Amid a flurry of ethical scandals vexing the military comes a new transgression: The Navy has rebuked three admirals for taking a questionable trip to Britain and thereby flunking what was termed “The Washington Post Test.”

Unlike other cases of personal misconduct that have been dogging U.S. military leaders in recent years, this episode hardly amounted to a high crime. The admirals went on an official, seven-day trip to Britain in April 2012 that, to some eyes, seemed more about pleasure and less about business.

A whistleblower reported the trip to the Naval Inspector General, alleging that the three commanders were longtime pals, that they took along their wives and that it was perceived as “no more than a taxpayer financed vacation to London, England for six close friends to celebrate.” At the time, two of the Navy officers had just been selected for promotion to one-star admiral.

The anonymous whistleblower acknowledged that many aspects of the trip might be “technically legal” but asked Navy investigators whether it would “stand up to ‘The Washington Post Test.’ ” In other words, what if The Post found out about it — would it provide embarrassing material for a news story?

In June, after a year-long investigation that resulted in a 68-page report and an intensive audit of every penny spent, the Naval Inspector General concluded that the admirals had flunked. It found that Rear Adms. Mark F. Heinrich, David R. Pimpo and Donald L. Singleton — each of whom held important Navy supply and logistics jobs — had violated federal travel regulations by staying at London hotels that cost more than $400 a night and booking unnecessarily expensive flights.

The inspector general determined that there were legitimate business reasons to take the trip, although it was a close call.

[Read the inspector general’s report]

The British Royal Navy had issued a standing invitation for the visit. Over seven days, the U.S. admirals visited the British Ministry of Defense for two hours, spent half a day at the U.S. Embassy in London and visited several British Navy installations. At the same time, they did take along their wives (although not at taxpayer expense), arranged a leisurely visit to Bath and didn’t do any business over the weekend.

When asked by the inspector general how the military benefited from the trip, Pimpo was a little vague, testifying that the purpose was “to talk to our counterparts about several issues that we had been working jointly.” Among other ideas, he said, he swapped pointers with the British about “how they train their cooks.”

The inspector general found a pattern of travel-related violations committed by Heinrich, who at the time was the commander of the Naval Supply Systems Command.

On the same day he returned to the United States from London, he took another taxpayer-paid flight to visit his alma mater, the University of Kansas. While there, he was inducted into the hall of fame of the school’s Chemical and Petroleum Engineering Department. He gave a speech, stayed the weekend and took in a football game.

The inspector general concluded that the award was “personal” and had little to do with his job at the Navy; that he spent $321 more on airfare than he should have; and that he improperly accepted a gift from the university, a laser-engraved chair valued at $338.

Over the next five weeks, Heinrich took other business trips to Dallas, Philadelphia, Norfolk, Washington and Richmond. In each case, the Navy found minor violations of regulations.

Heinrich retired as a two-star admiral on Nov. 1. In a phone interview, he said he was not forced to retire and that the Navy did not discipline or punish him as a result of the investigation. He said the purposes of his trips were entirely legitimate.

“With all candor, it was never anything more than an administrative issue,” he said. “I think I served with distinction and did the Navy proud.”

Singleton is now serving as the Pacific Fleet’s deputy chief of staff for logistics. He did not respond to requests for comment placed through a Navy spokesman.

Pimpo is now commander of the Defense Logistics Agency’s Land and Maritime office in Columbus, Ohio. He did not respond to an e-mail seeking comment or a request placed through a Navy spokeswoman.

Although the inspector general report on the admirals was kept confidential, The Post obtained it after filing a request under the Freedom of Information Act for all Naval Inspector General investigations into misconduct by admirals over the previous year.

The Navy released the report Thursday, four months after The Post filed the request.