The Geometry of Celestial Mechanics

ISBN-13: 9781107125407 / Angielski / Twarda / 2016 / 240 str.

Hansjorg Geiges

Opis

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

Recenzje

'The book fulfills the authors quest, as stated in the preface, 'for students to experience differential geometry and topology 'in action' (in the historical context of celestial mechanics) rather than as abstractions in traditional courses on the two subjects.' Lennard F. Bakker, Mathematical Reviews

Spis treści

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.