Title:              Secular perturbations of the Uranian satellites -
                    Theory and practice
Authors:            MALHOTRA, R.; NICHOLSON, P. D.; FOX, K.; MURRAY, C.
                    D.
Affiliation:        AB(Cornell University, Ithaca, NY) AC(EASAMS, Ltd.,
                    Camberley, England) AD(Queen Mary College, London,
                    England)
Journal:            Astronomy and Astrophysics (ISSN 0004-6361), vol.
                    221, no. 2, Sept. 1989, p. 348-358. Research
                    supported by SERC.
Publication Date:   09/1989
Origin:             STI
Category:           Astronomy
NASA/STI Keywords:  CELESTIAL MECHANICS, COMPUTATIONAL ASTROPHYSICS,
                    PERTURBATION THEORY, SECULAR VARIATIONS, URANUS
                    SATELLITES, FOURIER ANALYSIS, NUMERICAL INTEGRATION,
                    ORBITAL MECHANICS, ORBITAL RESONANCES (CELESTIAL
                    MECHANICS)
Bibliographic Code: 1989A&A...221..348M

Abstract

A simple revised secular perturbation theory which incorporates the averaged secular effect of first-order near-resonances is derived. By including the effects of these near-resonances, the largest error in the secular frequencies is reduced from 16 percent to less than 3 percent. It is concluded that the revised secular perturbation theory is adequate for the quantitative modeling of the long-term perturbations in the Uranian satellite system. If incorporated within the general theory of Laskar (1986), this theory would lead to completely analytic theory.

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