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用于研究三体摄动的平均模型与完整模型的比较。

A comparison of averaged and full models to study the third-body perturbation.

作者信息

Solórzano Carlos Renato Huaura, Prado Antonio Fernando Bertachini de Almeida

机构信息

Federal University of ABC (UFABC), Rua Santa Adélia, 166 Bairro Bangu, 09.210-170 Santo André, SP, Brazil.

出版信息

ScientificWorldJournal. 2013 Nov 3;2013:136528. doi: 10.1155/2013/136528. eCollection 2013.

DOI:10.1155/2013/136528
PMID:24319348
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3847294/
Abstract

The effects of a third-body travelling in a circular orbit around a main body on a massless satellite that is orbiting the same main body are studied under two averaged models, single and double, where expansions of the disturbing function are made, and the full restricted circular three-body problem. The goal is to compare the behavior of these two averaged models against the full problem for long-term effects, in order to have some knowledge of their differences. The single averaged model eliminates the terms due to the short period of the spacecraft. The double average is taken over the mean motion of the satellite and the mean motion of the disturbing body, so removing both short period terms. As an example of the methods, an artificial satellite around the Earth perturbed by the Moon is used. A detailed study of the effects of different initial conditions in the orbit of the spacecraft is made.

摘要

在单平均模型和双平均模型这两种平均模型下，研究了在围绕主天体做圆周轨道运动的第三体对围绕同一主天体运行的无质量卫星的影响，这两种模型对摄动函数进行了展开，还研究了完整的限制性圆三体问题。目的是比较这两种平均模型相对于完整问题的长期效应行为，以便了解它们之间的差异。单平均模型消除了由于航天器短周期产生的项。双平均是对卫星的平均运动和摄动体的平均运动进行的，这样就消除了两个短周期项。作为这些方法的一个例子，使用了一颗受月球扰动的绕地球运行的人造卫星。对航天器轨道中不同初始条件的影响进行了详细研究。

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