Foundations of Celestial Mechanics
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Beschreibung
This book provides an introduction to classical celestial mechanics. It is based on lectures delivered by the authors over many years at both Padua University (MC) and V.N. Karazin Kharkiv National University (EB). The book aims to provide a mathematical description of the gravitational interaction of celestial bodies. The approach to the problem is purely formal. It allows the authors to write equations of motion and solve them to the greatest degree possible, either exactly or by approximate techniques, when there is no other way. The results obtained provide predictions that can be compared with the observations. Five chapters are supplemented by appendices that review certain mathematical tools, deepen some questions (so as not to interrupt the logic of the mainframe with heavy technicalities), give some examples, and provide an overview of special functions useful here, as well as in many other fields of physics. The authors also present the original investigation of torus potential. This book is aimed at senior undergraduate students of physics or astrophysics, as well as graduate students undertaking a master’s degree or Ph.D.
This book provides an introduction to classical celestial mechanics. It is based on lectures delivered by the authors over many years at both Padua University (MC) and V.N. Karazin Kharkiv National University (EB). The book aims to provide a mathematical description of the gravitational interaction of celestial bodies. The approach to the problem is purely formal. It allows the authors to write equations of motion and solve them to the greatest degree possible, either exactly or by approximate techniques, when there is no other way. The results obtained provide predictions that can be compared with the observations. Five chapters are supplemented by appendices that review certain mathematical tools, deepen some questions (so as not to interrupt the logic of the mainframe with heavy technicalities), give some examples, and provide an overview of special functions useful here, as well as in many other fields of physics. The authors also present the original investigation of torus potential. This book is aimed at senior undergraduate students of physics or astrophysics, as well as graduate students undertaking a master’s degree or Ph.D.
Explains the physics underlying the mathematical treatment in detail Provides comprehensive descriptions of its detailed applications in real cases Offers a rich set of mathematical tools useful beyond applications in celestial mechanics
Autor*in
Elena Bannikova
Themen in »Foundations of Celestial Mechanics«
Celestial Mechanics textbook Gravitational potential Analytical Mechanics Orbital dynamics Solar System Satellite trajectories Ephemeris
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“The text is rigorously written, providing a mathematical explanation of how celestial bodies interact through gravity. … there are many references available for those interested in a more detailed and plentiful information. Taken in its entirety, this book could serve as a textbook for courses in Celestial Mechanics and Analytical Mechanics.” (Martha Alvarez-Ramírez, zbMATH 1525.70001, 2024)
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