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Article overview
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Generalization of Levi-Civita regularization in the restricted three-body problem | | R. Roman
; I. Szucs-Csillik
; | | Date: |
9 Sep 2013 | | 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. | | Source: | arXiv, 1309.2099 | | Services: | Forum | Review | PDF | Favorites | |
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