The gravitational quadrupole of a planet

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth (Planet), Earth Gravitation, Lunar Gravitation, Mars (Planet), Planetary Gravitation, Quadrupoles, Venus (Planet), Angular Velocity, Flattening, Moments Of Inertia, Spherical Harmonics

Scientific paper

The admissible range of variation in the angle psi between the gravitational-quadrupole axes of a planet corresponds to certain relationships between the planet's principal moments of inertia, its second-order Stokes constants, its polar and equatorial flattening (alpha, alpha prime), and its rotational angular velocity. For a slowly rotating planet, alpha is greater than alpha prime, which is equal to or greater than zero. The angle psi is calculated for the earth, Mars, the moon, and Venus, and alpha is estimated for Venus.

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