THRONE FOR A ’LOOP

Branson takes over

Virgin Hyperloop One might have a taste for trouble on its board.

The high-speed train startup on Monday named Richard Branson to replace a chairman who is engulfed in sexual misconduct accusations — despite the fact that the British billionaire just got slapped with lurid allegations himself.

Branson (inset) will take over as Virgin Hyperloop One’s coexecutive chairman from Shervin Pishevar, the company said Monday.

Pishevar, a Silicon Valley billionaire, stepped down last week to fight accusations that he sexually harassed five women. He has denied the accusations.

But Branson has lately fallen under a cloud himself.

Singer Antonia Jenae claimed the 67-year-old Branson stuck his face between her breasts and proceeded to “motorboat” her while at a 2010 party on the billionaire’s Necker Island in the Caribbean, according to The Sun.

“We were by the bar and he was saying bye to everyone,” Jenae told the London tabloid. “He came up to me and put his face in my breasts. He went ‘brrrrrr’ and just walked away. It was surreal, totally out of the blue.”

Jenae also alleged that Virgin’s shaggy-haired honcho begged her to go topless at the party, according to The Sun, which is owned by News Corp., parent of The Post.

“His behavior was disgusting,” she told the newspaper. “I feel like it was sexual assault.”

A Virgin spokesperson responded to the accusation by telling the Sun that Branson has no recollection of the alleged incident.

“There would never have been any intention to offend or make anyone feel uncomfortable,” the spokesperson said. “Richard apologizes if anyone felt that way.”

Branson landed on Virgin Hyperloop One’s board as part of a deal that’s injecting $50 million to fund the company’s expansion. The cash is coming from Russia’s Caspian Venture Capital and Dubai’s DP World, according to an Axios report, which broke the news Monday.

Branson was already on the board of the Los Angeles company following an October investment that saw the startup rebrand to Virgin Hyperloop. His ascension to chairman was reportedly key to obtaining the additional funding.

The 670-mph train is promising fast transit between major cities — like a New Yorkto-DC ride in 45 minutes — via electric propulsion through low-pressure tubes.

Ownership hopes to debut the Hyperloop by 2021.