LOS ANGELES — Neil Armstrong’s name is attached to a lunar crater, an asteroid, more than a dozen schools and a museum. But there’s no NASA center named for the man whose “giant leap” made him the first to moonwalk.

All that could change. Leaders at the space agency’s Dryden Flight Research Center in Southern California are mulling the consequences of a proposed name change at the place where Armstrong was a test pilot. The push by some in Congress to strike the name of former NASA executive Hugh Dryden from the facility has brought with it some questions: Is it justified to substitute one accomplished figure for another? At a time of squeezed budgets, is it worth the cost to change logos and nameplates?

It wouldn’t be the first rebranding of a NASA facility. The Lewis Research Center in Ohio — named for George Lewis, the first executive officer of NASA’s predecessor agency — was renamed for astronaut John Glenn, at a total cost of $260,000.

Dryden wouldn’t disappear entirely. The plan calls for designating the center’s test range in his honor as a consolation.