General formulas for three-body resonances.

Details General formulas for three-body resonances. General formulas for three-body resonances.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..125a&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 125 - 139

Physics

3

Three-Body Problem: Resonances, Jupiter Satellites: Resonances, Uranus Satellites: Resonances

Scientific paper

Analytic formulas are derived for the strengths and libration/circulation characteristics of resonances whose critical arguments take the form θ = qλ1 - (p+q)λ2+pλ3, where p and q are integers and λ1, λ2, and λ3 are the mean longitudes of any three gravitationally interacting bodies revolving in coplanar orbits about the same primary. The formulas extend and generalize earlier results published by several authors on Laplacian resonances in the satellite systems of Jupiter and Uranus.

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