Path Calculation of point mass in gravitational field

Hi,

I am trying to derive a formula for the path taken of a body in a Gravitational Field using Classical Mechanics.

I have attached a pdf file with my derivation so far. Basically I used conservation of energy and conservation of angular momentum to derive a diferential equation describing the motion.


Right now I am stuck. I don't know how to proceed.

Attached Files

gravitation.pdf (198.6 KB)