Improved Bi-Circular Model
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A dynamical approximation model adapted from Koon's bi-circular model, using the Earth-Moon barycenter as the origin of the Earth-Moon synodic frame. It decomposes the Sun-Earth-Moon four-body motion into two coupled CR3BP systems: the Sun with the Earth-Moon barycenter forms the Sun-Earth CR3BP, and the Earth with the Moon forms the Earth-Moon CR3BP. The initial state is determined by the initial phase angle. It improves modeling accuracy while maintaining computational efficiency compared to direct four-body numerical integration.
Application Value
This concept has important application value in cislunar space research and mission design.
Related Concepts
- Variable Structure Sliding Mode Control
- Pontryagin Minimum Principle
- Error Function
References
- 利用平动点流形设计地月转移轨道的研究