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arXiv · 1310.5274

Regularization in the Restricted Four Body Problem

Jaime Burgos-Garcia
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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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Jaime Burgos-Garcia. 2013-10-19. Regularization in the Restricted Four Body Problem. https://arxiv.org/abs/1310.5274

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