Libration Point Orbits and Applications Dynamical Substitutes of the Libration Points for Simplified Solar System Models
Libration Point Orbits and Applications Dynamical Substitutes of the Libration Points for Simplified Solar System Models
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振动点轨道和应用 简化太阳系模型的振动点的动力学替代
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通讯作者：
J. Mondelo
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作者：
G. Gómez;M. W. Lo;J. Masdemont;Omez;J. Mondelo
本文的目的是开发一种方法来生成简化的模型，适合于分析的小粒子，如航天器或小行星，在太阳系中的运动。该过程是基于应用精细傅立叶分析方法的时间依赖的功能，出现在微分方程的问题。所得到的模型方程是限制性三体问题的准周期摄动，它明确地依赖于太阳系的固有频率。这些新的模型的一些例子，并与其他文献中发现的。对于其中两个新的模型，接近地月系统，我们计算了共线天平动点的动力学替代。
The purpose of this paper is to develop a methodology to generate simplified models suitable for the analysis of the motion of a small particle, such as a spacecraft or an asteroid, in the Solar System. The procedure is based on applying refined Fourier analysis methods to the time–dependent functions that appear in the differential equations of the problem. The equations of the models obtained are quasi–periodic perturbations of the Restricted Three Body Problem that depend explicitly on natural frequencies of the Solar System. Some examples of these new models are given and compared with other ones found in the literature. For two of these new models, close to the Earth–Moon system, we have computed the dynamical substitutes of the collinear libration points.