Define grand lunar canals, Physics

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Define Grand Lunar Canals (Moscow Phys-Tech)?

In one of his book, H. G. Wells illustrate an encounter of amateur earthling astronauts with a lunar civilization living in very deep caverns beneath the surface of the Moon. The caverns are attached to the surface by long channels filled with air.

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The channel is dug among points A and B on the surface of the Moon so that the angle AOB=90o suppose that the air pressure in the middle of a channel is Po = 1 atm. calculate approximately the air pressure in the channel near the surface of the Moon. The radius of the Moon a ≈ 1750.  The hastening due to gravity on the surface of the Moon gm≈ g/6  , where g is the hastening due to gravity on the surface of the Earth.


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