NASA never "sponsor" anything, but Omega have been the official NASA watch since the 60's. That model is called the Apollo XIII Silver Snoopy Limited Edition. they made 1970 and they sold out almost immediately, I nearly missed out on it but fortunately Omega UK are good friends of mine

and got me one and they pretty much give me a heads up on anything coming in now.
There are three Omega Snoopy watches. I have two of them both unworn and the third was released earlier this year but they haven't made it limited edition and they priced it high and typically those watches sink in value. I have this one, the first one below. The watches are to signify the award of a Silver Snoopy, which the astronauts give personally to individuals or organsations who make a significant contribution to the space programme. Omega received the award just after Apollo XIII because the Moonwatch was used to time the engine burns that returned the crew safely. The Apollo XIII gave the award to Omega on October 1970. You can see on the photo above the what could you do in 14 seconds which was one of the key moments of the Apollo XIII mission.
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the new one is below, the backside of it is lovely but not sure about the front liable to get this as a wearer sometime this year.
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the new one is