Institut for Geodesy Research Unit Earth Rotation and Global Dynamic Processes Earth Orientation Parameters from Lunar Laser Ranging Liliane Biskupek Jürgen.

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Presentation transcript:

Institut for Geodesy Research Unit Earth Rotation and Global Dynamic Processes Earth Orientation Parameters from Lunar Laser Ranging Liliane Biskupek Jürgen Müller

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

16th International Workshop on Laser Ranging, Poznań, Model 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) model based upon Einstein's theory d r station r reflector r EM

16th International Workshop on Laser Ranging, Poznań, 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, Analysis residuals of standard solution 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, Standard solution 2008 weighted residuals of data (16230 normal points)

16th International Workshop on Laser Ranging, Poznań, Nutation Fitting for different period of nutation coefficients years, 9.3 years, 1 year, days,13.6 days N j : multiplier, F j : Delaunay parameter

16th International Workshop on Laser Ranging, Poznań, Nutation MHB2000 modelA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year days days year year own resultsA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year days days year year

16th International Workshop on Laser Ranging, Poznań, Nutation MHB2000 modelA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year days days year year own resultsA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year days days year year

16th International Workshop on Laser Ranging, Poznań, 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  UT0 and variation of latitude VOL use of determined VOL corrections in own analysis to improve the results

16th International Workshop on Laser Ranging, Poznań, Data sets of EOP (1) IERS EOP C04COMB2006 dataVLBI GPS SLR LLR optical observation VLBI GPS SLR LLR optical observation tidal effects 5 days years Defraigne and Smith (1999) 5 days - 35 days Yoder et al. (1981)

16th International Workshop on Laser Ranging, Poznań, Data sets of EOP (2) differences between IERS EOP C04 and COMB2006 xPxP yPyP  UT1

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

16th International Workshop on Laser Ranging, Poznań, Daily decomposition (2)

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

16th International Workshop on Laser Ranging, Poznań, Corrections in global adjustment use of VOL as correction in calculation

16th International Workshop on Laser Ranging, Poznań, Conclusions Long-periodic nutation coefficients -differences to the model not yet understood, further investigation needed -comparison with VLBI results Corrections for  UT0 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,