The Orion spaceship is lowered onto the Space Launch System rocket at NASA's Kennedy Space Center in Florida, October 20, 2021. NASA/Frank Michaux NASA has finished stacking the parts for its new moon rocket at the Kennedy Space Center in Florida. The 23-story Space Launch System is taller than the Statue of Liberty and barely fits into photos. NASA plans to launch SLS on an uncrewed trip around the moon in February, before flying astronauts. NASA has finally finished building its next moon rocket, and it's a behemoth.Towering at 322 feet, the Space Launch System (SLS) is taller than the Statue of Liberty, which is 305 feet high.