Generalization of Levi-Civita regularization in the restricted three-body problem |
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Authors: | R Roman I Szücs-Csillik |
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Institution: | 1. Astronomical Institute of Romanian Academy, Astronomical Observatory Cluj-Napoca, Str. Ciresilor No. 19, 400487, Cluj-Napoca, Romania
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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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