# Navigation in curved space-time

@article{Bahder2001NavigationIC, title={Navigation in curved space-time}, author={Thomas B. Bahder}, journal={American Journal of Physics}, year={2001}, volume={69}, pages={315-321} }

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 his or her spatial position is known is also considered.

## 47 Citations

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### Numerical modeling of a Global Navigation Satellite System in a general relativistic framework

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We simulate the satellite constellations of two Global Navigation Satellite Systems: Galileo (EU) and GPS (USA). Satellite motions are described in the Schwarzschild space-time produced by an…

### Relativistic Stereometric Coordinates from Relativistic Localizing Systems and the Projective Geometry of the Spacetime Manifold

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Relativistic stereometric coordinates supplied by relativistic auto-locating positioning systems made up of four satellites supplemented by a fifth one are defined in addition to the well-known…

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