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arXiv 1903.09640astro-ph.EP
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行星扁率和solar radiation压力扰动耦合作用动力学的相空间描述

Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

Elisa Maria Alessi, Camilla Colombo, Alessandro Rossi

摘要:

本工作的目的是提供一个分析模型来表征平衡点和相空间与单平均动力学所造成的行星扁率耦合太阳辐射压力扰动。本文根据经典理论导出了一个二维微分系统,并得到了包含半长轴、偏心率和倾角的运动积分的存在性。在单共振假设下,给出了偏心-共振角空间中平衡点的解析表达式,以及相应的线性稳定性。给出了哈密顿公式。该模型被应用考虑,作为例子,地球作为主要的扁球体,和一个简单的工具来可视化的相空间的结构。最后,对该模型的应用和发展提出了一些建议。

英文摘要:

The aim of this work is to provide an analytical model to characterize the equilibrium points and the phase space associated with the singly-averaged dynamics caused by the planetary oblateness coupled with the solar radiation pressure perturbations. A two-dimensional differential system is derived by considering the classical theory, supported by the existence of an integral of motion comprising semi-major axis, eccentricity and inclination. Under the single resonance hypothesis, the analytical expressions for the equilibrium points in the eccentricity-resonant angle space are provided, together with the corresponding linear stability. The Hamiltonian formulation is also given. The model is applied considering, as example, the Earth as major oblate body, and a simple tool to visualize the structure of the phase space is presented. Finally, some considerations on the possible use and development of the proposed model are drawn.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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