While far from out-of-this-world, “Fly Me to the Moon” stays aloft with a fun premise, star power, a nice tempo and good vibes. The romantic comedy set in the late 1960s against the backdrop of the space race between the United States and the Soviet Union pairs Scarlett Johansson and Channing Tatum as, respectively, a freewheeling New York City marketing specialist and a by-the-books NASA launch director. Directed by Greg Berlanti (“Love, Simon”), “Fly Me to the Moon” is jaunty and jazzy from its musically enhanced opening-credits sequence, which brings the viewer up to speed on the relevant history, including the tragedy of the Apollo 1 mission in early 1967, which greatly informs the behavior of Tatum’s Cole Davis.

It is now seven months from the launch of the Apollo 11 mission, which, if all goes according to plan, will see the U.S. put the first men on the moon in mid-1969.

To say Cole is wound a little tightly is an understatement — he’s obsessed with catching a black cat having the run of the Cape Kennedy facility in Florida — but, in fairness to him, he is nearly blown to smithereens in the movie’s first few minutes. It is then we also are introduced to Johansson’s Kelly Jones, who, pretending to be pregnant, sells some male car executives — who initially do their best to dismiss her — on an advertising campaign that would sell not just the automobiles’ speed but also their safety, which, she says, will appeal to the wives of the prospecti.