Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7174563 | International Journal of Non-Linear Mechanics | 2014 | 5 Pages |
Abstract
We study a special case of the three-body problem where two bodies are the same mass and there is a manifold of symmetrical motions. We find conditions of existence of bounded symmetric motions. To analyze stability, we substantially rely on the structure of the manifold of symmetric motions and use integrals of energy and angular momentum.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Stepan P. Sosnitskii,