Subarc

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A continuous time segment in bang-bang optimal control where the control variable remains at a fixed extreme value (maximum or minimum thrust). Without state constraints, the fuel-optimal powered descent has at most three subarcs in max-min-max order; with glide slope constraints, more subarcs are possible.

Application Value

In orbital design, analysis, and control, dynamics models are used to predict spacecraft trajectories, with equations of motion solved numerically or analytically. This concept underpins critical mission capabilities including orbital maneuver design, orbit improvement, and formation flying.

References

  • You and Dai, 2022, JGCD, doi:10.2514/1.G006815
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Contributors: ouyangjiahong, Ou Yang Jiahong