correct me 'cause i am sure i am wrong
It was my understanding that if you are in the same orbit, you will be travelling at the same speed, and therefore unlikely to overtake anyone. To overtake, or just catchup to the other satellite, you must slow down and descend to a lower orbit, which, being closer to the big pile of rock allows you cover a greater portion of your orbit in the same amount of time or the proportion of your orbit in less time. at the appropriate time in your orbit, you may increase your speed to rise to the original orbit and either collide or capture the other satellite.
I would also like to point out that when facing a collision, turn right only helps when you are approaching the other member of your collision pair head on as my turning to my right will be me turning to your left, and vice-versa. It was my understanding that in space most satellites are orbiting west to east equatorially.