A comparison of the theory of the motion of Hyperion with observations made during 1967-1982

Details A comparison of the theory of the motion of Hyperion with observations made during 1967-1982 A comparison of the theory of the motion of Hyperion with observations made during 1967-1982

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...141..151t&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 141, no. 1, Dec. 1984, p. 151-158.

Astronomy and Astrophysics

Astrophysics

19

Celestial Mechanics, Hyperion, Planetary Orbits, Orbit Perturbation, Orbital Elements

Scientific paper

A model of the orbital motion of Hyperion is developed from Woltjer's theory. The orbital model includes the short-period perturbations due to the action of Titan which is assumed to move in a circular orbit. The orbital elements are referred to a standard reference frame B1950.0. The model is fitted to photographic observations from 1967 to 1982, and improved orbital elements are derived. In addition, a new determination is made of the amplitudes of the libration term in the mean longitude, and of the long-period terms in the mean longitude, longitude of pericentre and eccentricity. Several of these amplitudes are found to differ significantly from Woltjer's observationally determined values. From a comparison with Woltjer's solution corrections are made to the mean motion and rate of change of the longitude of pericentre. The theories of Rhea, Dione, Titan and Iapetus are also fitted to observations over the same period, and give a considerably better fit than is found for Hyperion. Hence it is concluded Woltjer's theory of Hyperion is not completely adequate. A brief discussion of possible improvements to the model is given.

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