Uhh, without gravity there IS no orbit.
From one helpful web site:
Unless it has to be repositioned to complete a specific task, most of the time the shuttle orbits the earth "upside down" with its two cargo bay doors wide open. This means the cargo bay faces the earth and the black protective tiles along the bottom of the orbiter face away from the earth. The open bay is part of the shuttle's method of keeping cool. If the shuttle is delivering or retrieving a satellite, it will fly "right-side-up". If it needs to dock with the space station, it will fly with its nose pointed away from the earth.
http://www.cdli.ca/CITE/sts_orbit.htm