Restricted N + 1-Body Problem: Existence and Stability Of Relative Equilibria
Source: Celestial Mechanics and Dynamical Astronomy, Volume 89, Number 4, August 2004 , pp. 305-318(14)
Abstract:We consider n bodies (with equal mass m) disposed at the vertices of a regular n-gon and rotating rigidly around an additional mass m0(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.
Document Type: Research Article
Publication date: August 1, 2004