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The Hermit A crater is located in the vicinity of the north pole of the moon. Data from three lunar missions (Chandrayaan-1, -2, LRO) suggest that this crater is one of the places where deposits of water ice or other volatile compounds may be present. We calculated the illumination condition in the region of Hermite A crater.We used the Monte Carlo method to estimate the amount of water that can be delivered to the Hermit A crater as a result of asteroid or comet impacts. Our calculations show that even with a single collision of an asteroid or a comet with the Moon, from 0.8·103 to 5.3·1010 g of water can be preserved in the Hermite A crater.