Oblate spheroidal mass distributions of varying ellipticity

Statistics – Computation

Scientific paper

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Computational Astrophysics, Ellipticity, Galactic Clusters, Mass Distribution, Spheroids, Astronomical Models, Density Distribution, Spatial Distribution

Scientific paper

Many astronomical objects are axisymmetric but have isodensity surfaces whose flatness varies with radius. Consideration is given to mass distributions whose isodensity surfaces are concentric, coaxial oblate spheroids whose ellipticity e is allowed to vary with the semimajor axis a of the spheroids. Formulas are derived for the potential, in the quadrupole approximation, and for the projected surface density.

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