On the polar moment of inertia of a compressible body

Details On the polar moment of inertia of a compressible body On the polar moment of inertia of a compressible body

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..22...57m&link_type=abstract

(Symposium on Star Catalogues, Positional Astronomy and Celestial Mechanics, Washington, D.C., Nov. 30, 1978.) Celestial Mechani

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Gas Giant Planets, Moments Of Inertia, Planetary Rotation, Polar Regions, Compressibility Effects, Density Distribution, Euler Equations Of Motion, Gravitational Fields, Planetary Mass, Planetary Structure

Scientific paper

The rotational dynamics of a body are governed by the values of its principle moments of inertia. These quantities are not directly observable, but they are related to the harmonic coefficients of the external gravity field and to the density distribution within the body, both of which can be inferred from appropriate observations. It is shown that, for the particular case of a spherical planet whose density varies as a power of the radial distance, the principal moment of inertia has an elegantly simple form. Application of this simplified case to the Jovian planets suggests that the density profiles outside the central core are approximately linear, with the apparent exception of Neptune.

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