Navigation in Curved Space-Time

Details Navigation in Curved Space-Time Navigation in Curved Space-Time

2001-01-18

arxiv.org/abs/gr-qc/0101077v1

Am.J.Phys. 69 (2001) 315-321

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1119/1.1326078

A covariant and invariant theory of navigation in curved space-time with respect to electromagnetic beacons is written in terms of J. L. Synge's two-point invariant world function. Explicit equations are given for navigation in space-time in the vicinity of the Earth in Schwarzschild coordinates and in rotating coordinates. The restricted problem of determining an observer's coordinate time when their spatial position is known is also considered.

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