The SpaceX Falcon 9 rocket lifts off from pad 40 Wednesday at the Cape Canaveral Air Force Station in Cape Canaveral, Fla.

Cape Canaveral, Fla ? NASA took a giant leap away from the spaceflight business Wednesday as a private company launched a spacecraft into orbit and for the first time guided it safely back to Earth, a feat previously achieved only by large national governments.

The capsule built by Space Exploration Technologies Inc. splashed down into the Pacific Ocean, right on target, following a three-hour mission that should pave the way for an actual flight to the International Space Station next summer.

NASA wants to enlist private companies to handle space station supply runs as well as astronaut rides after the shuttles stop flying next year. Until then, the space agency will have to continue paying tens of millions of dollars to the Russians for every American astronaut ferried back and forth.

Prior to Wednesday’s test flight, recovering a spacecraft re-entering from orbit was something achieved by only five independent nations: the United States, Russia, China, Japan and India, plus the European Space Agency, a consortium of countries.

NASA immediately offered up congratulations, as did astronauts, lawmakers, and aerospace organizations and companies.

“I’m sort of in semi-shock,” said the company’s CEO, Elon Musk. “It’s just mind-blowingly awesome. I apologize, and I wish I was more articulate, but it’s hard to be articulate when your mind’s blown — but in a very good way.”

Speaking from the company’s headquarters in Hawthorne, Calif., Musk said his Falcon 9 rocket and the capsule named Dragon operated better than expected.

If astronauts had been on board, “they would have had a very nice ride,” Musk told reporters. “The vehicle that you saw today can easily transport people,” with the addition of escape and life-support systems.

The Dragon flown Wednesday — nearly 17 feet tall and 12 feet in diameter — was reminiscent of the NASA capsules of old, which ended their missions with ocean splashdowns.

Designers of most next-generation spacecraft have abandoned the shuttle system, which proved extremely complicated, expensive and vulnerable to damage. Many engineers believe Apollo-style capsules will be cheaper, safer and capable of a wider variety of missions.

Wednesday’s flight was only the second for this type of rocket.

Musk envisions that later models of the capsule, for crews, will be equipped for precision landings on patches of ground as small as a helipad. These would be powered touchdowns using landing gears, similar to the lunar landings. The spacecraft could refuel and then be used again, he said.

This early version of the capsule circled the world twice, then parachuted into the Pacific. It splashed down roughly 500 miles off the Mexican coast, within a few miles of the targeted area. Recovery crews were quickly on the scene, putting floats on the spacecraft.

Musk raised his arms in victory when the three red-and-white-striped parachutes deployed. He knew then “it was a done deal.”

“This was done with 1,200 people,” Musk noted, versus the efforts of entire countries and their supporting industries.

The spacecraft carried thousands of patches for company employees; no official payload was required for this test. A humorous payload, though, was on board. Musk promised to divulge its identity today so it would not overwhelm Wednesday’s headlines. An Army nanosatellite hitched a ride on the upper stage of the 158-foot rocket in a technology demonstration.

The accolades quickly mounted as the afternoon wore on.

“These new explorers are to spaceflight what Lindbergh was to commercial aviation,” said NASA Administrator Charles Bolden.

“SpaceX changes the game in spaceflight,” noted the Space Frontier Foundation.

And from Sen. Bill Nelson, a Florida Democrat and former space shuttle flier: “We’ve arrived at the dawn of new era of U.S. space exploration that should ensure America remains a leader in space exploration.”