Gravitation

A spherically symmetric gravitational system of particles has a mass density

\(\rho = \left\{ {\matrix{ {{\rho _0}} & {for} & {r \le R} \cr 0 & {for} & {r > R} \cr } } \right.\)

Where \(\rho_0\) is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance \(r(0 < r < \infty)\) from the centre of the system is represented by