Communication with satellites certainly requires knowing the speed of light. Beyond having that magic number, do relativistic phenomena affect communication with satellites? For example, would one be able to take an accurate photograph of a specific spot on a remote planet without knowledge of relativity?
A similar question can be raised in the context of GPS: would one get accurate transmissions based on knowledge of the speed of light alone, or is knowledge of the details of relativity required to get accurate transmissions?
In other words, consider the stage of physics at the end of the 19th century when the speed of light was known already, but the formalism of relativity did not exist yet. Would people have been able to communicate accurately and in time with space probes, and get accurate transmissions via GPS?
GE was confirmed experimentally long ago by Mercury precession (see links below) but beyond such fairly esoteric phenomena in astronomy I was wondering about the specific practical manifestations this has, as described above.