Hill Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The limiting case of the restricted three-body problem as the mass parameter approaches zero, where an integral of motion exists and periodic orbits organize into one-parameter families. Serves as the theoretical starting point for deriving and classifying fundamental periodic orbit families.

Related Concepts

• Jacobi Constant, JC
• Hill Region
• Poincaré Map
• Stability

References

• Mingotti et al., 2012, Transfers to distant periodic orbits around the Moon via their invariant manifolds
• • Gómez 等 - 2001