Restricted N + 1-Body Problem: Existence and Stability Of Relative Equilibria

Details Restricted N + 1-Body Problem: Existence and Stability Of Relative Equilibria Restricted N + 1-Body Problem: Existence and Stability Of Relative Equilibria

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..305b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 4, p. 305-318 (2004).

Astronomy and Astrophysics

Astronomy

6

Relative Equilibrium, Restricted N-Body Problem, Stability

Scientific paper

We consider n bodies (with equal mass m) disposed at the vertices of a regular n-gon and rotating rigidly around an additional mass m 0(at its center) with a constant angular velocity (relative equilibrium). In the present paper, we prove results on the existence and on the linear stability of equilibrium positions for a zero-mass particle submitted to the gravitational field generated by the previous system.

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