I have a decent proof for the direction of the thrust (although this is obvious in the first place of course). But I just cannot mathematically prove if it should be the apogee or perigee. It seems that either is equally as valid.
However, I've seen elsewhere that the rocket should be fired at...
That makes sense. However, at the closest point in the orbit, the object will be going much faster as well...which may or may not compensate for the increase in escape velocity. My problem is essentially that.
Homework Statement
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...
I'm sorry, but I'm not quite sure I understand what you mean, and my google searches haven't helped. Do you think you can try to clarify?
Also, one thing I forgot to mention is that the line between the two masses is a physical rod with length d.
Homework Statement
I will preface this with: I am in a mechanics class and the professor has made it his duty to explain every single concept in the most high level ways possible, often ignoring necessary basics. As a result, I suck at angular momentum (and plenty of other things)
My best...