In the scene where Dr. Chen is trying to convince Dr. Greene that Carter needs psychiatric treatment, she says that she pulled out the "DMS-IV." She should have said the "DSM-IV," which is the Diagnostic and Statisctal Manual of Mental Disorders-Fourth Edition.
Frank stated that Jupiter only has eight moons when, in fact, it has 67. He then state Saturn has 18 confirmed moons, in fact, Saturn has 62, but not all are named. There are moons of both Jupiter and Saturn that can be seen from earth.