TY - BOOK AU - Geiges,Hansjorg TI - Geometry of celestial mechanics T2 - London Mathematical Society student texts SN - 9781107564800 (pbk. : alk. paper) U1 - 521 23 PY - 2016/// CY - Cambridge : PB - Cambridge University Press KW - Celestial mechanics N1 - 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 N2 - 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. ER -