Relative equilibria in the 3-dimensional curved n-body problem
- Responsibility
- Florin Diacu.
- Language
- English. Text in English.
- Publication
- Providence, Rhode Island : American Mathematical Society, 2014.
- Physical description
- v, 80 pages ; 26 cm.
- Series
- Memoirs of the American Mathematical Society ; no. 1071.
Access
Math & Statistics Library
Serials
| Call number | Status |
|---|---|
| Shelved by Series title NO.1071 |
More options
Creators/Contributors
- Author/Creator
- Diacu, Florin, 1959- author.
Contents/Summary
- Bibliography
- Includes bibliographical references.
- Contents
-
- Introduction Background and equations of motion Isometries and relative equilibria Criteria and qualitative behaviour Examples Conclusions Bibliography.
- (source: Nielsen Book Data)9780821891360 20160612
- Publisher's Summary
- The author considers the 3 -dimensional gravitational n -body problem, n 2 , in spaces of constant Gaussian curvature K ' 0 , i.e. on spheres S 3 ?' , for ?>0 , and on hyperbolic manifolds H 3 ?', for ?<0 . His goal is to define and study relative equilibria, which are orbits whose mutual distances remain constant in time. He also briefly discusses the issue of singularities in order to avoid impossible configurations. He derives the equations of motion and defines six classes of relative equilibria, which follow naturally from the geometric properties of S 3 ? and H 3 ? . Then he proves several criteria, each expressing the conditions for the existence of a certain class of relative equilibria, some of which have a simple rotation, whereas others perform a double rotation, and he describes their qualitative behaviour.
(source: Nielsen Book Data)9780821891360 20160612
Bibliographic information
- Publication date
- 2014
- Title Variation
- Relative equilibria in the three-dimensional curved n-body problem
- Series
- Memoirs of the American Mathematical Society ; number 1071
- Note
- "Volume 228, number 1071 (third of 5 numbers), March 2014."
- ISBN
- 9780821891360 (pbk. : alk. paper)
- 0821891367 (pbk. : alk. paper)
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