Can anyone solve this puzzle for me - a mass m in space with a constant velocity C heads toward a circular mass M such that if not disturbed it would pass by M at a distance of 2 of M's radiuses. However, the mass m experiences a second velocity Ve towards the center of M; the magnitude of this V is given by k(d^-1/2) where d is the radial distance to M's center. m starts its journey at infinity and ends up overright the center of M. What is the equation of m's path? I'm not sure whether or not this is clear. A diagram would be needed ideally.