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Plummer model : ウィキペディア英語版
Plummer model
The Plummer model or Plummer sphere is a density law that was first used by H. C. Plummer to fit observations of globular clusters.〔Plummer, H. C. (1911), (On the problem of distribution in globular star clusters ), ''Mon. Not. R. Astron. Soc.'' 71, 460〕 It is now often used as toy model in N-body simulations of stellar systems.
== Description of the model ==

The Plummer 3-dimensional density profile is given by
:\rho_P(r) = \bigg(\frac\bigg)\bigg(1+\frac\bigg)^}\,,
where ''M'' is the total mass of the cluster, and ''a'' is the Plummer radius, a scale parameter which sets the size of the cluster core. The corresponding potential is
: \Phi_P(r) = -\frac{\sqrt{r^2+a^2}}\,,
where ''G'' is Newton's gravitational constant.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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