Lagrange's planetary equations with time-dependent secular perturbations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909212238413824 |
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| author | Deme, Barnabás |
| author_facet | Deme, Barnabás |
| contents | The long-term evolution of astrophysical systems is driven by a Hamiltonian that is independent of the fast angle. As this Hamiltonian may contain explicitly time-dependent parameters, the conservation of mechanical energy is not guaranteed in such systems. We derive how the semi-major axis evolves in these cases. We analyze two astrophysically interesting examples, those of the harmonic and quadrupole perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18140 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrange's planetary equations with time-dependent secular perturbations Deme, Barnabás Earth and Planetary Astrophysics Astrophysics of Galaxies General Relativity and Quantum Cosmology Classical Physics The long-term evolution of astrophysical systems is driven by a Hamiltonian that is independent of the fast angle. As this Hamiltonian may contain explicitly time-dependent parameters, the conservation of mechanical energy is not guaranteed in such systems. We derive how the semi-major axis evolves in these cases. We analyze two astrophysically interesting examples, those of the harmonic and quadrupole perturbations. |
| title | Lagrange's planetary equations with time-dependent secular perturbations |
| topic | Earth and Planetary Astrophysics Astrophysics of Galaxies General Relativity and Quantum Cosmology Classical Physics |
| url | https://arxiv.org/abs/2405.18140 |