A 6x6 matrix describing how perturbations propagate from initial to terminal state in a dynamical system. Its four sub-blocks represent partial derivative mappings for position-to-position (A), velocity-to-position (B), position-to-velocity (C), and velocity-to-velocity (D). In differential correction, the B and D sub-blocks provide sensitivities of terminal position and velocity to initial velocity, serving as the core mathematical tool for correction computation. The STM also yields the monodromy matrix for invariant manifold computation
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
Application Value
Space traffic management coordinates space asset operations.
Related Concepts
- Variable Structure Sliding Mode Control
- Pontryagin Minimum Principle
- Error Function
References
- 彭坤 等 - 2016 - 基于不变流形的地月L2点Halo轨道转移轨道设计
