Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 51, p. 5-9 (2014)

Construction of local observer reference systems for weak gravitational fields

A. Alexandrov, Ph.D. in Phys. and Math. Sciences,
V. Zhdanov, Dr. Phys. and Math. Sciences, Prof.,
E. Fedorova, Ph.D. in Phys. and Math. Sciences
Taras Shevchenko National University of Kyiv

Outstanding modern perspectives of microarcsecond astrometry demand to construct accurately the reference system which would be appropriate to consider the tiniest relativistic effects, and be convenient as possibly and clearly understandable as well. We develop a method to construct the reference system of a local observer within the linearized gravitation theory. It is based on the solution of equations for the geodesics, their deviation and for parallel transport, and also on the transformation from the instant normal coordinates to the Fermi and optical ones. The main advantage of the optical coordinates system is due to their direct link with observable positions of distant objects on the celestial sphere.

Reference system, gravitational fields

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