Hill's Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A limiting case of the restricted three-body problem, a simplified model for a small body orbiting a large body under the influence of a third body. Hill used this model to study lunar motion and prove the boundedness of the Earth-moon distance.

Application Value

In orbit design and optimization, this concept is used to analyze spacecraft motion characteristics in the cislunar multi-body gravitational field, providing a theoretical basis for low-energy transfer trajectory design.

References

  • Szebehely - 1967 - Theory of orbit the restricted problem of three bodies
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Contributors: ouyangjiahong, Ou Yang Jiahong