I've been stuck on this problem forever, any help is greatly appreciated. A satellite is in a LEO at h=300km and it is sent to a geosynchronous orbit at 4.224x10^4 km. Calculate velocity at pericenter i.e v_pe
v_pe = (2πa_to)/p_to[2a_to/a_leo -1 ]^(1/2)
The Attempt at a Solution
I ran the numbers several times slowly in all the right units etc and still get a ridiculous number... i.e. a boost velocity of 10^6 power...
do I have the right equation for v_pe?
i used a_to = a_gs + a_leo / 2 where a_gs is the given quantity and a_leo = radius of earth + h
Is that the right set up? please help, thanks.