Rotating Heterogeneous Oblate Spheroids in Newtonian Physics

Details Rotating Heterogeneous Oblate Spheroids in Newtonian Physics Rotating Heterogeneous Oblate Spheroids in Newtonian Physics

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aps..tsf.b4002e&link_type=abstract

American Physical Society, Joint Fall Meetings of the Texas Sections of the APS, and AAPT, Zone 13 of the SPS, and the National

Physics

Scientific paper

By solving the Euler hydrodynamical equations we have obtained closed form solutions for the angular velocities and pressures of three stratified non-confocal heterogeneous oblate spheroids. Particular and limiting solutions cases, such as spheroids with N layers, stratified spheroids with the same eccentricities, as well as confocal spheroids are also written down. As an application, we have numerically estimated planet Earth's outer and inner cores' ellipticities to be 1/413.318 and 1/424.616, respectively. These Earth's ellipticities values are in good agreement with those found in the literature.

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