A generic property of the bounded syzygy solutions-Reference-Cited by-同舟云学术

A generic property of the bounded syzygy solutions

Published:1992 Issue:3 Volume:116 Page:809-812
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Diacu Florin N.

Abstract

For a set of masses having positive measure, excepting eventually a negligible set of initial conditions, every noncollinear bounded solution of the planar three-body problem that has a syzygy configuration encounters an infinity of such configurations. Along a noncollinear syzygy solution, the set of syzygy configuration instants is discrete.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-03/S0002-9939-1992-1123650-1/S0002-9939-1992-1123650-1.pdf

Reference8 articles.

1. V. I. Arnol’d, The classical theory of perturbations and the problem of stability of planetary systems, Soviet Math. Dokl. 3 (1962), 1008-1012.

2. On the planar syzygy solutions of the 3-body problem;Diacu, Florin Nicolae;Celestial Mech. Dynam. Astronom.,1989

3. J. K. Moser, Stable and random motions in dynamical systems, Princeton Univ. Press, Princeton, NJ, 1971.

4. P. Painlevé, Leçons sur la théorie analytiques des equations différentielles, Hermann, Paris, 1897.

5. Improbability of collisions in Newtonian gravitational systems;Saari, Donald Gene;Trans. Amer. Math. Soc.,1971

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Syzygy sequences of the -center problem;Ergodic Theory and Dynamical Systems;2016-09-22