Can someone give me the equations for rendezvous?

[manuelasa1999]

Hi KSP comunity, i want to learn the equations for the rendezvous, the last days i've been trying to create an equation to get the difference angle between the vessel and the target, then knowing that angle create a maneuver and execute it and voila rendezvous, but i'm not to good at maths and the equation fails sometimes. For that i want to ask you the equation or equations necesary to rendezvous with a target.

Sorry for my English

[sal_vager]

This should help you and this too, I can't do the maths behind these but maybe you can work it out

[manuelasa1999]

This should help you and this too, I can't do the maths behind these but maybe you can work it out

Thank you a lot but i wanted the equations, anyway it is very usefull thank you again

[Supernovy]

θ_phase = Ï€(1-((r₁/2r₂)+0.5)^3/2)

substitute π for 180 degrees if using degrees.

This will give the angle between you and the target at which to perform a standard Hohmann transfer to the target. This only works for r₁ (your orbit) less than r₂ (the target orbit). Also, only works for mostly circular orbits. The more general form of this equation is much larger and more nasty, however.

Edited March 9, 2014 by Supernovy
Formatting, more info.

[K^2]

It's very easy to make an orbit-matching maneuver, and I could walk you through equations. But for rendezvous, you need to match orbit and time. (In terms of orbital elements, your anomalies must match. In fact, all orbital parameters must match, but that's the tricky one.)

I am not aware of any method of doing this that does not rely on iterative methods. Are you trying to understand this, or are you just looking for a quick tool? I can probably write a script that gives you a good (not necessarily the best) transfer for rendezvous, if that's all you need. You can also try to figure out what the code does to understand this better.