利用Breakwell间距比法制定行星际探测中途修正策略

详细介绍了制定行星际探测中途修正策略的Breakwell间距比法,给出了在燃料最优条件下,终端误差精度和制导能力与中途修正设计次数和时刻之间的解析关系。一般而言,终端误差精度每提高3倍,修正次数就需要增加1次,制导能力每提升3倍,修正次数就可以减少1次。在具体使用上,应首先根据精度要求和制导能力确定最后一次修正时刻,然后向前递推,使得前一次修正后误差传播量与后一次修正后误差传播量成公比为1/3的等比数列,以此确定其余修正时刻,从而保证在达到终端精度前提下,整体燃料消耗最少。以火星探测为例,给出探测器于2018年5月出发12月达到火星的算例,仿真结果表明了理论分析的正确性。

Midcourse Correction Strategy of Interplanetary Exploration with Breakwell Spacing Ratio Method

This paper introduces Breakwell spacing ratio method in detail and derives an analytical expression between terminal error accuracy, guidance ability and the number and time of midcourse corrections. Generally speaking, one more correction is necessary for every 3 times accuracy increasing, while every 3 times improving on guidance ability can reduce one correction. In specific applications, the last correction time should be determined first according to the terminal error accuracy and guidance ability, then other correction time can be determined so that the error propagation after each correction is a geometric progression with ratio 1/3. A simulation of a Mars exploration from May 2018 to December 2018 is taken as an example to verify the validity of theoretical analysis.