The Soyuz capsule landed upright, but as often happens, winds dragged the parachute and pulled the capsule over on its side. Within half an hour, recovery teams helped all three astronauts out of the Soyuz.
Mr. Vande Hei was greeted by NASA flight doctors, public affairs officials and representatives from the astronaut’s office and the space station management. Gary Jordan, a NASA spokesman, said that there should be no deviation from the typical process for receiving American astronauts returning on Russia’s Soyuz spacecraft.
The astronauts first sat outside, drinking tea during initial medical tests. Mr. Vande Hei put on a protective mask but took off a pair of sunglasses, commenting that it was a beautiful day. As he and the two Russian crew were carried into an inflatable tent for more medical checks, Mr. Vande Hei spoke with someone on a satellite phone.
Following their stay in the tents the astronauts will take off on a two-hour helicopter flight to an airport, where Mr. Vande Hei and his NASA colleagues will get on a Gulfstream jet and head back to the United States. About 24 hours after landing in Kazakhstan, Mr. Vande Hei will be back in Houston.
While NASA and Roscomos worked together Wednesday to bring their crew members back from orbit, their cooperation was preceded in recent weeks by tense outbursts by Dmitry Rogozin, who leads the Russian space program. He shared a video that suggested the Russians might leave Mr. Vande Hei behind.
NASA officials have carefully sidestepped what Mr. Rogozin has said and insisted that nothing has changed.
“For the safety of our astronauts, the working relationship between NASA and our international partners continues,” Bill Nelson, the NASA administrator, said during his State of NASA speech on Monday. “And that includes the professional relationship between the cosmonauts and our astronauts.”