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arXiv · 2501.03517

Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution

Karine Santos
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Abstract

This paper presents a study of the isosceles problem resulting by a perturbation of Euler's collinear solution under Newtonian gravitational attraction of three bodies in space. After the Hamiltonian was obtained, a circumference of relative equilibria points was found. The original system was subsequently reduced to another system with two degrees of freedom, periodic in the time, where there is now a single point of equilibrium. Linear and parametric stability were discussed in this simplified model of the three-body problem.

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Karine Santos. 2025-03-17. Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution. https://arxiv.org/abs/2501.03517

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