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Foundations of celestial mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foundations of celestial mechanicsby Elena Bannikova, Massimo Capaccioli.
Author:	Bannikova, Elena Y.
other author:	Capaccioli, M.
Published:	Cham :Springer International Publishing :2022.
Description:	xx, 392 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Celestial mechanics.
Online resource:	https://doi.org/10.1007/978-3-031-04576-9
ISBN:	9783031045769$q(electronic bk.)

Foundations of celestial mechanics
Bannikova, Elena Y.

Foundations of celestial mechanics[electronic resource] /by Elena Bannikova, Massimo Capaccioli. - Cham :Springer International Publishing :2022. - xx, 392 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4521. - Graduate texts in physics..

1. N -body problem -- 2. Two-body problem -- 3. Three-body problem -- 4. Analytical mechanics -- 5. Gravitational potential -- Appendix.

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.

ISBN: 9783031045769$q(electronic bk.)

Standard No.: 10.1007/978-3-031-04576-9doiSubjects--Topical Terms:

278312
Celestial mechanics.

LC Class. No.: QB351

Dewey Class. No.: 521

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245 1 0 $a Foundations of celestial mechanics $h [electronic resource] / $c by Elena Bannikova, Massimo Capaccioli.
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490 1 $a Graduate texts in physics, $x 1868-4521
505 0 $a 1. N -body problem -- 2. Two-body problem -- 3. Three-body problem -- 4. Analytical mechanics -- 5. Gravitational potential -- Appendix.
520 $a 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.
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