Statistics – Computation
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...221..348m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 221, no. 2, Sept. 1989, p. 348-358. Research supported by SERC.
Statistics
Computation
23
Celestial Mechanics, Computational Astrophysics, Perturbation Theory, Secular Variations, Uranus Satellites, Fourier Analysis, Numerical Integration, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Uranus, Satellites, Astronomy, Theoretical Studies, Celestial Mechanics, Perturbations, Calculations, Frequency, Orbital Elements, Comparisons, Umbriel, Titania, Oberon, Resonance, Numerical Methods, Eccentricity, Inclination, Models
Scientific paper
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.
Fox Kyle
Malhotra Renu
Murray Carl D.
Nicholson Philip D.
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