Orbital resonance widths in a uniformly rotating second degree and order gravity field

Details Orbital resonance widths in a uniformly rotating second degree and order gravity field Orbital resonance widths in a uniformly rotating second degree and order gravity field

Apr 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006a%26a...449..821o&link_type=abstract

Astronomy and Astrophysics, Volume 449, Issue 2, April II 2006, pp.821-826

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

Aims.In this work I seek to derive analytical expressions for the widths of mean motion resonances in uniformly rotating second degree and order gravity fields.Methods.A Deprit perturbation series is used to derive Hamiltonians valid close to mean motion resonances. These expressions are reduced to the Hamiltonian of a pendulum through canonical transformations.Results.Analytical expressions for the orbital resonance widths in uniformly rotating second degree and order gravity field are derived and tested against numerical simulations. The widths of these mean motion resonances are independent of the rotation rate and the mass of the central body. The general stability of retrograde orbits are explained by the overlap criteria.

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