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This isn't a straight forward math question. A satellite in orbit at a height of 173 miles and is experiencing orbital decay of 1640 feet a day will eventually come into contact with the upper atmosphere. Atmospheric drag will begin to affect the orbital decay rate, and it will increase. It will not be long before atmospheric drag, which will be heating the satellite, offers so much resistance that the satellite will be burning up and will be slowing down extremely rapidly. It's orbital decay will not be a linear thing as suggested by the problem posed. Only for a while at the start will its decay rate remain constant.

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Q: If a satellite which is in orbit 173 miles from earth begins to fall at 1640 feet a day when will it hit the earth?
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