Inderpal Chhabra, a 48-year-old prominent physician who resides in Woodbury, and co-pilot David Tobachnik, 59, of Coram, were flying a Beechcraft Bonanza when the engine began to shake.
The plane took off from MacArthur Airport, Long Island, heading to Calverton, New York, but went down in the waters of the Long Island Sound on Sunday.
The two men crashed on the Long Island Sound and clung on to a rock in frigid waters before they were rescued off Shoreham, authorities said.
"It was a controlled landing on the water, it was not a crash," Chhabra said.
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He said he and his co-pilot swam a short distance to a large rock, after waiting on the wing until the plane sank.
They were rescued by volunteer firefighters.
"I was like, why is this taking them so long? We could see the police helicopters directly over us, so we knew that help was near, but it seemed like an eternity," Chhabra said.
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