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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.
Relatively small climate fluctuations, such as the warming period that was observed in recent decades, occur over periods of tens and hundreds of years, and are called near-term climate fluctuations. More significant climate changes occur over periods of tens of thousands of years, and they are called long-term climate changes. As a result of the interaction of the Earth with the Moon, the Sun and the planets, the orbital and rotational movements of the Earth are evolving. The orbit itself rotates counter-clockwise in its plane, making a complete revolution in 147 thousand years, and its axis makes one revolution in 68.7 thousand years around a certain direction. The axis of rotation of the Earth also rotates clockwise in 25.7 thousand years around another direction. In addition, these axes also exercise oscillatory movements. As a result of the evolution of these movements, the insolation of the Earth and, consequently, the Earth’s climate undergo changes. These long-term changes in the Earth’s insolation are analyzed in the astronomical theory of climate change, first proposed by M. Milankovich almost one hundred years ago. This book presents a new version of this theory. In contrast to the previous version, the problems concerning the evolution of the orbital and rotational movements of the Earth are solved here in a different way, with new results obtained. These new results coincide with observations and with the warming and cooling periods that took place in the Earth’s history. This book is intended for a wide range of readers of different specialties and ages. It can be used by both undergraduate students and graduate students in preparation of their term papers and dissertations.
Minor bodies in the Solar System, though representing only a small fraction of the mass in the Solar System, may well play a fundamental role in terrestrial evolution. This book contains investigations of the dynamics and physics of comets, asteroids and meteor streams, and the rather controversial topic of periodic phenomena in the Solar System as signified by geological records, together with several associated developments in celestial dynamics. All these problems are interwoven. This book makes a contribution towards unravelling the nature of the interactions between the Earth and its celestial environment.
A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.