Nonlinear study of the Mimas 5:3 density wave

Details Nonlinear study of the Mimas 5:3 density wave Nonlinear study of the Mimas 5:3 density wave

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986icar...67..211l&link_type=abstract

Icarus (ISSN 0019-1035), vol. 67, Aug. 1986, p. 211-223. Research supported by the Comite National Francais d'Astronomie.

Astronomy and Astrophysics

Astronomy

23

Astronomical Photometry, Density Wave Model, Mimas, Polarimetry, Body Kinematics, Heuristic Methods, Nonlinear Systems, Torque, Voyager 2 Spacecraft

Scientific paper

A streamline formalism is used to investigate the Mimas 5:3 density wave profile observed with the photopolarimeter experiment on board Voyager 2. Models are developed for the mean velocity components in a rotating frame and an expression is defined for the surface density. Heuristic calculations set the eccentricity at 1/50,000 and show that the radial wavelength has a value of at least pi/2. The derived values are used to define the background optical depth, the degree of nonlinearity of the wave and the integrated wavenumber. The data are found adequate for calculating the gravitational torque imposed on the wave by Mimas to an accuracy of an order of magnitude. The low accuracy is sufficient to show that nonlinear effects do not decrease the torque to a value below that projected from linearity. The calculations therefore do not solve the time scale problem of the Saturn satellites.

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