Consider a particle of mass m at a distance of r from another heavy particle of mass M. If we give it a tangential velocity v then (i) It will fall into M if v(ii) Will move in circle if v= sqrt(GM/r) (iii) Will move in ellipse if sqrt(GM/r)(iv)Will move in parabola if v= sqrt(2GM/r) (v)Will move in hyperbola if v> sqrt(2GM/r)
So planets move in eleptical orbit because at there nearest point to sun there velocity is slightly greater than sqrt(GM/r)
Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi