Numerical theory of the motion of Phoebe, the ninth satellite of Saturn

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Phoebe, Planetary Orbits, Mathematical Models, Mean Square Values

Scientific paper

The motion of Phoebe is investigated numerically on the basis of the collected observational data from the period 1898-1981. A model is developed, errors in numerical integration are evaluated, and a first set of corrected orbital parameters are calculated using only the more recent observations. These are then employed in a Gauss-Newton scheme to incorporate the entire body of observations, and the resulting parameters are found to fit the observations with a mean-square error of 1.5 arcsec.

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