Details
| Original language | English |
|---|---|
| Pages (from-to) | 1594-1607 |
| Number of pages | 14 |
| Journal | Geophysical journal international |
| Volume | 216 |
| Issue number | 3 |
| Publication status | Published - 28 Nov 2018 |
Abstract
The unification of local height systems has been a classical geodetic problem for a long time, the main challenges of which are the estimation of offsets between different height systems and the correction of tilts along the levelling lines. It has been proposed to address these challenges with clock networks. The latest generation of optical clocks as well as the dedicated frequency links, for example optical fibres, are now approaching to deliver the comparison of frequencies at the level of 1.0 × 10 -18. It corresponds to an accuracy of about 1.0 cm in height difference. Clock networks can thus serve as a powerful tool to connect local height systems. To verify the idea, we carried out simulations using the EUVN/2000 (European Unified Vertical Network) as apriori input. Four local height systems were simulated from the EUVN/2000 by introducing individual offsets and tilts, and were reunified by using measurements in clock networks. The results demonstrate the great potential of clock networks for height system unification. In case that the offsets between different height systems and tilts along national levelling lines in both longitudinal and latitudinal directions are considered, three or four clocks measurements for each local region are sufficient for the unification. These clocks are to be interconnected and should be properly arranged so that they can sense the levelling tilts where necessary. Our results also indicate that even clocks with one magnitude poorer accuracy than the desired ones can still unify the height systems to some extent, but it may cause a shift for the reunified system.
Keywords
- Geodetic instrumentation, Geopotential theory, Reference systems, Satellite geodesy
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Geophysics
- Earth and Planetary Sciences(all)
- Geochemistry and Petrology
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In: Geophysical journal international, Vol. 216, No. 3, 28.11.2018, p. 1594-1607.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Clock networks for height system unification: A simulation study
AU - Wu, Hu
AU - Müller, Jürgen
AU - Lämmerzahl, Claus
N1 - Funding Information: The authors thank the DFG Sonderforschungsbereich (SFB) 1128 ‘Relativistic Geodesy and Gravimetry with Quantum Sensors (geo-Q)’ for financial support. Hu Wu acknowledges the International Space Science Institute (ISSI) for providing the opportunity to present this work at the Workshop on “Spacetime Metrology, Clocks and Relativistic Geodesy”, March 19-23, 2018. We also gratefully thank the two anonymous reviewers whose comments helped to improve and clarify this manuscript. Publisher Copyright: © The Author(s) 2018. Published by Oxford University Press on behalf of The Royal Astronomical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2018/11/28
Y1 - 2018/11/28
N2 - The unification of local height systems has been a classical geodetic problem for a long time, the main challenges of which are the estimation of offsets between different height systems and the correction of tilts along the levelling lines. It has been proposed to address these challenges with clock networks. The latest generation of optical clocks as well as the dedicated frequency links, for example optical fibres, are now approaching to deliver the comparison of frequencies at the level of 1.0 × 10 -18. It corresponds to an accuracy of about 1.0 cm in height difference. Clock networks can thus serve as a powerful tool to connect local height systems. To verify the idea, we carried out simulations using the EUVN/2000 (European Unified Vertical Network) as apriori input. Four local height systems were simulated from the EUVN/2000 by introducing individual offsets and tilts, and were reunified by using measurements in clock networks. The results demonstrate the great potential of clock networks for height system unification. In case that the offsets between different height systems and tilts along national levelling lines in both longitudinal and latitudinal directions are considered, three or four clocks measurements for each local region are sufficient for the unification. These clocks are to be interconnected and should be properly arranged so that they can sense the levelling tilts where necessary. Our results also indicate that even clocks with one magnitude poorer accuracy than the desired ones can still unify the height systems to some extent, but it may cause a shift for the reunified system.
AB - The unification of local height systems has been a classical geodetic problem for a long time, the main challenges of which are the estimation of offsets between different height systems and the correction of tilts along the levelling lines. It has been proposed to address these challenges with clock networks. The latest generation of optical clocks as well as the dedicated frequency links, for example optical fibres, are now approaching to deliver the comparison of frequencies at the level of 1.0 × 10 -18. It corresponds to an accuracy of about 1.0 cm in height difference. Clock networks can thus serve as a powerful tool to connect local height systems. To verify the idea, we carried out simulations using the EUVN/2000 (European Unified Vertical Network) as apriori input. Four local height systems were simulated from the EUVN/2000 by introducing individual offsets and tilts, and were reunified by using measurements in clock networks. The results demonstrate the great potential of clock networks for height system unification. In case that the offsets between different height systems and tilts along national levelling lines in both longitudinal and latitudinal directions are considered, three or four clocks measurements for each local region are sufficient for the unification. These clocks are to be interconnected and should be properly arranged so that they can sense the levelling tilts where necessary. Our results also indicate that even clocks with one magnitude poorer accuracy than the desired ones can still unify the height systems to some extent, but it may cause a shift for the reunified system.
KW - Geodetic instrumentation
KW - Geopotential theory
KW - Reference systems
KW - Satellite geodesy
UR - http://www.scopus.com/inward/record.url?scp=85062231507&partnerID=8YFLogxK
U2 - 10.1093/gji/ggy508
DO - 10.1093/gji/ggy508
M3 - Article
AN - SCOPUS:85062231507
VL - 216
SP - 1594
EP - 1607
JO - Geophysical journal international
JF - Geophysical journal international
SN - 0956-540X
IS - 3
ER -