New Methods of Celestial Mechanics


Author(s): Jan Vrbik

Pp: 79-102 (24)

DOI: 10.2174/978160805187811001010079

* (Excluding Mailing and Handling)


Resonances occur when period of the perturbing force is commensurable with the perturbed body’s orbital motion (2/1 resonance corresponds to a perturbing force whose one cycle is completed in two orbits of the perturbed body; two cycles are completed during one orbit in the case of 1/2 resonance, etc.). They constitute a rather special (and difficult) category of time-dependent perturbations, as we demonstrate using several examples of an asteroid perturbed by Jupiter’s gravitational pull. We start with the 1/1 resonance, which has some unique features, not shared by other resonances.

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