A company contracted by NASA to deliver supplies to the International Space Station successfully launched a rocket on Sunday in a test of its ability to send a cargo ship aloft.

About 10 minutes after the launch from Wallops Island on Virginia’s Eastern Shore, Orbital Sciences Corp. of Dulles declared the test a success after observing a practice payload reach orbit and safely separate from the rocket.

The Sunday launch comes after two previous attempts were scrubbed. A data cord that was connected to the rocket‘s second stage came loose just minutes before the rocket was set to lift off Wednesday, and company officials said they were easily able to fix the problem. A second attempt Saturday was scrubbed because of wind.

“It certainly was an amazing achievement for Orbital today, a great day for NASA and another historical day for commercial spaceflight in America. The flight today was just beautiful and it looks like the preliminary data says that all the objectives we established for the flight today were 100 percent met,” said Alan Lindenmoyer, manager of NASA’s commercial crew and cargo program.

The company from the Washington suburb of Dulles was one of two, along with California-based competitor SpaceX, chosen to supply the space station after NASA ended its three-decade-old shuttle program in 2011. The space agency turned to private companies for the job, saying it would focus on getting manned flights to asteroids and to Mars.

SpaceX was awarded a $1.6 billion contract by NASA in 2006 to make a dozen missions to restock the space station. Orbital got into the mix in 2008 when it was awarded a $1.9 billion contract for eight deliveries.

“We’ve been playing catch up, but we’re about caught up,” Frank Culbertson, executive vice president and general manager of Orbital’s Advanced Programs Group, said Tuesday. “By the end of next year we should have an additional four or five cargo missions under our belt, so we’re going to be moving fast.”

SpaceX has connected with the space station three times.

This summer, Orbital plans to launch a rocket carrying its Cygnus cargo ship to see whether it can safely dock with the space station. During the scheduled demonstration flight, the cargo ship would carry about 1,600 pounds of supplies that include food, clothing and spare parts.

Those supplies aren’t part of the company’s contract. But the company agreed to ferry supplies since it was already going there much like SpaceX did on its first demonstration flight in May 2012, when it dropped off 1,000 pounds of food, clothes, batteries and other provisions.

Orbital is under contract to deliver about 44,000 pounds of supplies to the space station and plans to make about two deliveries per year. Its cargo ship will carry about 4,400 pounds worth of supplies on each of its first three missions and 5,600 pounds on its last five.

Unlike the SpaceX’s Dragon capsule, the Orbital cargo ship is not designed to return with experiments or other items from the space station. Instead, plans call for filling the Cygnus ship with garbage that would be incinerated with the vessel upon reentry into Earth’s atmosphere. That’s also what Russian, European and Japanese cargo ships do.

Orbital had hoped to begin its rocket launches under the commercial resupply program in 2011, but faced a series of delays. That included a delay in the completion of its launch pad at NASA’s Wallops Flight Facility on the Virginia coast. That pad was built specifically for Orbital and is owned by the Virginia Commercial Space Flight Authority. The pad wasn’t delivered to the company until October.

Following Sunday’s launch, Culbertson declined to get into specifics about what caused all the delays over the past two years.

“Rockets are hard. Space flight is difficult and getting off the ground is a real challenge for whatever team is trying to do it,” he said. “The way I look it is we are on a new schedule now and we’re on schedule.”

NASA, meanwhile, is looking to private companies to start sending astronauts to the space station in coming years. Orbital is not in the running for that work though SpaceX, based in Hawthorne, Calif., is working to modify its Dragon capsules to transport astronauts. A handful of U.S. companies are competing for that assignment. Until then, U.S. astronauts are hitching rides to the International Space Station on Russian Soyuz rockets.

“With NASA focusing on the challenging and exciting task of sending humans deeper into space than ever before, private companies will be crucial in taking the baton for American cargo and crew launches into low-Earth orbit,” John Holdren, assistant to the president for science and technology, said in a blog post on the White House’s website congratulating Orbital.