... On the Facebook, so naturally I thought I'd ask the foosters.

Is orbital velocity the same no matter which dirction the orbit is moving? I say a polar orbit, a retrograde orbit, and an orbit with the rotation of a body are all the same given equal altitudes. My friend, who is WRONG, says that a retrograde orbit needs to be twice the speed of a co-rotational orbit.

What says Foo? Asshat if you must, but if someone actually knows and can point me to the actual math, you'll have the satisfaction of knowing you've helped me win a 6er of delicious beer.