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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 on theme: "Institut for Geodesy Research Unit Earth Rotation and Global Dynamic Processes Earth Orientation Parameters from Lunar Laser Ranging Liliane Biskupek Jürgen."— Presentation transcript:

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

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

3 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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

4 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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

5 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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

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

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

8 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 Nutation MHB2000 modelA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year-17206.429205.233.341.54 182.6 days-1317.09573.03-1.37-0.46 13.6 days-227.6497.850.280.14 9.3 year207.46-89.75-0.07-0.03 1 year147.597.391.18-0.19 own resultsA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year-17201.939203.413.843.88 182.6 days-1316.88572.98-3.25-0.98 13.6 days-230.5499.260.160.31 9.3 year207.13-90.751.63-0.21 1 year146.837.860.27-0.58

9 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 Nutation MHB2000 modelA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year-17206.429205.233.341.54 182.6 days-1317.09573.03-1.37-0.46 13.6 days-227.6497.850.280.14 9.3 year207.46-89.75-0.07-0.03 1 year147.597.391.18-0.19 own resultsA i [mas]B i [mas]A i ’’ [mas]B i ’’ [mas] 18.6 year-17201.939203.413.843.88 182.6 days-1316.88572.98-3.25-0.98 13.6 days-230.5499.260.160.31 9.3 year207.13-90.751.63-0.21 1 year146.837.860.27-0.58

10 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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

11 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 Data sets of EOP (1) IERS EOP C04COMB2006 dataVLBI GPS SLR LLR optical observation VLBI GPS SLR LLR optical observation tidal effects 5 days - 18.6 years Defraigne and Smith (1999) 5 days - 35 days Yoder et al. (1981)

12 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 Data sets of EOP (2) differences between IERS EOP C04 and COMB2006 xPxP yPyP  UT1

13 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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)

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

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

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

17 16th International Workshop on Laser Ranging, Poznań, 13.10. - 17.10.2008 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

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

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