(la) Show that the gravitational potential energy of a spherically symmetrical elliptical galaxy with mass Mg and radius
Posted: Fri Apr 29, 2022 11:01 am
(la) Show that the gravitational potential energy of a spherically symmetrical elliptical galaxy with mass Mg and radius Rg can be written 3 GM U = 5 RG (8 marks] Note any approximations used. (1b) Using the virial theorem and treating the galaxy as a collection of identical stars with a characteristic radial velocity dispersion op, show that the virial theorem implies that o, is related to the mass and radius of the galaxy by [8 marks] GMG 5RG