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arXiv · 1309.2099

Generalization of Levi-Civita regularization in the restricted three-body problem

R. Roman·I. Szucs-Csillik
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Abstract

A family of polynomial coupled function of $n$ degree is proposed, in order to generalize the Levi-Civita regularization method, in the restricted three-body problem. Analytical relationship between polar radii in the physical plane and in the regularized plane are established; similar for polar angles. As a numerical application, trajectories of the test particle using polynomial functions of $2, 3,..., 8$ degree are obtained. For the polynomial of second degree, the Levi-Civita regularization method is found.

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R. Roman, I. Szucs-Csillik. 2013-09-09. Generalization of Levi-Civita regularization in the restricted three-body problem. https://doi.org/10.1007/s10509-013-1628-6

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