Eclipse Avoidance Path Constraint

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A path constraint embedded in the differential corrections process that forces transfer trajectories to remain outside the shadows of Earth and Moon. Formulated based on the geometry of occluding-body shadow cones, it is implemented as an integral-type constraint. A Heaviside function activates the constraint when the spacecraft is on the shadowed side, with the integral evaluated via a Riemann sum. This constraint is applied within the multiple-shooting scheme in the ephemeris model and can be extended to limit eclipse duration for broader mission requirements.

Application Value

在设计地月转移方案时，利用该轨道特性可降低任务总速度增量需求。该方法可用于精确修正轨道偏差，提高轨道预报精度。

References

  • Zimovan-Spreen et al. 2022
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Contributors: ouyangjiahong, Ou Yang Jiahong