Poincaré Map

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A dimension-reduction technique for studying high-dimensional dynamical systems through intersections of a section with the phase flow. Transforms continuous orbit problems into discrete maps, facilitating analysis of periodic orbits and invariant tori.

Related Concepts

• Section-Forced Refinement
• PS Section
• Jacobi Constant, JC
• Hill Region

References

• Gómez et al., 2001, Ch.2,3
• Perozzi and Ferraz-Mello, 2010, Space manifold dynamics
• Parker and Anderson, 2014, Low-energy lunar trajectory design
• Meyer and Offin, 2017
• Szebehely, 1967, Theory of orbits: the restricted problem of three bodies