Solar System Dynamics

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.

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.

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.

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.

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.

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.

Since the discovery of the first exoplanet orbiting a main sequence star in 1995, nearly 500 planets have been detected, with this number expected to increase dramatically as new ground-based planetary searches begin to report their results. Emerging techniques offer the tantalizing possibility of detecting an Earth-mass planet in the habitable zone of a solar-type star as well as the exciting prospect of studying exoplanetary atmospheres that could reveal the presence of biomarkers, such as water vapor, oxygen, and carbon dioxide. Can we find the "Holy Grail" of exoplanets? Cutting-edge research may reveal the answer Written by internationally renowned scientists at the forefront of the field, Extra-Solar Planets: The Detection, Formation, Evolution and Dynamics of Planetary Systems presents powerful analytical tools and methods for investigating extra-solar planetary systems. It discusses new theories on planetary migration and resonant capture that elucidate the existence of "hot Jupiters." It also examines the astrophysical mechanisms required to assemble gas giant planets close to their parent star. In addition, the expert contributors describe how mathematical tools involving periodicity, chaos, and resonance are used to study the diversity and stability of observed planetary systems. By presenting the fundamental analyses that underpin modern studies of extra-solar planetary systems, this graduate-level book enables readers to thoroughly understand important recent developments and offers a platform for future research. It also improves readers’ understanding of our own solar system and its place in the diverse range of planetary systems discovered so far.

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.