Physics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...45..115e&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 45, May 1989, p. 115-126.
Physics
Jupiter (Planet), Planetary Rotation, Saturn (Planet), Approximation, Differential Equations, Distortion, Equipotentials, Numerical Integration
Scientific paper
The aim of this paper is to investigate numerical solutions of third-order Clairaut theory, under the boundary conditions given in El Shaarawy (1974). This solution gives an explicit form of the shape and rotational distortion, due to third-order sectorial harmonic terms, of the equipotential surfaces of the two rapidly rotating planets, Jupiter and Saturn, at the different levels inside these planets owing to a certain internal density distribution model (Zharkov, 1975). Each of them is considered as a heterogeneous self-gravitating fluid mass in hydrostatic equilibrium.
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