Calculation of Dynamical Time and Free Fall time.
※Homogeneous Sphere.

Keyword

Homogeneous Sphere,Newtonian constant of gravitation,Mean Density,Orbital Period,Dynamical Time,Free Fall Time.

Reference

[1]:『ケンブリッジ物理公式ハンドブック』(Graham Woan,堤正義訳).
[2]:『Galactic dynamics 』(James Binney, Scott Tremaine).
[3]:Newtonian constant of gravitation G:『The NIST Reference on Constants, Units, and Uncertainty』.

Remarks

・Dynamical Time=(3*π/(16*G*ρ))^0.5.(Reference[2]).
・Free Fall Time=(3*π/(32*G*ρ))^0.5.(Reference[1]).
・Orbital Period=(3*π/(G*ρ))^0.5.(Reference[2]).

History

・2014/08/06:layout change.
・2009/09/06:Upload.