How far is Armando Iannucci’s new HBO comedy, “Avenue 5,” from his previous one, “Veep”? About a billion miles, give or take, or the distance from earth to Saturn, where the spaceship of the title is thrown off course, greatly increasing the time its load of unlucky tourists will have to spend on their interplanetary cruise.

Set 40 years in the future aboard a vessel that looks like a cross between the Starship Enterprise and a high-end mall, Iannucci’s new show would seem to be a radical departure from the acrid, of-the-moment political satire of “Veep” and his earlier British series “The Thick of It.” (Several of those shows’ writers, including Simon Blackwell, Tony Roche and Will Smith, have joined him on “Avenue 5.”)

But there are recognizably Iannuccian things about this space-com, which debuts Sunday. Like the politicians and operatives guiding the ship of state in “Veep,” the crew members of the Avenue 5 are an often amoral, small-minded and quarrelsome bunch whose constant sniping provides the bulk of the humor. Leading them is a captain, played by the “Veep” alumnus Hugh Laurie, who, like Vice President Selina Meyer, is not ideally qualified for his post.

And there does seem to be satirical intent in “Avenue 5,” although one of the show’s major problems, through four of the season’s nine episodes, is that it’s hard to tell what the targets are.