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arXiv · 2311.03521

Lagrange points of Euler's solutions of the 3-body problem

Oscar Perdomo
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Abstract

In this paper we classify the central configurations of the circular restricted 4-body problem with three primaries at the collinear configuration of the 3-body problem and an infinitesimal mass. The case where the three primaries have the same mass, with one of the bodies staying motionless at the center of mass, was considered in 2021 by Llibre. The video \url{https://youtu.be/PWFtqxd4RUA} goes over some of the results in this paper.

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Oscar Perdomo. 2023-11-06. Lagrange points of Euler's solutions of the 3-body problem. https://arxiv.org/abs/2311.03521

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