Horseshoe Map

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A discrete map that generates chaotic dynamics, where orbits are repeatedly stretched and folded between horizontal and vertical strips.

Application Value

This concept is essential for understanding motion characteristics in orbital design and control, and plays a vital role in mission success.

Minimum Norm Solution
Rigid Body Dynamics
Variable-Size Design Space, VSDS
Analytical Gradient

References

Ross 等 - 2022 - Dynamical systems, the three-body problem, and space mission design