Density Distribution;
Differential Form;
Exact Formula;
Cylindrical Column;
Maclaurin Spheroid;
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摘要:
We investigate the angular-momentum distribution in a classical homogeneous Maclaurin spheroid. An exact formula for the distribution as a function of the mass of a cylindrical column in the spheroid is obtained in both integral and differential forms. This expression is used to calculate the angular-velocity distributions in galaxies evolving from initially spheroidal configurations to steady-state configurations with observed density distributions.