Ok so take r' to be r dot..
i have E = 1/2m (r' ^2 + h^2/r^2) - A/r = E
Energy equation for central force (inverse square)
and r = l/(1+ecostheta) where l is the latus rectum..
need to derive the expression linking E and e i.e. E= A^2/2mh^2 (e^2-1) but cant seem to get there...
any help would be great..
The Attempt at a Solution
well for a start, when you differentiate r, the result includes a term theta dot -- where does that go?!