LTE radiation processes: | |
Application to the solar Corona -- Models of the solar atmosphere -- Inversion of line profiles and solar fine structures -- Sounding the solar interior -- What we know about the solar interior -- Theory of solar luminosity variations | |
ISBN: | 9789401143257 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO Science Series, Series C: Mathematical and Physical Sciences: 558 |
Keywords: | Physics , Observations, Astronomical , Astronomy , Astrophysics , Physics , Astrophysics and Astroparticles , Astronomy, Observations and Techniques |
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Call number: | SPRINGER-2000-9783642572012:ONLINE Show nearby items on shelf |
Title: | Computer Algebra in Scientific Computing CASC 2000 |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (439 p.) |
Note: | 10.1007/978-3-642-57201-2 |
Contents: | Fast Matrix Computation of Subresultant Polynomial Remainder Sequences -- About Simultaneous Representation of Two Natural Numbers by a Sum of Three Primes -- On a Description of Irreducible Component in the Set of Nilpotent Leibniz |
Algebras Containing the Algebra of Maximal Nilindex, and Classification of Graded Filiform Leibniz Algebras -- Application of Computer Algebra in Problems on Stabilization of Gyroscopic Systems -- Implementing Computational Services | |
Based on OpenMath -- Group Classification of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas -- Plotting Functions and Singularities with Maple and Java on a Component-based Web Architecture -- Stable | |
Self-Oscillatory Regimes in Volterra Models of Three Populations -- Computing “Small” 1-Homological Models for Commutative Differential Graded Algebras -- Effective computation of algebra of derivations of Lie algebras -- An | |
Integration and Reduction for Ordinary Non Linear Differential Equations Library -- Complexity of Derivatives Generated by Symbolic Differentiation -- An Assessment of the Efficiency of Computer Algebra Systems in the Solution of | |
Scientific Computing Problems -- On the Relation Between Pommaret and Janet Bases -- An (Asymptotic) Error Bound for the Evaluation of Polynomials at Roots -- Three Remarks on Comprehensive Gröbner and SAGBI Bases -- Computing the | |
Cylindrical Algebraic Decomposition Adapted to a Set of Equalities -- Symbolic Algorithms of Algebraic Perturbation Theory for a Hydrogen Atom: the Stark Effect -- CADECOM: Computer Algebra software for functional DECOMposition -- | |
Computeralgebra and the Systematic Construction of Finite Unlabeled Structures -- Heat Invariant E2 for Nonminimal Operator on Manifolds with Torsion -- Computer Algebra for Automated Performance Modeling of Fortran Programs -- A | |
Parallel Symbolic-Numerical Approach to Algebraic Curve Plotting -- Parametric Analysis for a Nonlinear System -- Extended Splicing System and Semigroup of Dominoes -- Newton Polyhedra and the Reversible System of Ordinary Differential | |
Equations -- Condition Analysis of Overdetermined Algebraic Problems -- An Algebraic Approach to Offsetting and Blending of Solids -- Application of Computer Algebra Methods to Some Problems of Theoretical and Applied Celestial | |
Mechanics -- Computing the Frobenius Normal Form of a Sparse Matrix -- Lessons Learned from Using CORBA for Components in Scientific Computing -- Deciding Linear-Transcendental Problems -- Author Index | |
ISBN: | 9783642572012 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algorithms , Physics , Mathematics , Algorithms , Theoretical, Mathematical and Computational Physics , Algorithm Analysis and Problem Complexity |
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Call number: | SPRINGER-1999-9783662092408:ONLINE Show nearby items on shelf |
Title: | Theory of Orbits Perturbative and Geometrical Methods |
Author(s): |
Dino Boccaletti |
Date: | 1999 |
Size: | 1 online resource (423 p.) |
Note: | 10.1007/978-3-662-09240-8 |
Contents: | 6. Classical Perturbation Theory in Celestial Mechanics. The Equations of Planetary Motion -- 7. Canonical Perturbation Theory -- 8. Lie Transform Perturbation Theory -- 9. The Theory of Adiabatic Invariants -- 10. Periodic Orbits and |
Resonances -- 11. Chaos -- 12. Numerical Experiments -- Bibliographical Notes -- Name Index -- Corrections to Volume 1 | |
ISBN: | 9783662092408 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Geophysics , Observations, Astronomical , Astronomy , Astrophysics , Space sciences , Statistical physics , Dynamical systems , Physics , Astrophysics and Astroparticles , Astronomy, Observations and Techniques , Statistical Physics, Dynamical Systems and Complexity , Extraterrestrial Physics, Space Sciences , Geophysics/Geodesy |
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Call number: | SPRINGER-1999-9783662039182:ONLINE Show nearby items on shelf |
Title: | Physics of Planetary Rings Celestial Mechanics of Continuous Media |
Author(s): |
Alexei M Fridman |
Date: | 1999 |
Size: | 1 online resource (437 p.) |
Note: | 10.1007/978-3-662-03918-2 |
Contents: | 1. Introduction -- 2. Observational Data -- 3. Celestial Mechanics Minimum -- 4. Elementary Particle Dynamics. I Rigid Body Collisions -- 5. Elementary Particle Dynamics. II Ring Cosmogony -- 6. Elementary Particle Dynamics. III Wave, |
Photometric, and Other Effects -- 7. Collective Dynamics of Disc Particles. I Formalism -- 8. Collective Dynamics of Disc Particles. II Stability Analysis -- 9. Resonance Effects in Planetary Rings. I Spiral Waves -- 10. Resonance | |
Effects in Planetary Rings. II Narrow Ringlets and Satellites -- 11. Formation and Stability of the Uranian Rings -- 12. Origin, Dynamics, and Stability of the Neptunian Rings -- 13. Self-organisation of the Solar System -- 14. Space | |
Studies of the Outer Planets -- Conclusion -- Appendices I. The Possibility of Studying the Dynamics of Astrophysical Discs in a Two-Dimensional Approach -- 1. Introduction -- 2. Original Equations for the “Volume” Functions -- 2.1 | |
Initial Dynamic Equations -- 2.2 Equation of State -- 3. Derivation of the Basic Equations for the “Plane” Functions -- 3.1 Order-of-Magnitude Estimates of the Terms in the Initial Equations -- 3.2 The Two Limiting Cases of | |
Astrophysical Discs -- 3.3 Limitations of the Characteristic Times of Processes Studied in the Two-Dimensional Approximation -- 3.4 Closed System of Integro-differential Equations for a Barotropic Disc -- 4. Closed Set of Differential | |
Equations for a Polytropic Disc in an External Gravitational Field -- 4.1 Derivation of the Two-Dimensional Equations -- 5. Closed Set of Differential Equations for a Polytropic Self-gravitating Disc -- 5.1 Derivation of the | |
Two-Dimensional Equations -- 5.2 Why Does the Gradient of the Plane Pressure Not Have the Physical Meaning of a Force? -- 6. Conclusion -- 1. Derivation of a Closed Set of Integro-differential Equations -- 2. Derivation of the | |
Dispersion Equation Describing the Three-Dimensional Perturbations -- 4. Dispersion Relation for Waves in the Plane of the Disc -- 5. The Role of Perturbations Along the Rotation Axis -- 5.1 Condition for Neglecting Mass Transfer Along | |
the Rotation Axis -- 5.1.1 General Case -- 5.1.2 Isothermal Disc -- 6. Conclusion -- III. Derivation of the Linearised Equations for Oscillations of a Viscous Disc -- 1. Derivation of the Linearised Equations for Oscillations of a | |
Viscous Uniformly Rotating Disc -- 2. Derivation of the Linearised Equations for Oscillations of a Viscous Differentially Rotating Disc of Inelastic Particles with Account of External Matter Fluxes -- 3. Derivation of the General | |
Dispersion Equation -- IV. Evaluating the Gravitational Potential Inside and Outside a Triaxial Ellipsoid -- 1. Potential Inside the Ellipsoid -- 2. Potential Outside the Ellipsoid -- V. A Drift Mechanism for the Formation of the | |
Cassini Division -- 1. Introduction -- 2. Statement of the Problem -- 3. Derivation of the Non-linear Momentum Conservation Equations -- 4. Time-Averaged Non-linear Momentum Conservation Equations -- 5. Absence of Averaged Radial Mass | |
Flux in a Dissipationless Disc. Large-Scale Convection -- 6. Radial Mass Transfer in a Viscous Disc -- 7. Evolution of the Surface Density of a Disc -- 8. Conditions for the Formation of Different Types of Resonant Structures: Gaps or | |
Wavetrains? -- 9. Estimate of the Maximum Width of a Gap Produced by a Density Wave -- 10. Some Additional Remarks -- VI. Resonance Structures in Saturn’s C Ring -- References | |
ISBN: | 9783662039182 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Observations, Astronomical , Astronomy , Space sciences , Amorphous substances , Complex fluids , Physics , Extraterrestrial Physics, Space Sciences , Astronomy, Observations and Techniques , Soft and Granular Matter, Complex Fluids and Microfluidics |
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