Plummer model: Difference between revisions

Revision as of 11:12, 17 June 2018

Revision as of 11:15, 17 June 2018

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The distribution function is

:<math> f(\vec{x},\vec{v}) = \frac{24\sqrt{2}}{7\pi^3} \frac{N a^2}{G^5 M^5} |(-E(\vec{x},\vec{v})|)^{7/2}\,,</math>

if <math>E<0</math> and <math> f(\vec{x},\vec{v}) = 0</math> otherwise, where <math>E(\vec{x},\vec{v})=\frac12 v^2 + \Phi_P(r)</math> is the [[specific energy]].

== Properties ==