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Earth Orientation Parameters from Lunar Laser Ranging

Earth Orientation Parameters from Lunar Laser Ranging. Liliane Biskupek Jürgen Müller. Contents. Model and analysis Nutation Earth rotation from LLR data by daily decomposition method Conclusions. r reflector. r EM. d. r station. Model. model based upon Einstein's theory.

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Earth Orientation Parameters from Lunar Laser Ranging

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  1. Earth Orientation Parameters fromLunar Laser Ranging Liliane Biskupek Jürgen Müller

  2. Contents • Model and analysis • Nutation • Earth rotation from LLR data by daily decomposition method • Conclusions 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  3. rreflector rEM d rstation Model • model based upon Einstein's theory • transformation between reference systems • (Earth, Moon, inertial) • transformation between time systems • orbital motion of the solar system bodies • rotation of Earth and Moon • gravitational time delay (Shapiro effect) 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  4. Analysis • weighted least-squares adjustment:  determination of the parameter of Earth-Moon system (ca. 180) • coordinates of LLR stations and retro-reflector arrays • parameters of physical librations and orbit of the Moon • orbit / mass of the Earth-Moon system, • lowest mass multipole moments of the Moon • long-periodic nutation parameters • relativistic parameters 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  5. Analysis • weighted least-squares adjustment:  determination of the parameter of Earth-Moon system (ca. 180) • coordinates of LLR stations and retro-reflector arrays • parameters of physical librations and orbit of the Moon • orbit / mass of the Earth-Moon system, • lowest mass multipole moments of the Moon • long-periodic nutation parameters • relativistic parameters residuals of standard solution 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  6. Standard solution 2008 • weighted residuals of data 12.1969 - 03.2008 (16230 normal points) 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  7. Nutation • Fitting for different period of nutation coefficients • 18.6 years, 9.3 years, 1 year, 182.6 days,13.6 days Nj : multiplier, Fj : Delaunay parameter 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  8. Nutation 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  9. Nutation 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  10. Earth rotation from LLR data • use of different EOP series (IERS EOP C04, COMB2006) as input in global adjustment • analysis of the post-fit residuals to determine corrections for Earth rotation DUT0 and variation of latitude VOL • use of determined VOL corrections in own analysis to improve the results 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  11. Data sets of EOP (1) 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  12. Data sets of EOP (2) • differences between IERS EOP C04 and COMB2006 xP yP DUT1 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  13. Daily decomposition (1) • merge of post-fit residuals to daily sets of station-reflector combinations (min. 3) • 1179 daily sets for OCA, Grasse • 752 daily sets for Mc Donald • daily-decomposition method (least-squares adjustment) 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  14. Daily decomposition (2) 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  15. Results for VOL • Mc Donald, Texas IERS EOP C04 COMB2006 std = 6.1 mas std = 6.4 mas 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  16. Corrections in global adjustment • use of VOL as correction in calculation 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  17. Conclusions • Long-periodic nutation coefficients • differences to the model not yet understood, further investigation needed • comparison with VLBI results • Corrections for DUT0 and VOL are calculated • use of VOL in own analysis does not show significant improvements in the results • test of different filters • calculation of LOD to compare with VLBI results 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

  18. 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008

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