[LeifCarrotson]

I think it would be an APS constellation, because Martian orbits like Areosynchronous get their prefix from the greek Ares.

That would be really cool, I wonder if it would be faster and more precise because there would be negligible human-produced radio noise to interfere and the Martian ionosphere is much thinner, or if it would be worse because the thinner and weaker atmosphere and magnetic field don't protect the receivers from solar noise.

I wonder if a rover could drop a few beacons for time-of-flight 2D triangulation, it's not like they're moving hundreds of miles away over the horizon.

[pilsetnieks]

But the G in the Global Positioning System doesn't stand for Geosynchronous...

[Sharlin]

Indeed satellite navigation sats aren’t even on geosynchronous orbits.