orient: metaphysical/conceptual
orient***: physical/literal

Now, I'm a staff member for a Boy Scout leader training camp and we teach a few outdoor skills including map and compass instruction. It's definitely "orient a map" and I would say that it's more physical than metaphysical, unless there are ghosts on the map.

Also, the "sport" which includes walking (a physical activity) is called orienteering, not orientateering.