Continuous Homotopy

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A homotopy path tracking method. Continuously tracks the homotopy path along the tangent direction using pseudo-arclength as the step size. Employs a predict-correct strategy: first predicts the next node along the tangent, then corrects using Newton's method. Handles turning points on the homotopy curve (where the homotopy parameter can increase or decrease), making it more robust than discrete homotopy.

Application Value

This concept provides fundamental support in cislunar space research and mission design. In practical applications, the appropriate analysis method should be selected based on specific mission scenarios and constraints.

References

  • 潘迅和泮斌峰 - 2019 - 基于同伦方法的地月系L2点小推力转移轨道优化
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Contributors: ouyangjiahong, Ou Yang Jiahong