Navigation in curved spacetime
Abstract
A covariant and invariant theory of navigation in curved spacetime with respect to electromagnetic beacons is written in terms of J. L. Synge's twopoint invariant world function. Explicit equations are given for navigation in spacetime 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.
 Publication:

American Journal of Physics
 Pub Date:
 March 2001
 DOI:
 10.1119/1.1326078
 arXiv:
 arXiv:grqc/0101077
 Bibcode:
 2001AmJPh..69..315B
 Keywords:

 01.50.i;
 04.20.Gz;
 Educational aids;
 Spacetime topology causal structure spinor structure;
 General Relativity and Quantum Cosmology
 EPrint:
 Am.J.Phys. 69 (2001) 315321