Asteroid motion near the 3:1 resonance
A mapping model is constructed to describe asteroid motion near the 3:1 mean motion resonance with Jupiter, in the plane. The topology of the phase space of this mapping coincides with that of the real system, which is considered to be the elliptic restricted three-body problem with the Sun and Jupiter as primaries. This model is valid for all values of the eccentricity. This is achieved by the introduction of a correcting term to the averaged Hamiltonian which is valid for small values of the eccentricity.
scientific article; zbMATH DE number 464960
scientific article