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Indeed.

But if you're travelling significant distances, you're not going to be able to assume the space between you and all your beacons is flat.

For good accuracy you'd need a predictive spacetime curvature map for the entire galaxy, and that might not be an easy thing to generate.



it would probably be an advantage to measure the shift effect from multiple sources as you travel whatever fraction of the speed of light, giving both your position and derivatives such as velocity




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