Rotating Stratified Heterogeneous Oblate Spheroid in Newtonian Physics

Details Rotating Stratified Heterogeneous Oblate Spheroid in Newtonian Physics Rotating Stratified Heterogeneous Oblate Spheroid in Newtonian Physics

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..81..299e&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 81, Issue 4, p. 299-312 (2001).

Astronomy and Astrophysics

Astronomy

Euler Equations, Rotating Spheroids, Earth'S Inner And Outer Cores

Scientific paper

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

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