A long-term solution to orbital decay is problematic because it's more than just the obvious 2-body problem of Earth and satellite. The moon and sun also have large effects on the future orbit, as well as Jupiter and possibly other planets depending on their locations. Peturbations of the otherwise stable orbit is one of the three main reasons satellites need the ability to make course corrections, the others being making adjustments to get an urgently needed photo, and in the case of military satellites the need to avoid an enemy interceptor.
Reentry has another host of variables which make it extremely difficult to predict when it's not controlled. The manned mission reentries are so precise because large delta-v is used to control the trajectory so that the interface occurs within a specific atmospheric window. Earth's atmosphere expands and contracts depending on the seasons, lunar phase, and solar wind. During "low tide" conditions the satellite will encounter atmosphere lower down, while in "high tide" conditions the atmosphere reaches a lot further out. A tiny difference will make a huge difference in the point of impact.
As for a shuttle mission, even if the orbit were sufficiently predictable, the cost would be prohibitive. I have not looked at the ephemeris, but this satellite is probably in a high inclination orbit, one which the shuttle cannot reach from a Florida launch.
Reentry has another host of variables which make it extremely difficult to predict when it's not controlled. The manned mission reentries are so precise because large delta-v is used to control the trajectory so that the interface occurs within a specific atmospheric window. Earth's atmosphere expands and contracts depending on the seasons, lunar phase, and solar wind. During "low tide" conditions the satellite will encounter atmosphere lower down, while in "high tide" conditions the atmosphere reaches a lot further out. A tiny difference will make a huge difference in the point of impact.
As for a shuttle mission, even if the orbit were sufficiently predictable, the cost would be prohibitive. I have not looked at the ephemeris, but this satellite is probably in a high inclination orbit, one which the shuttle cannot reach from a Florida launch.