(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rocket is in elliptic orbit about the earth. To put it into escape

velocity, its engine is fired briefly, changing the rocket’s velocity by

deltaV . Where in the orbit, and in what direction, should the firing occur

to attain escape with a minimum value of deltav

2. Relevant equations

E=-c/A

Vescape=sqrt(2GM/r)

3. The attempt at a solution

I honestly have not been able to get anything meaningful.

I attempted to set kinetic and potential energies equal, as that's when the orbit becomes parabolic and escapes, but I have not really been able to glean any information about where the rockets should be fired.

It's quite obvious to me that it should be one of the two end points. But the relative interplay between K and U is something I can't quite prove.

Any help would be appreciated.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Location of minimum change in velocity for orbit escape

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