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Reference frames in relativistic space-time

Published online by Cambridge University Press:  03 August 2017

M. Soffel,
H. Herold,
H. Ruder and
M. Schneider
M. Soffel
Affiliation:
Lehrstuhl für Theor. Astrophysik, Auf der Morgenstelle 12, D-7400 Tübingen, FRGSFB78 Satellitengeodäsie, Technische Universität München, D-8000 München, FRG
H. Herold
Affiliation:
Lehrstuhl für Theor. Astrophysik, Auf der Morgenstelle 12, D-7400 Tübingen, FRG
H. Ruder
Affiliation:
Lehrstuhl für Theor. Astrophysik, Auf der Morgenstelle 12, D-7400 Tübingen, FRG
M. Schneider
Affiliation:
SFB78 Satellitengeodäsie, Technische Universität München, D-8000 München, FRG

Abstract

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Three fundamental concepts of reference frames in relativistic space-time are confronted: 1. the gravitational compass, 2. the stellar compass and 3. the inertial compass. It is argued that under certain conditions asymptotically fixed (stellar) reference frames can be introduced with the same rigour as local Fermi frames, thereby eliminating one possible psychological reason why the importance of Fermi frames frequently has been overestimated in the past. As applications of these three concepts we discuss: 1. a relativistic definition of the geoid, 2. a relativistic astrometric problem and 3. the post-Newtonian theory of a laser gyroscope fixed to the Earth's surface.

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