A week later, Mr. Rockefeller personally urged Mr. Carter in a phone call to direct the secretary of state to meet with the shah about “the current situation.” Mr. Carter did not and the shah soon departed, for Panama, then Egypt.

Only after the death of the shah, on July 27, 1980, nine months after his landing in Fort Lauderdale, did the Project Eagle team shift to new objectives. One was protecting Mr. Rockefeller from blame for the crisis.

Over roast loin of veal and vintage wine at the exclusive River Club in New York, Mr. Rockefeller and nine others on the team gathered on Aug. 19. Amid discussion of a laudatory biography of the shah by a Berkeley professor that the team had commissioned, some warned that a Rockefeller link to the embassy seizure would be hard to escape.

Why was the shah admitted? “Medical treatment/DR recommended,” one said, using Mr. Rockefeller’s initials, according to minutes of the dinner. “This association cannot be ignored.”

But Mr. Kissinger was reassuring. Congress would never hold an investigation during an election campaign.

“I don’t think we are in trouble any more, David,” Mr. Kissinger told him.

The hostages were released on Inauguration Day, Jan. 20, 1981, and a few days later Mr. Carter’s departing White House counsel called Mr. Rockefeller to inquire about how the release deal affected Chase bank.

“Worked out very well,” Mr. Rockefeller told him, according to his records. “Far better than we had feared.”