Contributions to reference systems from Lunar Laser Ranging using the IfE analysis model

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Original languageEnglish
Pages (from-to)975-987
Number of pages13
JournalJournal of geodesy
Volume92
Issue number9
Publication statusPublished - 17 Jan 2018

Abstract

Lunar Laser Ranging (LLR) provides various quantities related to reference frames like Earth orientation parameters, coordinates and velocities of ground stations in the Earth-fixed frame and selenocentric coordinates of the lunar retro-reflectors. This paper presents the recent results from LLR data analysis at the Institut für Erdmessung, Leibniz Universität Hannover, based on all LLR data up to the end of 2016. The estimates of long-periodic nutation coefficients with periods between 13.6 days and 18.6 years are obtained with an accuracy in the order of 0.05–0.7 milliarcseconds (mas). Estimations of the Earth rotation phase Δ UT are accurate at the level of 0.032 ms if more than 14 normal points per night are included. The tie between the dynamical ephemeris frame to the kinematic celestial frame is estimated from pure LLR observations by two angles and their rates with an accuracy of 0.25 and 0.02 mas per year. The estimated station coordinates and velocities are compared to the ITRF2014 solution and the geometry of the retro-reflector network with the DE430 solution. The given accuracies represent 3 times formal errors of the parameter fit. The accuracy for Δ UT is based on the standard deviation of the estimates with respect to the reference C04 solution.

Keywords

    Earth rotation, Lunar Laser Ranging, Lunar retro-reflector coordinates, Nutation, Station coordinates

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Contributions to reference systems from Lunar Laser Ranging using the IfE analysis model. / Hofmann, Franz; Biskupek, Liliane; Müller, Jürgen.
In: Journal of geodesy, Vol. 92, No. 9, 17.01.2018, p. 975-987.

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Hofmann F, Biskupek L, Müller J. Contributions to reference systems from Lunar Laser Ranging using the IfE analysis model. Journal of geodesy. 2018 Jan 17;92(9):975-987. doi: 10.1007/s00190-018-1109-3
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title = "Contributions to reference systems from Lunar Laser Ranging using the IfE analysis model",
abstract = "Lunar Laser Ranging (LLR) provides various quantities related to reference frames like Earth orientation parameters, coordinates and velocities of ground stations in the Earth-fixed frame and selenocentric coordinates of the lunar retro-reflectors. This paper presents the recent results from LLR data analysis at the Institut f{\"u}r Erdmessung, Leibniz Universit{\"a}t Hannover, based on all LLR data up to the end of 2016. The estimates of long-periodic nutation coefficients with periods between 13.6 days and 18.6 years are obtained with an accuracy in the order of 0.05–0.7 milliarcseconds (mas). Estimations of the Earth rotation phase Δ UT are accurate at the level of 0.032 ms if more than 14 normal points per night are included. The tie between the dynamical ephemeris frame to the kinematic celestial frame is estimated from pure LLR observations by two angles and their rates with an accuracy of 0.25 and 0.02 mas per year. The estimated station coordinates and velocities are compared to the ITRF2014 solution and the geometry of the retro-reflector network with the DE430 solution. The given accuracies represent 3 times formal errors of the parameter fit. The accuracy for Δ UT is based on the standard deviation of the estimates with respect to the reference C04 solution.",
keywords = "Earth rotation, Lunar Laser Ranging, Lunar retro-reflector coordinates, Nutation, Station coordinates",
author = "Franz Hofmann and Liliane Biskupek and J{\"u}rgen M{\"u}ller",
note = "Funding information: Current LLR data are collected, archived, and distributed under the auspices of the International Laser Ranging Service (ILRS) (Pearlman et al. 2002). We acknowledge with thanks, that the more than 47 years of processed LLR data has been obtained under the efforts of the personnel at the Observatoire de la C{\^o}te dAzur in France, the LURE Observatory in Maui, Hawaii, the McDonald Observatory in Texas, the Apache Point Observatory in New Mexico and the Matera Laser Ranging station in Italy. LLR-related research at the University of Hannover was funded by the German Research Foundation (DFG), within the research unit FOR1503 “Space–Time Reference Systems for Monitoring Global Change and for Precise Navigation in Space”. We are also grateful to the three anonymous reviewers for their valuable comments which helped us in improving the paper.",
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AU - Hofmann, Franz

AU - Biskupek, Liliane

AU - Müller, Jürgen

N1 - Funding information: Current LLR data are collected, archived, and distributed under the auspices of the International Laser Ranging Service (ILRS) (Pearlman et al. 2002). We acknowledge with thanks, that the more than 47 years of processed LLR data has been obtained under the efforts of the personnel at the Observatoire de la Côte dAzur in France, the LURE Observatory in Maui, Hawaii, the McDonald Observatory in Texas, the Apache Point Observatory in New Mexico and the Matera Laser Ranging station in Italy. LLR-related research at the University of Hannover was funded by the German Research Foundation (DFG), within the research unit FOR1503 “Space–Time Reference Systems for Monitoring Global Change and for Precise Navigation in Space”. We are also grateful to the three anonymous reviewers for their valuable comments which helped us in improving the paper.

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N2 - Lunar Laser Ranging (LLR) provides various quantities related to reference frames like Earth orientation parameters, coordinates and velocities of ground stations in the Earth-fixed frame and selenocentric coordinates of the lunar retro-reflectors. This paper presents the recent results from LLR data analysis at the Institut für Erdmessung, Leibniz Universität Hannover, based on all LLR data up to the end of 2016. The estimates of long-periodic nutation coefficients with periods between 13.6 days and 18.6 years are obtained with an accuracy in the order of 0.05–0.7 milliarcseconds (mas). Estimations of the Earth rotation phase Δ UT are accurate at the level of 0.032 ms if more than 14 normal points per night are included. The tie between the dynamical ephemeris frame to the kinematic celestial frame is estimated from pure LLR observations by two angles and their rates with an accuracy of 0.25 and 0.02 mas per year. The estimated station coordinates and velocities are compared to the ITRF2014 solution and the geometry of the retro-reflector network with the DE430 solution. The given accuracies represent 3 times formal errors of the parameter fit. The accuracy for Δ UT is based on the standard deviation of the estimates with respect to the reference C04 solution.

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