Abstract

This article studies the development of new effective methods for designing spacecraft (SC) trajectories for missions using the generalization of the Rutherford formula for the scattering of charged particles proposed by the authors for the case of gravitational scattering. For controlled gravity assist maneuvers of SC, a rule is formulated that makes it possible to purposefully create beams of trajectories with specified properties as a result of a gravity assist maneuver. Modifications of this rule are presented that make it possible to implement efficient and reliable beam recurrent procedures for searching for the ballistic scenarios of interplanetary flights. Of particular importance is the synthesis of sequences of gravity assist maneuvers that provide the given change in the asymptotic velocity of the SC relative to the target planet.

中文翻译：

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卢瑟福公式的推广与重力辅助机动轨迹的合成

摘要

本文利用作者针对重力散射情况提出的带电粒子散射卢瑟福公式的推广，研究了设计任务航天器 (SC) 轨迹的新有效方法的开发。对于 SC 的受控重力辅助操纵，制定了一个规则，使得可以通过重力辅助操纵有目的地创建具有指定属性的轨迹束。对该规则的修改提出了使得可以实现有效且可靠的波束循环程序来搜索星际飞行的弹道场景。特别重要的是重力辅助动作序列的综合，这些动作提供了 SC 相对于目标行星的渐近速度的给定变化。