Symplectic regularization of binary collisions in the circular N 2 Sitnikov problemReport as inadecuate




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1 OBSPM - Observatoire de Paris - Site de Meudon 2 Dept. of Math.

Abstract : We present a brief overview of the regularizing transformations of the Kepler problem and we relate the Euler transformation with the symplectic structure of the phase space of the N -body problem. We show that any particular solution of the N -body problem where two bodies have rectilinear dynamics can be regularized by a linear symplectic transformation and the inclusion of the Euler transformation into the group of symplectic local diffeomorphisms over the phase space. As an application we regularize a particular configuration of the restricted circular N +2 body problem.

Keywords : Physical Sciences





Author: Hugo Jiménez-Pérez - Ernesto A Lacomba -

Source: https://hal.archives-ouvertes.fr/



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