Region of Prevalence

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In the bicircular restricted four-body problem, regions where different simplified models accurately describe the real dynamic behavior. The Sun-Earth model is more accurate during the departure and coasting phases of Earth-Moon transfer, while the Earth-Moon model is more accurate in the arrival phase. This layered property is the physical basis for the patched three-body method's feasibility.

Application Value

This term在cislunar space missions中has important application value. In orbit design, it can be used foroptimizing transfer trajectories, reducing mission fuel consumption. In attitude control and dynamics analysis, it helps understandthe motion characteristics of spacecraft in complex gravitational fields, providing theoretical support for mission planning. In navigation and orbit determination, methods based on this termcan improve orbit prediction accuracy, supporting the development of autonomous navigation algorithms.

  • Periodicity Conditions in Relative Orbital Motion
  • Helix Formation
  • Energy Dissipation Method
  • Unstable Manifold

References

  • Campana 等 - 2024 - Low-energy earth–moon transfers via theory of functional connections and homotopy
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong