Relative equilibria of the Newtonian n-body problem are studied in the limiting case where some of the masses tend to zero. The small masses may form clusters. Equations for these clusters are derived and analyzed. Stability conditions for the resulting periodic orbits of the n-body problem are given.
Bibliographical noteFunding Information:
This research was supported by the NSF.
- Celestial mechanics
- N-body problem
- Relative equilibria