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Oct 26, 2015 at 18:33 comment added Puffin One last thought that has just come back to me: the example I have desribed will not give you an exact circular orbit, you will need to tidy it up once you have got most of the way there.
Oct 25, 2015 at 18:13 comment added Puffin You could get a rough idea of the effects of adding a small ∆V through the vis-viva equation, i.e. check the impact on the semi-major axis, at places progressively away from apogee. v^2 = GM (2/r - 1/a)
Oct 25, 2015 at 18:10 comment added Puffin I confess for my part that the "cosine dependency" was something I thought of twenty years ago when I didn't have the time to look into it more. I meant to use the cosine shape to inspire what length of arc to apply full thrust. It will be trial and error in choosing a compromise between propellant efficiency and transfer time. You could also decide to modulate the thrust level, or direction (to remain orthogonal to the radius vector), away from apogee. I couldn't say off the cuff which would be better.
Oct 24, 2015 at 9:11 comment added HopDavid I was thinking of circular to circular orbits. But now that you mention it I would like modeling elliptical to elliptical orbits. So I've upvoted your answer. though I have to confess that I'm not sure what you mean by a cosine dependency.
Oct 9, 2015 at 17:02 review Late answers
Oct 9, 2015 at 17:18
Oct 9, 2015 at 16:47 history answered Puffin CC BY-SA 3.0