Modeling issues concerning motion of the Saturnian satellites

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Saturn (Planet), Natural Satellites, Planetary Orbits, Orbit Calculation, Cassini Mission, Digital Simulation, Spherical Harmonics, Tides

Scientific paper

A study is performed to find the minimum order model that can achieve an accuracy of 1 km in the dynamic propagation of the Saturnian satellites over a period of four yr. The need for such an investigation has risen out of recent advances in the accuracy of orbit determination techniques that are to be used in the Cassini mission. Effects such as Saturn's rings, tides on Saturn and the satellites, gravity harmonics on Saturn and the satellites, other solar system bodies, small Saturnian satellites, and coupling of the satellites' attitude and translational dynamics are considered. A conservative assessment of the effects that must be modeled is obtained with numerical simulation using a fixed set of initial conditions for the satellites. This simple method is shown to exaggerate the impact of a new modeling effect, so a second method that adjusts the initial conditions in order to minimize the perturbation of the new effect is employed. The equivalence of the rings and the zonal harmonics, which provides a means of obtaining the ring mass by observation of the satellite dynamics, is discussed.

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