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Simple solution to optimal cotangential transfer between coplanar elliptic orbits

机译:共面椭圆轨道之间最佳切向转移的简单解决方案

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摘要

The aim of this paper is to propose a semi-analytical method for the analysis of a two-impulse transfer between two coplanar elliptic orbits, assuming each maneuver to change the magnitude of the spacecraft velocity only, without affecting its direction. Using a recent mathematical model that describes the spacecraft dynamics in a compact analytical form within a two-dimensional multiple-impulse scenario, this work proposes an algorithm to calculate the global minimum velocity variation required to complete the transfer. The characteristics of the optimal transfer trajectory, which is tangent to both the parking and the target orbit, are obtained as a function of a single variable, which defines the angular position of the first maneuver. This feature allows the designer to analyze the cotangential transfer in a parametric form, thus obtaining a trade-off solution between the total velocity variation and the desired characteristics of the transfer orbit.
机译:本文的目的是提出一种半解析方法,用于分析两个共面椭圆形轨道之间的双脉冲传输,假设每次操作仅改变航天器速度的大小,而不会影响其方向。使用最新的数学模型,该模型以紧凑的分析形式在二维多重脉冲情况下描述了航天器的动力学,这项工作提出了一种算法来计算完成转移所需的全局最小速度变化。与停车位和目标轨道都相切的最佳传递轨迹的特性是根据单个变量的函数获得的,该变量定义了第一机动的角位置。该功能使设计人员能够以参数形式分析切向传递,从而在总速度变化与传递轨道的所需特性之间取得权衡解决方案。

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