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Thanks in advance!

- Thread starter vikasagartha
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Thanks in advance!

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Bandersnatch

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In other words, it doesn't matter what you do around that mass, just where you are.

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That depends on your definition of "optimal". For rockets the optimal point is characterized by the highest velocity:If I trying to find the optimal point for escape in an elliptical orbit, can I just differentiate the standard escape velocity eqn with respect to r?

http://en.wikipedia.org/wiki/Oberth_effect

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You used the wrong expression for orbital velocity.So I tried doing precisely that, I minimized a 'thrust' but the expression I arrive at doesn't look like the perigee....View attachment 68288

A good place to start is the vis-viva equation. Unfortunately, you'll get no joy here if you differentiate the resulting delta V with respect to

You'll need something such as the orbital equation of motion, ##r=\frac{a (1-e^2)}{1-e\cos\theta}##. Now you should get something useful. In particular, you should find that extrema occur at apofocus and perifocus. So now it's just a matter of determining which is best, which is worst.

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