Geodesy and relativity |
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Authors: | Jürgen Müller Michael Soffel Sergei A Klioner |
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Institution: | 1.Institut für Erdmessung (IfE),Leibniz Universit?t Hannover (University of Hannover),Hannover,Germany;2.Institut für Planetare Geod?sie, Lohrmann-Observatorium,Dresden Technical University,Dresden,Germany |
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Abstract: | Relativity, or gravitational physics, has widely entered geodetic modelling and parameter determination. This concerns, first
of all, the fundamental reference systems used. The Barycentric Celestial Reference System (BCRS) has to be distinguished
carefully from the Geocentric Celestial Reference System (GCRS), which is the basic theoretical system for geodetic modelling
with a direct link to the International Terrestrial Reference System (ITRS), simply given by a rotation matrix. The relation
to the International Celestial Reference System (ICRS) is discussed, as well as various properties and relevance of these
systems. Then the representation of the gravitational field is discussed when relativity comes into play. Presently, the so-called
post-Newtonian approximation to GRT (general relativity theory) including relativistic effects to lowest order is sufficient
for practically all geodetic applications. At the present level of accuracy, space-geodetic techniques like VLBI (Very Long
Baseline Interferometry), GPS (Global Positioning System) and SLR/LLR (Satellite/Lunar Laser Ranging) have to be modelled
and analysed in the context of a post-Newtonian formalism. In fact, all reference and time frames involved, satellite and
planetary orbits, signal propagation and the various observables (frequencies, pulse travel times, phase and travel-time differences)
are treated within relativity. This paper reviews to what extent the space-geodetic techniques are affected by such a relativistic
treatment and where—vice versa—relativistic parameters can be determined by the analysis of geodetic measurements. At the
end, we give a brief outlook on how new or improved measurement techniques (e.g., optical clocks, Galileo) may further push
relativistic parameter determination and allow for refined geodetic measurements. |
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Keywords: | Relativity Reference systems Geodesy Space-geodetic techniques Modelling Parameter determination |
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