An extended ideal resonance problem

Details An extended ideal resonance problem An extended ideal resonance problem

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..203g&link_type=abstract

Celestial Mechanics, vol. 12, Sept. 1975, p. 203-214.

Mathematics

Logic

6

Celestial Mechanics, Libration, Orbit Calculation, Resonance, Algorithms, Canonical Forms, Degrees Of Freedom, Hamiltonian Functions, Perturbation Theory, Topology

Scientific paper

A first order solution for the problem of double libration in orbital mechanics is constructed by a generalization of a procedure used in solving the Ideal Resonance Problem. The solution presents a reference orbit for a Perturbed Resonance Problem if a double libration occurs as a result of perturbations. It is shown that the phase-plane diagram of the Ideal Resonance Problem is topologically equivalent to that of a simple pendulum. Double libration is illustrated by the horseshoe orbits of the Trojan asteroids.

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