Effective Potential

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A scalar function obtained by combining gravitational potential and centrifugal potential in the rotating reference frame. Its critical points correspond to the five Lagrange points, and the topology of equipotential curves determines zero-velocity curve shapes and Hill's region connectivity. The paper uses effective potential analysis to study how mass parameters affect manifold structures across different moon systems.

Application Value

This concept plays an important role in trajectory optimization and mission planning applications.

References

  • DOI:10.16804/j.cnki.issn1006-3242.2023.05.009
  • Acta Phys. Sin. 63, 248402 (2014)
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Contributors: ouyangjiahong, Ou Yang Jiahong