Foundations of Celestial Mechanics

This book provides an introduction to classical celestial mechanics, based on lectures delivered by the authors at Padua University and V.N. Karazin Kharkiv National University. It aims to provide a mathematical description of the gravitational interaction of celestial bodies and allows for the solution of equations of motion either exactly or by approximate techniques.

Format: Hardback
Length: 392 pages
Publication date: 03 December 2022
Publisher: Springer International Publishing AG

This comprehensive textbook offers an in-depth exploration into classical celestial mechanics, drawing upon the extensive knowledge and expertise of the authors. Delivered over numerous years at esteemed institutions such as Padua University (MC) and V.N. Karazin Kharkiv National University (EB), the book serves as a valuable resource for students and scholars alike. Its primary objective is to provide a mathematical framework for understanding the intricate gravitational interactions between celestial bodies.

The authors adopt a purely formal approach to the problem, allowing them to derive equations of motion and employ precise or approximate techniques to solve them, whenever feasible. The resulting predictions generated by this rigorous approach can be closely compared with actual observations, providing a powerful validation of the theoretical framework.

To enhance the learning experience, the book is supplemented with five chapters and appendices. The appendices serve multiple purposes, including reviewing essential mathematical tools, deepening certain concepts to maintain the flow of the main text, presenting illustrative examples, and providing an overview of specialized functions that find applications in various fields of physics, including celestial mechanics. Additionally, the authors present their original investigation into the torus potential, adding an insightful dimension to the subject matter.

This textbook is specifically designed for advanced undergraduate students in physics or astrophysics, as well as graduate students pursuing a master's degree or Ph.D. in the field. Its comprehensive coverage, rigorous mathematical approach, and practical applications make it an essential resource for anyone seeking to delve deeper into the complexities of classical celestial mechanics.

Weight: 781g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031045752
Edition number: 1st ed. 2022