I need a little mathematical advice, unconnected with Celestia.
I'm not even sure I'm phrasing the question right, so bear with me.
Assume a space vehicle is in open space (no planets, gravitational influences of any kind)
Assume it has expended a part of its available Delta-vee (X), to reach a straight-line speed of Y.
Now, it wishes to make a course change of Z degrees. Is there a formula that can tell me how much Delta-vee it would need to expend in order to make that course change, so that the value of Y after the manouevre is the same as before?
I figure that to execute any course change greater than or equal to 90 degrees will require expending X*2, but I may be wrong (in fact, its highly likely
![Smile :)](./images/smilies/icon_smile.gif)
Any help would be greatly appreciated.
Thanks,
Cormoran