A planar case of the n + 1 body problem: The 'ring' problem
(EN)
Kalvouridis, TJ
(EN)
Our intention in this article is to present a new model for the investigation of the motion of a particle of negligible mass in a multibody surrounding. The proposed general planar configuration consists of nu = n - 1 primaries arranged in equal arcs on an ideal ring and a central body of different mass located at the centre of mass of the system. We formulate the general equations of motion and we study the stationary solutions and the zero-velocity contours for various values of nu.
(EN)