Equilibrium Region

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Conley's term for the 'neck' region near a collinear Lagrange point where the Hill's region develops a narrow connecting passage when the Jacobi constant is slightly above the critical value. Orbital dynamics in this region are accurately described by the linearized equations; by Moser's generalization of Lyapunov's theorem, all qualitative results carry over to the full nonlinear equations. The equilibrium region is the central geometric object in Conley's orbit classification theory.

Application Value

equilibriumregion is Hill region中雅可比constant略high于临界值When appear of 狭窄连通通道, 动力学由线性化equation精确刻画. is Conley orbit分类theory of core几何对象.

  • Orbital State Vector
  • Coordinate Time
  • Hill Frame
  • Kepler's Laws

References

  • Conley - 1968 - Low energy transit orbits in restricted 3-body problem
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