Circular and Elliptic Restricted Three Body Problems -- A Comparison

Robert W. Easton

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arXiv · 2112.07352

Circular and Elliptic Restricted Three Body Problems -- A Comparison

Robert W. Easton

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Abstract

The elliptic restricted three body problem has been well studied. However, the previous formulations of the problem have used a rotating coordinate system to keep the positions of the primary and secondary on the x-axis. This requires the rotation rate of the rotating coordinate system to speed up and slow down. The approach here uses a rotating coordinate system with constant rotation rate. This formulation allows one to conveniently compare solutions of the elliptic problem with solutions of the circular restricted three body problem.

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Robert W. Easton. 2021-12-09. Circular and Elliptic Restricted Three Body Problems -- A Comparison. https://arxiv.org/abs/2112.07352

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