New orbital elements for Saturn's satellites

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Orbital Elements, Planetary Orbits, Saturn Satellites, Correlation Coefficients

Scientific paper

The orbital elements of Mimas, Enceladus, Tethys, Dione, Rhea, and Titan are calculated on the basis of 28,500 measurements from the period 1682-1981 and listed in a table. Measurements of Hyperion's complex motion are included in the calculation formula but given less weight, so that the inadequacies of the relatively crude theory of its motion employed (Struve, 1898) have only a minimal effect on the results for the other satellites. The poor quality of about 6 percent of the measurements is attributed to misprints rather than observational errors. The distribution of the correlation coefficients from the system correlation matrix is shown in a table. No linear pairwise correlation dependence is found among the parameters determined. The rms errors of the elements are found to be significantly better than those of Kozai (1976).

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