In one section of his auto-biography, Alvarez: Adventures of a Physicist, Luis Alvarez describes a tour of Antarctica. This comment about a flight over the south pole caught my attention:
The South Pole is located on level ice nine thousand feet above sea level, so one goes up to the pole. After passing the pole, we flew for hours at constant barometric altitude and at a constant radar altitude of three hundred feet above the surface. It was hard for me to believe that ice, like water, seeks its own level to that accuracy.
He's saying that the surface of the ice is a surface of constant air pressure. Is this true?
I can imagine that the thick sheet of ice is sufficiently compliant that it would respond to changes in pressure from above. But how quickly, and over what length scales? And is he really implying that the air pressure at the south pole is the same as the air pressure several hours' flight away?