Lagrange's planetary equations with time-dependent secular perturbations
Earth and Planetary Astrophysics
2024-05-29 v1 Astrophysics of Galaxies
General Relativity and Quantum Cosmology
Classical Physics
Abstract
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.
Cite
@article{arxiv.2405.18140,
title = {Lagrange's planetary equations with time-dependent secular perturbations},
author = {Barnabás Deme},
journal= {arXiv preprint arXiv:2405.18140},
year = {2024}
}
Comments
7 pages (without appendix and reference list), 5 figures