Because you are moving with the orbital in the orbit, that would mean you are going the same speed as it? So if it were to go faster, wouldn't you be going faster with it, in hand would you feel acceleration?
So let's say you are on an orbital satellite in an elliptical orbit around our planet Earth, meaning that the at one point in the orbit you are going faster, due to the gravitational pull of the planet. Would you feel the acceleration in space due to the shape of the orbit?