The geometry of celestial mechanics
 Responsibility
 Hansjörg Geiges, University of Cologne.
 Publication
 Cambridge : Cambridge University Press, 2016.
 Physical description
 xv, 223 pages : illustrations ; 24 cm.
 Series
 London Mathematical Society student texts ; 83.
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

QB355.3 .G45 2016  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Geiges, Hansjörg, 1966
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface
 1. The central force problem
 2. Conic sections
 3. The Kepler problem
 4. The dynamics of the Kepler problem
 5. The twobody problem
 6. The nbody problem
 7. The threebody problem
 8. The differential geometry of the Kepler problem
 9. Hamiltonian mechanics
 10. The topology of the Kepler problem Bibliography Index.
 (source: Nielsen Book Data)
 Summary

Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.
(source: Nielsen Book Data)  Supplemental links
 Cambridge Core
Bibliographic information
 Publication date
 2016
 Copyright date
 2016
 Series
 London Mathematical Society student texts ; 83
 ISBN
 9781107125407 (hardback ; alk. paper)
 1107125405 (hardback ; alk. paper)
 9781107564800 (pbk. ; alk. paper)
 1107564808 (pbk. ; alk. paper)