Before the age of relativity, some people calculated that light would be deflected by the sun in a classical model in which light consists of particles of tiny mass \(m\) moving at speed (c\), pulled by the sun's Newtonian gravity. Find in that case the approximate deflection of a light beam in terms of any or all of m,c,G,M, the sun's mass, and \(R\), the distance of closest approach of the light beam from the sun's center. Compare your result with the actual deflection of light in the Schwarzschild spacetime.