Restricted Four-Body Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A dynamical model describing the motion of a spacecraft of negligible mass under the gravitational influence of Earth, Moon, and Sun. Compared with the restricted three-body problem, it adds solar gravitational terms for more accurate modeling of solar perturbation during Earth-Moon transfers. The equations of motion are formulated in the Earth-Moon rotating coordinate system with normalized units.

Application Value

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

Related Concepts

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

References

• 彭祺擘和张海联 - 2016 - 载人登月地月转移轨道方案综述