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The stars would still rotate around the planet, but the rotation would be that of the planet rotating around its star.

So one would need timekeeping to track where you are in that cycle.

Since the cycle of stellar observation repeats each solar year, the observation would itself be a method of time keeping. One would need only to track the azimuth of a series of regularly positioned star constellations to determine time, and from there one could then ascertain location.

Indeed, but process is quite a bit slower, so you could likely get away with a worse clock.

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