Inertial navigation equations allowing relativistic effects

Details Inertial navigation equations allowing relativistic effects Inertial navigation equations allowing relativistic effects

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976dossr.231.1311s&link_type=abstract

Akademiia Nauk SSSR, Doklady, vol. 231, Dec. 21, 1976, p. 1311-1314. In Russian.

Mathematics

1

Inertial Navigation, Relativity, Rotating Bodies, Differential Equations, Geodesic Lines, Matrices (Mathematics), Riemann Manifold

Scientific paper

Heag and Wrigley (1975) have discussed, within the framework of special relativity theory, the navigation aspects of the rectilinear motion of a mass point at a given acceleration. In the present paper, the arbitrary motion of a small particle in a four-dimensional Riemann space is discussed and the geodesic line of its center of mass is determined. The rotation and the deformation of a small volume of the particle with respect to inertial Fermi-Walker coordinates at points of the geodesic line, are examined.

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