Flattening of Two-Layer Models of Rotating Planets

Details Flattening of Two-Layer Models of Rotating Planets Flattening of Two-Layer Models of Rotating Planets

Oct 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010dps....42.4402s&link_type=abstract

American Astronomical Society, DPS meeting #42, #44.02; Bulletin of the American Astronomical Society, Vol. 42, p.1045

Astronomy and Astrophysics

Astronomy

Scientific paper

To a first approximation, most planetary objects consist of a dense core region surrounded by a low-density envelope. The flattening of the core-envelope interface and the surface can reveal important information about internal structure and rotation. The flattening of the internal interface is also important for constraining the dynamics of motions in a liquid core. We determine the flattening of the core-envelope boundary and the surface for constant density layers. The flattening is calculated in two ways. One approach makes use of an exact semi-analytical solution. A second approach is based on the theory of figures valid to third order in the standard smallness parameter. We evaluate the accuracy of the approximate theory of figure solutions by comparing these solutions for first, second, and third order in the smallness parameter with the exact solution. We find that the flattening at the core-envelope interface can be significantly different from that at the planetary surface.

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