Corrections to the theory of the orbit of Saturn's satellite Hyperion

Details Corrections to the theory of the orbit of Saturn's satellite Hyperion Corrections to the theory of the orbit of Saturn's satellite Hyperion

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...181..383t&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 181, no. 2, July 1987, p. 383-390.

Computer Science

Numerical Analysis

18

Celestial Mechanics, Hyperion, Orbital Elements, Planetary Orbits, Numerical Analysis, Orbit Perturbation, Root-Mean-Square Errors, Spectrum Analysis, Saturn, Theoretical Studies, Orbits, Satellites, Hyperion, Analysis, Celestial Mechanics, Spectra, Astronomy, Amplitude, Perturbations, Libration, Comparisons, Period, Numerical Methods

Scientific paper

A spectral analysis has been made of the residuals obtained from fitting Woltjer's theory of Hyperion to the numerical integration of Sinclair and Taylor (1985) extended to ±25 yr from epoch. The major correction found was to the phase of the libration argument and is probably due to a slightly inaccurate value of the frequency of this argument. The new theory now includes all perturbations corresponding to an observed displacement of 0.arcsec07 or more at the opposition distance of 8.5 AU. The new amplitudes of the long-period perturbations are in broad agreement with those obtained from recent analytical work by Message. The new theory fitted to observations from 1967 to 1983 gave a root-mean-square residual of 0.arcsec28 compared to 0.arcsec44 for the fit of the old theory given in Taylor (1984) to observations in the same period.

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