Richardson Third-Order Analytical Approximation
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A third-order analytical approximation for Halo orbits proposed by Richardson in 1980. By expanding the nonlinear equations of motion near collinear libration points to third order, an analytical expression for Halo orbits is obtained, providing a rapid initial estimate. Combined with differential correction, high-precision numerical solutions can be obtained. This is the standard method for computing Halo orbits.
Application Value
A third-order analytical approximation for Halo orbits proposed by Richardson in 1980. By expanding the nonlinear equations of motion near collinear libration points to third order, an analytical expression for Halo orbits is obtained, providing a rapid initial estimate. Combined with differential correction, high-precision numerical solutions can be obtained. This is the standard method for computing Halo orbits.
Related Concepts
- Time-Varying System
- Lipschitz Condition
- Variable-Time Targeting
- Return Corridor
References
- 基于三体Lambert算法的平动点交会轨道设计