具有随时间变化的世俗扰动的拉格朗日行星方程

arXiv - PHYS - Classical Physics Pub Date : 2024-05-28 DOI:arxiv-2405.18140

Barnabás Deme

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引用次数: 0

摘要

天体物理系统的长期演化是由与快角无关的哈密顿驱动的。由于这个哈密顿可能包含与时间有关的显式参数，因此在这类系统中机械能守恒得不到保证。我们推导了半长轴在这些情况下的演变过程。我们分析了两个天体物理学上有趣的例子，即谐波扰动和四极扰动。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lagrange's planetary equations with time-dependent secular perturbations

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.

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arXiv - PHYS - Classical Physics

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