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.