Instantaneous Hill's Boundary

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The boundary of the zero-velocity surface defined by the Hamiltonian function, varying periodically with time under solar gravitational perturbation, used to define equivalent libration points.

Application Value

This analysis method is used to evaluate the long-term stability of spacecraft orbits. In cislunar space missions, where perturbation factors are complex, stability analysis is of great guiding significance for mission orbit design and mission duration prediction.

References

  • Xu et al. - 2013 - On the construction of low-energy cislunar and trans-lunar transfers based on the libration points
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Contributors: ouyangjiahong, Ou Yang Jiahong