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Solar System Dynamics

Author: Carl D. Murray

Publisher: Cambridge University Press

Published: 2000-02-13

Total Pages: 612

ISBN-13: 1139936158

The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.

Solar System Dynamics

Author: Carl D. Murray

Publisher: Cambridge University Press

Published: 1999

Total Pages: 612

ISBN-13: 9780521575973

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Solar System Dynamics

Author: Carl D. Murray

Publisher: Cambridge University Press

Published: 2000-02-13

Total Pages: 606

ISBN-13: 9780521572958

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The force of gravity acting over eons has provided the solar system with an intricate dynamical structure, much of it revealed by recent space missions. This comprehensive introduction to the dynamical features of the solar system also provides all the mathematical tools and physical models needed for a complete understanding of the subject. Clearly written and well illustrated coverage shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package help students to fully develop their understanding of the subject. This volume provides an authoritative textbook for advanced undergraduate and graduate courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and nonlinear dynamics. Written by two leading figures in planetary dynamics, it is a benchmark publication in the field and destined to become a classic.

Physics of the Solar System

Author: B. Bertotti

Publisher: Springer Science & Business Media

Published: 2003

Total Pages: 734

ISBN-13: 9781402014284

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This volume covers most areas in the physics of the solar system, with special emphasis on gravitational dynamics; its gist is the rational, in particular mathematical, understanding of the main processes at work. Special stress is given to the variety of objects in the planetary system and their long-term evolution. The unique character of this book is its breadth and depth, which aims at bringing the reader to the threshold of original research; however, special chapters and introductory sections are included for the benefit of the beginner. The volume is generally suitable for post-graduate students and researchers in physics, especially in the field related to the solar system. A large amount of figures and diagrams is included, often compiled with real data.

Formation, Evolution, and Dynamics of Young Solar Systems

Author: Martin Pessah

Publisher: Springer

Published: 2017-12-04

Total Pages: 374

ISBN-13: 3319606093

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This book's interdisciplinary scope aims at bridging various communities: 1) cosmochemists, who study meteoritic samples from our own solar system, 2) (sub-) millimetre astronomers, who measure the distribution of dust and gas of star-forming regions and planet-forming discs, 3) disc modellers, who describe the complex photo-chemical structure of parametric discs to fit these to observation, 4) computational astrophysicists, who attempt to decipher the dynamical structure of magnetised gaseous discs, and the effects the resulting internal structure has on the aerodynamic re-distribution of embedded solids, 5) theoreticians in planet formation theory, who aim to piece it all together eventually arriving at a coherent holistic picture of the architectures of planetary systems discovered by 6) the exoplanet observers, who provide us with unprecedented samples of exoplanet worlds. Combining these diverse fields the book sheds light onto the riddles that research on planet formation is currently confronted with, and paves the way for a comprehensive understanding of the formation, evolution, and dynamics of young solar systems. The chapters ‘Chondrules – Ubiquitous Chondritic Solids Tracking the Evolution of the Solar Protoplanetary Disk’, ‘Dust Coagulation with Porosity Evolution’ and ‘The Emerging Paradigm of Pebble Accretion’ are published open access under a CC BY 4.0 license via link.springer.com.

Modern Celestial Mechanics

Author: Alessandro Morbidelli

Publisher: CRC Press

Published: 2002-05-16

Total Pages: 0

ISBN-13: 9780415279383

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In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.

Physics of the Solar System

Author: B. Bertotti

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 706

ISBN-13: 9401002339

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This book is a direct sequel to: B. Bcrtotri and P. Farinclla, "Physics of the Earth and the Solar System, Dynamics and Evolution. Space Navigation. Spa cc-Time Structure" (Kluwcr Academic Publishers, 1990). Nearly 15 years af tcr its publication it became evident that the volume was in need of a new edition to keep up with the outstanding progress and the changing perspectives in this field. David Vokrouhlicky agreed to collaborate on the project and be the third author. On March 25, 2000. after a tong illness and a heart transplant. Paolo Farinella passed away. We then decided that. rather than aiming at a second edition, it made more sense to rewrite the book anew. While its basic content and the structure of the chapters are the same, important new topics have been added, including the extrasolar planetary systems, transneptunian objects. accurate determination of reference frames and new space projects. Greater relevance has been given to scmiquantitarive discussions before intro ducing formal developments: many figures have been added and updated and several errors corrected. More emphasis has given to the solar system, whereas geophysical topics have been left at a less advanced level. To mark this change the slightly differ ent title "Physics of the Solar System" was chosen. We wish to dedicate this book to the memory of Paolo Farinella. an out standing scientist, an invaluable collaborator and a dear friend.

Topics in Gravitational Dynamics

Author: Daniel Benest

Publisher: Springer Science & Business Media

Published: 2008-01-02

Total Pages: 419

ISBN-13: 3540729836

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This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the 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 the Nekhoroshev theorem.

Physics of the Earth and the Solar System

Author: B. Bertotti

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 494

ISBN-13: 9400919166

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From the reviews: ".....The book is a very good balance between theory and applications, of analysis and synthesis, keeping always the focus on the comprehension of the physics ruling our planetary system. In summary, this represents both an excellent textbook for students and a fundamental reference, and encyclopedic summary current knowledge, for researchers in the Solar System field." (Alessandro Rossi, Celestial Mechanics and Dynamical Astronomy, 2005)

Relativistic Celestial Mechanics of the Solar System

Author: Sergei Kopeikin

Publisher: John Wiley & Sons

Published: 2011-10-25

Total Pages: 897

ISBN-13: 3527634576

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This authoritative book presents the theoretical development of gravitational physics as it applies to the dynamics of celestial bodies and the analysis of precise astronomical observations. In so doing, it fills the need for a textbook that teaches modern dynamical astronomy with a strong emphasis on the relativistic aspects of the subject produced by the curved geometry of four-dimensional spacetime. The first three chapters review the fundamental principles of celestial mechanics and of special and general relativity. This background material forms the basis for understanding relativistic reference frames, the celestial mechanics of N-body systems, and high-precision astrometry, navigation, and geodesy, which are then treated in the following five chapters. The final chapter provides an overview of the new field of applied relativity, based on recent recommendations from the International Astronomical Union. The book is suitable for teaching advanced undergraduate honors programs and graduate courses, while equally serving as a reference for professional research scientists working in relativity and dynamical astronomy. The authors bring their extensive theoretical and practical experience to the subject. Sergei Kopeikin is a professor at the University of Missouri, while Michael Efroimsky and George Kaplan work at the United States Naval Observatory, one of the world?s premier institutions for expertise in astrometry, celestial mechanics, and timekeeping.