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"An introduction to celestial mechanics for advanced undergraduates, graduate students, and researchers new to the field. Celestial mechanics-the study of the movement of planets, satellites, and smaller bodies such as comets-is one of the oldest subjects in the physical sciences. Since the mid-twentieth century, the field has experienced a renaissance due to advances in space flight, digital computing, numerical mathematics, nonlinear dynamics, and chaos theory, and the discovery of exoplanets. This modern, authoritative introduction to planetary system dynamics reflects these recent developments and discoveries and is suitable for advanced undergraduate and graduate students as well as researchers. The book treats both traditional subjects, such as the two-body and three-body problems, lunar theory, and Hamiltonian perturbation theory, as well as a diverse range of other topics, including chaos in the solar system, comet dynamics, extrasolar planets, planetesimal dynamics, resonances, tidal friction and disruption, and more. The book provides readers with all the core concepts, tools, and methods needed to conduct research in the subject. Provides an authoritative introduction that reflects recent advances in the field. Topics treated include Andoyer variables, co-orbital satellites and quasi-satellites, Hill's problem, the Milankovich equations, Colombo's top and Cassini states, the Yarkovsky and YORP effects, orbit determination for extrasolar planets, and more. More than 100 end-of-book problems elaborate on concepts not fully covered in the main text. Appendixes summarize the necessary background material. Suitable for advanced undergraduates and graduate students; some knowledge of Hamiltonian mechanics and methods of mathematical physics (vectors, matrices, special functions, etc.) required. Solutions manual available on request for instructors who adopt the book for a course"--

Celestial mechanics.

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"Many have heard of Aristotle's First Unmoved Mover, the one that moves all things without being moved. Very few, however, have managed to capture the ultimate meaning of that entity. Explaining why it is necessary the existence of such a First Unmoved Mover is one of the goals of this book, but, even more, its journey allows us to understand why Aristotle maintained that there are a total of 55 Unmoved Movers, not just one. The key is Aristotelian astronomy, little studied so far in comparison with other aspects of his thought. In this solid piece of research and free philosophical speculation that Botteri & Casazza offer us, the authors' gaze raised to the sky-by means of the naked-eye analysis of celestial movements-leads to the reconstruction of Aristotle's astronomical system, key to understanding his cosmology, his physics, and even his metaphysics. A friendly book, in which the reader celebrates page after page the magnificent explanatory graphics. A book matured, coherent, creative, and intense, which should not be missing in any philosophical library. This book is a revised English translation from the original Spanish publication El sistema astronómico de Aristoteles: Una interpretación, published by Ediciones Biblioteca Nacional, Buenos Aires, 2015"--

Astronomy, Greek. --- Celestial mechanics --- Early works to 1800. --- Aristotle --- Criticism and interpretation.

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An introduction to celestial mechanics for advanced undergraduates, graduate students, and researchers new to the field. Celestial mechanics-the study of the movement of planets, satellites, and smaller bodies such as comets-is one of the oldest subjects in the physical sciences. Since the mid-twentieth century, the field has experienced a renaissance due to advances in space flight, digital computing, numerical mathematics, nonlinear dynamics, and chaos theory, and the discovery of exoplanets. This modern, authoritative introduction to planetary system dynamics reflects these recent developments and discoveries and is suitable for advanced undergraduate and graduate students as well as researchers. The book treats both traditional subjects, such as the two-body and three-body problems, lunar theory, and Hamiltonian perturbation theory, as well as a diverse range of other topics, including chaos in the solar system, comet dynamics, extrasolar planets, planetesimal dynamics, resonances, tidal friction and disruption, and more. The book provides readers with all the core concepts, tools, and methods needed to conduct research in the subject. Provides an authoritative introduction that reflects recent advances in the field. Topics treated include Andoyer variables, co-orbital satellites and quasi-satellites, Hill's problem, the Milankovich equations, Colombo's top and Cassini states, the Yarkovsky and YORP effects, orbit determination for extrasolar planets, and more. More than 100 end-of-book problems elaborate on concepts not fully covered in the main text. Appendixes summarize the necessary background material. Suitable for advanced undergraduates and graduate students; some knowledge of Hamiltonian mechanics and methods of mathematical physics (vectors, matrices, special functions, etc.) required. Solutions manual available on request for instructors who adopt the book for a course.

Celestial mechanics. --- SCIENCE / Physics / Astrophysics --- SCIENCE / Space Science / General --- Mécanique céleste.