The intersection of the separatrix in the resonance problem with a slowly varying parameter

Details The intersection of the separatrix in the resonance problem with a slowly varying parameter The intersection of the separatrix in the resonance problem with a slowly varying parameter

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975primm..39q.621n&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 39, July-Aug. 1975, p. 621-632. In Russian.

Physics

Celestial Mechanics, Natural Satellites, Orbit Perturbation, Satellite Orbits, Saturn (Planet), Hamiltonian Functions, Pendulums, Resonance, Spin-Orbit Interactions

Scientific paper

An averaging method is used to study the problem of evolution in a Hamiltonian system with one degree of freedom and a Hamiltonian which depends on 'the slow time'. This model is studied in connection with the evolutionary explanation for the resonances in the satellite system of Saturn. In the course of evolution a point on phase space intersects a separatrix of the unperturbed problem. This problem is illustrated by the motion of a pendulum with slowly varying frequency and a small external moment.

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