Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution
Dynamical Systems
2025-03-19 v2
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.
Keywords
Cite
@article{arxiv.2501.03517,
title = {Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution},
author = {Karine Santos},
journal= {arXiv preprint arXiv:2501.03517},
year = {2025}
}