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Theγ= 1 2 case (Σ∝R −1), for which 32 c =GM(R)/R=GM 0/R0 =3 2 0 and1=3 2 0/z, is the scale- free Mestel disk (see Sect

Theγ=1 case corresponds to the point massM 0 at the center, the results are simply the Kepler rotation curve,3 2 c =GM 0/Rand the inverse square force1=GM 0/z2

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Potentials of axisymmetric razor-thin disks

physics.class-ph · 2026-04-07 · unverdicted · novelty 7.0

Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.

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  • Potentials of axisymmetric razor-thin disks physics.class-ph · 2026-04-07 · unverdicted · none · ref 18

    Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.