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courses:ast301:1 [2024/02/19 01:30] – [3.2 Galaxy clusters] asadcourses:ast301:1 [2024/03/07 01:12] (current) – [4.2 Dynamical timescale] asad
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 The time needed to fall by a distance $R$ is found from the constant-force expression $s=at^2/2$, i. e. the dynamical timescale The time needed to fall by a distance $R$ is found from the constant-force expression $s=at^2/2$, i. e. the dynamical timescale
  
-$$ \tau_{in} = \sqrt{\frac{R}{a}} = \sqrt{R^3}{GM} $$+$$ \tau_{in} = \sqrt{\frac{R}{a}} = \sqrt{\frac{R^3}{GM}} $$
  
 where density $\rho=M/R^3$ giving rise to where density $\rho=M/R^3$ giving rise to
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