Backward Integration Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A trajectory computation method that starts from the terminal state of a known optimal solution and integrates backward in time to reduce the departure orbit radius. Exploiting the similarity between optimal control and tangential thrust control in the escape phase, backward integration produces a spiral trajectory with decreasing orbital radius. Combined with intermediate circular orbit velocity corrections, it progressively reduces the departure orbit from a large circular orbit to geostationary orbit.

Application Value

反向积分法从终点向前积分求解轨道问题，是边值问题求解的常用方法之一。

References

  • Du et al. 2024
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Contributors: ouyangjiahong, Ou Yang Jiahong