Chronometric geodesy: methods and applications

Abstract

In section 2, we introduce fundamental concepts of GR concerning the measurement of time, relativistic reference systems and we review the recent literature of chronometric geodesy. In section 3 we introduce the theory of frequency standard comparisons, beginning with the Einstein equivalence principle, followed by the description of the frequency techniques, and finally, we describe clock syntonization and the realization of timescales. Section 4 describes the geodetic methods for determining the gravity potential, namely the geometric levelling approach and the GNSS/geoid approach, as well as considerations about the uncertainties of these methods. In section 5 we describe the European project ITOC where unified relativistic redshift corrections were determined for several clocks in European national metrology institutes. Finally, in section 6 we present numerical simulations exploring what could be the contribution of clock comparisons for the determination of the geoid.

arXiv commentto appear in "Relativistic Geodesy: Foundations and Applications", D. Puetzfeld et. al. (eds.)

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Cited by in corpus (6)

• GENESIS: Co-location of Geodetic Techniques in Space
• The unit of time: present and future directions
• Direct comparisons of European primary and secondary frequency standards via satellite techniques
• The Relativistic Geoid: Gravity Potential and Relativistic Effects
• Universal formalism for data sharing and processing in clock comparison networks
• Relativistic theory for time and frequency transfer through flowing media with an application to the atmosphere of Earth