A general theory of motion for the eight major satellites of Saturn. II - Short-period perturbations

Details A general theory of motion for the eight major satellites of Saturn. II - Short-period perturbations A general theory of motion for the eight major satellites of Saturn. II - Short-period perturbations

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...246..619v&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 246, no. 2, June 1991, p. 619-633.

Astronomy and Astrophysics

Astrophysics

22

Celestial Mechanics, Orbit Perturbation, Orbital Elements, Planetary Orbits, Saturn Satellites, Analytic Functions, Orbit Calculation

Scientific paper

A novel determination of the short-period perturbations of the orbital elements of the Saturnian satellites is presented. All short-period terms which give perturbations greater than 0.1 km are computed up to the second order in the disturbing parameters (masses and Saturn's oblateness) and to the sixth degree in eccentricities and inclinations. For all satellites except Hyperion, the method of analytical expansions described in Duriez and Vienne (1991) are used. For Hyperion disturbed by Titan, a numerical analysis is made by examining the Lagrange equations from their multivariable Fourier transform with respect to the three angles (mean synodic longitude, argument of libration, and long-period argument depending on Titan's eccentricity). Several new terms greater than 100 km were found in the elements of Iapetus, and some ones greater than 1000 km in those of Hyperion, which could improve existing theories of these satellites.

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