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High-order resonances in the restricted three-body problem


This paper consists in analyzing very simple resonance models for the j+i/j (i=2, 3, 4) resonance cases by averaging, truncating and scaling the restricted three body problem. The phase space, the equilibria, the critical areas and the probability of capture are analytically calculated for each case.

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Lemaître, A. High-order resonances in the restricted three-body problem. Celestial Mechanics 32, 109–126 (1984).

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  • Phase Space
  • Critical Area
  • Body Problem
  • Resonance Model
  • Resonance Case