At approximately 01:30 mountain time, a Hawker Siddeley-125-700 was damaged when it missed the runway while landing at Jackson Hole Airport. No one was injured during the Part 135 flight. The captain said they could see runway 18 from five nautical miles away. He said he flew an ILS approach and landed the airplane on the runway. An investigation revealed the airplane first hit the ground approximately 160 feet left of the runway and 3,500 feet down the 6,300-foot runway. The airplane settled into approximately 2 to 3 feet of snow, and left a track in the snow for approximately 600 feet. The right wing separated from the airplane and the left wing was bent and badly damaged.