Differential Correction Algorithm
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A core iterative algorithm in trajectory design. It linearizes the nonlinear relationship between control variables and constraint variables via first-order Taylor expansion, yielding a Jacobian matrix mapping, then solves for correction terms through the generalized inverse. Each iteration updates the control variables to progressively satisfy target constraints. Used in this paper to solve periapsis parameters of Earth-Moon transfer trajectories under a high-precision dynamical model.
Application Value
微分修正算法 is orbitdesign中 of core迭代算法, through 一阶泰勒展开和广义逆solve修正量. is solveboundary值problem of foundationmethod.
Related Concepts
- Orbital State Vector
- Coordinate Time
- Hill Frame
- Kepler's Laws
References
- 曹鹏飞 等 - 2022 - 嫦娥五号探测器多圈调相地月转移应急轨道设计与分析