Gravitational field of a polytrope of unit index with weak differential rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Gravitational Fields, Jupiter (Planet), Planetary Gravitation, Planetary Rotation, Astronomical Models, Moment Distribution, Planetary Structure, Polytropic Processes

Scientific paper

On the basis of an exact solution of the structure equation for the
differentially rotating polytrope n = 1, expressions are obtained for
the gravitational moments J2, J4, and J6. The gravitational moments of
models of Jupiter with weak differential rotation are calculated.

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