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A Generalization of the Lagrangian Points: Studies of Resonance for Highly Eccentric Orbits
2004
Astronomical Journal
We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbits with Jacobi constant close to 3 in the restricted circular planar three-body problem where the secondary and primary masses have mass ratio mu << 1. We use this framework to explore mean-motion resonances between the test particle and the secondary mass. This approach leads to (i) a redefinition of resonance orders to reflect the importance of interactions at periapse; (ii) a pendulum-like
doi:10.1086/423214
fatcat:myf2olzbqfdmhjnumrdlfeirza