I'm not quite familiar with space exploration vocabulary.
For the Apollo missions, the trajectory was figure-8-shaped. Thus, the direction of rotation of the Earth orbit was opposite to the one around the Moon.
When speaking about a mission to Mars, I imagine the spacecraft first describes a few Earth orbits, then performs trans-Mars trajectory injection, and then describes a few Mars orbits before beginning its mission.
- for the initial orbits around earth, finding the direction of the orbit is quite easy as rockets are usually launched toward the East.
- for the Mars orbit, if the orbit goes in the same direction, the trans-Mars trajectory put the spacecraft slightly further; if the direction is the opposite, the trans-Mars trajectory looks like the Apollo trans-lunar trajectory.
When launching a spacecraft to Mars, what is the direction of the Mars orbit?