Regularization in the Restricted Four Body Problem
Abstract
The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian config- uration of the three-body problem, i,e,. they remain fixed at the apices of an equilateral triangle in a rotating coordinate system. A massless fourth body moves under the Newtonian gravitation law due to the three pri- maries; as in the restricted three-body problem the fourth mass does not affect the motion of the three primaries. In this paper we show a global regularization of binary collisions of the infinitesimal body with two of the primaries.
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Cite
@article{arxiv.1310.5274,
title = {Regularization in the Restricted Four Body Problem},
author = {Jaime Burgos-Garcia},
journal= {arXiv preprint arXiv:1310.5274},
year = {2013}
}
Comments
Reasearh article published in Aportaciones Matematicas Memorias de la Sociedad Matematica Mexicana 45 (2012). arXiv admin note: text overlap with arXiv:1205.3446, arXiv:1210.0144