Statistics – Computation
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...221..359h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 221, no. 2, Sept. 1989, p. 359-363.
Statistics
Computation
6
Hyperion, Iapetus, Numerical Integration, Orbital Mechanics, Titan, Astrometry, Computational Astrophysics, Least Squares Method, Saturn (Planet), Planets, Satellites, Orbits, Titan, Hyperion, Iapetus, Parameters, Numerical Methods, Astronomy, Celestial Mechanics, Saturn, Techniques, Earth-Based Observations
Scientific paper
The orbits of Titan, Hyperion and Iapetus have been generated by numerical integration and fitted to micrometric observations made in the period of 1874-1923. The least-squares fitting process yields a good determination of the mass ratio Titan/Saturn (2.36651 + or - 0.00028) x 10 to the -4th. The numerical integration has an accurate scale, determined by the value adopted for the mass of Saturn, and so it is a useful means of showing scale errors of the observations. The observations of the angular separation from Saturn were found to be particularly prone to error, being systematically large by about 0.5 arcsec.
Harper Devin
Sinclair A. T.
Taylor Brian D.
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