A boundary equation for uniformly rotating polytropes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Value Problems, Polytropic Processes, Rotating Bodies, Angular Velocity, Astrophysics, Celestial Mechanics

Scientific paper

A linear approximating equation exists for the boundary of a uniformly
rotating polytrope. The equation in a parameter, eta, permits rapid
calculation of the polytrope radius for any latitude and is accurate for
angular velocities of rotation close to critical rotation. Data in this
paper apply to a polytrope index of 3.0.

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