 FACT: In the movie, Riker talks to Cochrane about seeing people on  the moon on this bright sun lit day. It shows a nice healthy full  moon during the day. According to data from the U.S. Naval  Observatory Astronomical Applications Department, the moon will  indeed be visible during the day on April 5, 2063 (or there abouts)  in Northern Montana. However, it wont be a full moon, it will be  "waxing crescent with 43% of the Moons visible disk illuminated".