Resumen de A Global Regularization for the (N + 1)-Body Problem with the Primaries in a Regular N-gon Central Configuration
Martha Alvarez, Claudio Vidal
In the present paper, we consider the restricted planar (N+1) -body problem where N≥3 bodies (called primaries) interacting with one another according to Newtonian law which are in the vertices of a regular N-gon with the origin at the center of masses of the coordinate system. We prove that the simultaneous binary collision between the infinitesimal mass and any primary are regularizable, through the implementation of Birkhoff-type transformation.
