The Three-Body Problem

ISBN-13: 9780521852241 / Angielski / Twarda / 2006 / 356 str.

Mauri Valtonen; Hannu Karttunen

Opis

How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincare's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. This book should be essential reading for students in a rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.

Recenzje

' … a well-judged and fundamental book [on a] subject of permanent value.' Celestial Mech. Dyn. Astr.

Spis treści

1. Astrophysics and three-body problem; 2. Newtonian mechanics; 3. Two-body problem; 4. Hamiltonian mechanics; 5. The planar restricted circular three body problem and other special cases; 6. Three-body scattering; 7. Escape in the general three body problem; 8. Scattering and capture in the general problem; 9. Perturbations in hierarchical systems; 10. Perurbations in strong three-body encounters; 11. Some astrophysical problems.