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Geometry of celestial mechanics / Hansjorg Geiges.

By: Material type: TextTextSeries: London Mathematical Society student texts ; 83.Publication details: Cambridge : Cambridge University Press, 2016.Description: xv, 223 pages : illustrations ; 24 cmISBN:
  • 9781107564800 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 521 23 G312
Contents:
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.
Summary: A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numerous exercises and extensive historical notes also support self-study.
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Includes bibliographical references and index.

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.

A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numerous exercises and extensive historical notes also support self-study.

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