Suppose we must choose a location in our solar system for a self-sustaining space-station. Imagine that the station will house experiments which must be completed as quickly as possible for the benefit of all humankind, and these efforts will be ongoing, so long-term productivity is the dominant concern.
For this reason, we want time in this station to progress as quickly as possible relative to the rest of the solar system. The station is allowed to be attached to a stable body, or it can reside in any stable orbit.
It seems we need general relativity to solve this problem, and I do not know where to begin.