The Geometry of Celestial Mechanics

The Geometry of Celestial Mechanics

by Hansjorg Geiges


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Product Details

ISBN-13: 9781107564800
Publisher: Cambridge University Press
Publication date: 03/24/2016
Series: London Mathematical Society Student Texts Series , #83
Pages: 236
Product dimensions: 5.98(w) x 8.98(h) x 0.55(d)

About the Author

Hansjörg Geiges is Professor of Mathematics at the University of Cologne. He has received several teaching awards, and an EMS prize for mathematical exposition. His book An Introduction to Contact Topology (Cambridge, 2008), has become a highly cited standard reference for the field.

Table of Contents

Preface; 1. The central force problem; 2. Conic sections; 3. The Kepler problem; 4. The dynamics of the Kepler problem; 5. The two-body problem; 6. The n-body problem; 7. The three-body problem; 8. The differential geometry of the Kepler problem; 9. Hamiltonian mechanics; 10. The topology of the Kepler problem; Bibliography; Index.

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