Physics
Scientific paper
Feb 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aps..apr.c1032w&link_type=abstract
American Physical Society, APS April Meeting 2010, February 13-16, 2010, abstract #C1.032
Physics
Scientific paper
To solve ring systems without shepherd moons requires some special assumptions. It is assumed that the planet is layered and the layers are oscillating with dark matter waves, which penetrate the planet's surface with a node at the surface. Velocities above the surface are proportional to the reciprocal of the square root of the dark matter density. The wave amplitude is strong enough to produce a ring 1/2 wavelength above the surface of the planet. For a broad ring we use the innermost radius since we say that the whole width of the ring is due to continuous oscillation across the whole ring width. I use very approximate wave velocities in each layer so that the added periods of the layer oscillations is equal to (or twice) the total thickness of the oscillating layers in the planet. The composition of the layers is unknown so the result just gives us order of magnitude values. For Saturn the thickest oscillating layer is approximately 4208 km thick. The assumptions are probably fairly good since from previous work the velocity is probably between 1 and 2 m/s. Gaseous planets often have non-oscillating rocky cores, which radii we also calculate. See abstract 1. )
Wagner Claudia
Wagner Orvin
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