System of equations for the fifth approximation of the theory of figures

Astronomy and Astrophysics – Astronomy

Scientific paper

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Geodesy, Oblate Spheroids, Planetary Gravitation, Planetology, Differential Equations, Earth Planetary Structure

Scientific paper

A system of equations is obtained for the fifth approximation of the
theory of figures for the giant planets. It is shown how these equations
are used to determine the higher gravitational moments of these planets.
The equations are reduced to functions of the generalized and average
radii of a planet.

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