Equatorial Bulge - Mathematical Expression

Mathematical Expression

The flattening coefficient for the equilibrium configuration of a self-gravitating spheroid, composed of uniform density incompressible fluid, rotating steadily about some fixed axis, for a small amount of flattening, is approximated by:

where and are respectively the equatorial and polar radius, is the mean radius, is the angular velocity, is the rotation period, is the universal gravitational constant, is the total body mass, and is the body density.

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