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Analytical and numerical approaches to study the gravitational capture in the four-body problem

机译:研究四体问题中引力俘获的解析和数值方法

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The objective of this paper is to study the problem of gravitational capture in the bi-circular restricted four-body problem. A gravitational capture occurs when a massless particle changes its two-body energy around one celestial body from positive to negative without the use of non-gravitational forces. It is mainly studied the effect of the fourth-body included in the dynamics. The Earth-Moon system with the inclusion of the Sun is used for the numerical simulations. The results show the savings obtained in this more realistic model when compared with the more traditional restricted three-body problem model. It is clear that large savings are obtained thanks to the effect of the Sun, if a proper geometry is used for the maneuver.
机译:本文的目的是研究双圆约束四体问题中的重力俘获问题。当无质量粒子在不使用非重力的情况下将一个天体周围的两体能量从正变为负时,就会发生重力捕获。主要研究动力学中包含的第四体的作用。数值模拟使用了包含太阳的Earth-Moon系统。结果表明,与更传统的受限三体问题模型相比,在这种更为现实的模型中节省了资金。显然,如果使用适当的几何形状进行机动,则由于太阳的作用,可以节省大量资金。

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