My goal is to find a velocity vector for two planets so that they orbit each other. The planets' masses and distances are known, just not their velocities.
When googling for an equation, I found a few that seemed on the right track but not quite what I need. Such as the equation for orbits where one body is significantly more massive than the other (e.g. the earth and the sun). Or equations that give the period of the orbit, but not a vector I can use.
Is there a straightforward way to approach this?