Richard Branson may soon have new bragging rights.

The British entrepreneur is aiming to earn his astronaut wings Sunday, attempting to fly to space aboard a rocket-powered vehicle developed by his space tourism company, Virgin Galactic. Though just a test flight, the expedition — Virgin Galactic’s first with a full crew — could be a major boost for the company, which is aiming to start commercial flights with paying customers in 2022.

If successful, Branson’s trip to space would edge out fellow billionaire and Amazon founder Jeff Bezos, who is planning a similar feat July 20 aboard a rocket and capsule designed by his own space company, Blue Origin. Though Branson, 70, has shrugged off notions that he’s competing with Bezos, the timing of the two flights is the culmination of a yearslong rivalry among Virgin Galactic, Blue Origin and other companies vying for a leg up in the burgeoning space tourism industry.

Branson’s flight will be a suborbital jaunt, so rather than reaching orbit and circling the Earth, the vehicle will fly to the edge of space, at an altitude of more than 50 miles, where passengers will experience roughly four minutes of weightlessness before returning to the ground. On previous test flights, the winged craft has reached an altitude of around 55 miles.