Dissipative System

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A dynamical system whose phase space volume contracts or expands with time. If the trace of the Jacobian is negative, volume contracts and the system tends toward an attractor.

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

  • Celletti - 2010 - Stability and chaos in celestial mechanics
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Contributors: ouyangjiahong, Ou Yang Jiahong