|Mar23-10, 06:33 AM||#1|
Orbit Parameters and Energy
1. The problem statement, all variables and given/known data
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..
2. Relevant equations
3. The attempt at a solution
well for a start, when you differentiate r, the result includes a term theta dot -- where does that go?!
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