Hill Stability of Configurations in the Full N-Body Problem
Abstract
Rigorous results on Hill Stability for the classical N-body problem are in general unknown for N >= 3, due to the complex interactions that may occur between bodies and the many different outcomes which may occur. However, the addition of finite density for the bodies along with a rigidity assumption on their mass distribution allows for Hill stability to be easily established. In this note we generalize results on Hill stability developed for the Full 3-body problem and show that it can be applied to the Full N-body problem. Further, we find that Hill Stability concepts can be applied to identify types of configurations which can escape and types which cannot as a function of the system energy.
- Publication:
-
Asteroids: New Observations, New Models
- Pub Date:
- January 2016
- DOI:
- 10.1017/S174392131500719X
- Bibcode:
- 2016IAUS..318..128S