Foundations of celestial mechanics / Elena Bannikova, Massimo Capaccioli.

Format:

Book

Author/Creator:

Bannikova, Elena Y., author.

Capaccioli, M., author.

Series:

Graduate texts in physics

Language:

English

Subjects (All):

Celestial mechanics.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (black and white, and color).

Place of Publication:

Cham, Switzerland : Springer, 2022.

Summary:

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 masters degree or Ph.D.

Contents:

1. N -body problem

2. Two-body problem

3. Three-body problem

4. Analytical mechanics

5. Gravitational potential

Appendix.

Notes:

Includes bibliographical references and index.

Print version record.

Other Format:

Print version: BANNIKOVA, ELENA Y.. CAPACCIOLI, MASSIMO. FOUNDATIONS OF CELESTIAL MECHANICS.

ISBN:

9783031045769

3031045769

OCLC:

1355501171

Access Restriction:

Restricted for use by site license.