Time-Dependent Density Wave Theory for Co-orbital Satellites

Computer Science – Sound

Scientific paper

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Scientific paper

The standard theory of density waves in planetary rings assumes that the orbit of the perturbing satellite is on a fixed orbit. However, the co-orbital satellites, Janus and Epimetheus, trade orbits every four years. Cassini images of Saturn's rings record the time evolution of the density waves excited by these satellites. Ticareno et al. (Ap. J. 651: L65-L68, 2006) attempted to model the observations by assuming the steady-state density waves shift locations in the rings instantaneously when the co-orbital satellites trade orbits. They found that certain wave-like features are observed in the evanescent region of the wave that were not predicted by the steady state theory. We will present the results of a new time-dependent density wave theory that can model the perturbations by the co-orbital satellites during their orbital exchange. Similar to our previous result for temporally modulated density waves excited by the satellite, Pandora (Stewart and Sremcevic, DDA 2008), we find that the effective sound velocity in the wave plays an important role in propagating the time-dependent signal in the wave train. Comparisons with Cassini observations as well as predictions for the next co-orbital exchange event in January 2010 will be presented.
This research was supported by NASA's Outer Planets Research Program.

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