“Fly Me to the Moon” is the kind of movie that isn’t supposed to succeed in theaters anymore, at least if you listen to franchise-obsessed studio executives. The story is a period piece and completely original: In 1968, a government operative (Woody Harrelson) hires a marketing virtuoso (Scarlett Johansson) to convince the public — and Congress — that a troubled NASA can pull off its scheduled Apollo 11 moon landing. Stylish and devious, she clashes with the rigid launch director (Channing Tatum) and secretly — as a backup, to be used only in an emergency — arranges for a fake landing to be filmed on a soundstage. What’s the harm? Hollywood marketers will tell you that ticket buyers eschew movies that mash together genres. And “Fly Me to the Moon” is part drama, part comedic caper, part romance, part fiction and part true story. Particularly in the summer, studios prefer to serve up mindless popcorn movies aimed at teenagers. “Fly Me to the Moon” is entertainment for thinking adults, the kind that Mike Nichols (“Working Girl”) and James L. Brooks (“Broadcast News”) made in the 1980s. So the question must be asked: How on earth did “Fly Me to the Moon” manage to score a wide release in theaters at the height of blockbuster season? The film rolls into 3,300 theaters in the United States and Canada on Friday.