Potential Function

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In the rotating frame of the CR3BP, the scalar function U = G(m_E/r_E + m_M/r_M) + ω²(x² + y²)/2 that describes the combined effect of gravitational and centrifugal forces on a spacecraft. The gradient of U gives the effective acceleration: the first term is the Newtonian gravitational potential of the two primaries, and the second is the centrifugal potential introduced by the rotating frame. The zero-velocity surfaces (Hill surfaces) of the potential function determine the accessible region for a spacecraft at a given energy level.

Application Value

[Translation needed for: 函数形式的分析是理解动力学系统行为的有效工具。...]

References

  • 地月空间航天器绕飞接近跟踪控制
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Contributors: ouyangjiahong, Ou Yang Jiahong