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Scott Tremaine

Dynamics of Planetary Systems

Dynamics of Planetary Systems

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Celestial mechanics is the study of the movement of planets, satellites, and smaller bodies, and has experienced a renaissance due to advances in space flight, digital computing, numerical mathematics, nonlinear dynamics, and chaos theory. This modern introduction is suitable for advanced undergraduate and graduate students and researchers, covering traditional subjects and a diverse range of other topics. It provides readers with the core concepts, tools, and methods needed to conduct research in the subject.

Format: Hardback
Length: 640 pages
Publication date: 04 April 2023
Publisher: Princeton University Press


Celestial mechanics, the study of the movement of planets, satellites, and smaller bodies like comets, is one of the oldest subjects in the physical sciences. Since the mid-twentieth century, the field has experienced a remarkable renaissance due to advancements in space flight, digital computing, numerical mathematics, nonlinear dynamics, and chaos theory, as well as the discovery of exoplanets. This modern and comprehensive introduction to planetary system dynamics caters to advanced undergraduate and graduate students, as well as researchers, and encompasses these recent developments and discoveries.

The book delves into 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. These include chaos in the solar system, comet dynamics, extrasolar planets, planetesimal dynamics, resonances, tidal friction and disruption, and more. By providing readers with all the core concepts, tools, and methods necessary to conduct research in the field, the book serves as a valuable resource for those seeking to delve deeper into the complexities of celestial mechanics.

The book is organized into nine chapters, each covering a specific aspect of celestial mechanics. The first chapter provides an overview of the field, discussing its historical development and the fundamental principles that govern the motion of celestial bodies. The subsequent chapters delve into more detailed topics, such as the dynamics of binary systems, the formation and evolution of planets, and the study of celestial phenomena such as eclipses and comets.

In addition to its theoretical content, the book includes numerous end-of-book problems that elaborate on concepts not fully covered in the main text. These problems serve as valuable exercises for students to reinforce their understanding and apply the knowledge gained throughout the book. Furthermore, appendixes summarize the necessary background material, making it easier for readers to grasp the foundational concepts before delving into the more advanced topics.

With its clear and concise writing style, extensive coverage of topics, and comprehensive appendices, this introduction to celestial mechanics is an essential resource for advanced undergraduates, graduate students, and researchers new to the field. It provides a solid foundation for further study and research in the captivating world of celestial mechanics.


Dimension: 235 x 156 (mm)
ISBN-13: 9780691207124

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