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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.03517 |
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| _version_ | 1866917959347208192 |
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| author | Santos, Karine |
| author_facet | Santos, Karine |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution Santos, Karine Dynamical Systems 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. |
| title | Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2501.03517 |