Axiom Mission 4, or Ax-4, lifted off early Wednesday from NASA's Kennedy Space Center in Florida aboard a brand-new SpaceX Crew Dragon capsule riding a Falcon 9 rocket.

Onboard were pilot Shubhanshu Shukla of India; mission specialists Slawosz Uznanski-Wisniewski of Poland and Tibor Kapu of Hungary; and Commander Peggy Whitson of the United States, a former NASA astronaut now with Axiom Space, which organizes private spaceflights.

The capsule, the fifth and final Dragon in the SpaceX fleet, was christened "Grace" after reaching orbit.

It achieved "soft capture," or the first stage of docking, with the orbital lab Thursday at 6:31 am Eastern Time (1031 GMT).

They later entered the station through the hatch and were greeted by the current ISS crew during a brief welcome ceremony.

"It's so great to be here at last," said Whitson. "That was a long quarantine."

The crew will now spend about 14 days aboard the station, conducting some 60 experiments -- including studies on microalgae, sprouting salad seeds, and the hardiness of microscopic tardigrades in space.

- Key step for India -

The last time India, Poland or Hungary sent people to space, their current crop of astronauts had not yet been born -- and back then they were called cosmonauts, as they all flew on Soviet missions before the fall of the Iron Curtain.

Shukla is the first Indian to reach space since Rakesh Sharma, who flew to the Salyut 7 station in 1984 as part of an Indo-Soviet mission.

India's space agency, ISRO, sees this flight as a key step toward its first independent crewed mission, slated for 2027 under the Gaganyaan ("sky craft") program.

"What a fantastic ride," Shukla said in Hindi after liftoff. "This isn't just the start of my journey to the International Space Station -- it's the beginning of India's human space program."

Each country is funding its astronaut's seat.

Poland has spent 65 million euros for its astronaut's flight, according to the Polish Space Agency. Hungary announced a $100 million deal with Axiom in 2022, according to spacenews.com, while India has not officially commented.

The Ax-4 launch comes after technical issues delayed the mission, originally slated for early June.

It also follows an online spat between US President Donald Trump and SpaceX chief Elon Musk, the world's richest person and, until recently, Trump's ally and advisor.

Trump threatened to yank SpaceX's federal contracts -- worth tens of billions of dollars -- prompting Musk to threaten an early retirement of Dragon, the only US spacecraft currently certified to carry astronauts to the ISS.

Musk walked back the threat a few hours later and in the days that followed continued to deescalate, stating on X that he had gone "too far."

Any falling out between SpaceX and the US government would be massively disruptive, given NASA and the Pentagon's reliance on Falcon 9 and Falcon Heavy to send up crew, cargo, satellites and probes.

But for now, analysts believe both sides are too entangled to risk a serious break.