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(i)Wit v1 being the speed at the perihelion (position of closest approach, distance a(1-e) and v2 the speed at the aphelion (distance a(1+e)) and taking into account conservation of angular momentum since there is no torque acting why doe v1*a(1-e)=v2*a(1+e)?

(ii) after accepting the previous equation got one other problem after determining v1 (V1^2=GM[2/(a(1-e)) + D] where D=2E/GMm) and similarly for v2 my notes go on to say we can now form 2 equations for [v1/v2]^2 and set them equal and with a bit of manipulation gives D=-1/a hence showing a=-GMm/2E. How do i go about this?

Dont feel i can move on til other parts of the course till i gain a firm understanding of this. thanx