Baumann, Christian

Beutler, Gerhard

Dach, Rolf

Jäggi, Adrian

Sosnica, Krzysztof Jakub

Thaller, Daniela

Bern Open Repository and Information System (BORIS)

Astronomical Institute University of Bern(1) Astronomical Institute, University of Bern, Switzerland(2) Bundesamt für Kartographie und Geodäsie, Frankfurt am Main, Germany18th International Workshop on Laser Ranging11-15 November 2013    Fujiyoshida, JapanSLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAIKrzysztof Sośnica (1), Adrian Jäggi (1), Daniela Thaller (2), Gerhard Beutler (1),Rolf Dach (1), Christian Baumann (1)source: http://boris.unibe.ch/44261/ | downloaded: 13.3.2017Slide 2 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Motivation Current ILRS products: LAGEOS-1/2 & Etalon-1/2 solutions only, On average ~3000 normal points to LAGEOS-1/2 and ~300 normal points to Etalon-1/2 per week, The impact of Etalon-1/2 on the solution is virtually negligibleStarletteSee poster sessionfor LARES solutionsSlide 3 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Motivation LAGEOS-1 LAGEOS-2 AJISAI Starlette StellaNo of normal points per week 1500 1500 3000 1600 800LAGEOS-1/2 LEO CombinedNo of stations per week 19.8 21.1 22.4Number of SLR stations observingsatellites per weekNumber of SLR observationsof geodetic satellites per weekSlide 4 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan SLR solutions in the Bernese GNSS SoftwareLAGEOS 1: LAGEOS 2:10 years of processed data (2002-2012)Bernese GNSS Software, v.5.3Parameter LAGEOS LEO Station Coordinates Weekly Weekly Earth Rotation Parameters PWL daily PWL daily Geocenter Coordinates Weekly Weekly Gravity field Up to d/o 4 Up to d/o 4 Range Biases Selected stations All stations Orbit Osculating Elements Weekly Weekly Constant along-track S0 Weekly - Air Drag Scaling Factor - Daily Once-per-rev SS, SC Weekly Daily Once-per-rev WS, WC Weekly (when not estimating gravity field)  Daily Pseudo-Stochastic Pulses - Once-per-rev in along-track  Slide 5 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan ScaleTRF scale estimated from the Helmert 7-parameter transformation of weekly SLR solutionsOrbit modeling deficiencies related to non-gravitational forces appear as the periods of the draconitic year.Draconitic year is a time interval between two consecutive passes of the Sun through the orbital plane of a satellite (in the same direction).Draconitic years of geodetic satellites: 222 days: LAGEOS-2, 560 days: LAGEOS-1, 89 days: AJISAI, 73 days: Starlette, 182 days: Stella.Annual signal is preserved  ↓ Draconitic year of LAGEOS-2 ↓ Scale of the reference frame w.r.t. SLRF2008 (ITRF2008)Slide 6 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Geocenter coordinatesThe origin of the reference frame (geocenter coordinates) are best defined by the SLR technique. The X and Y components can be also defined by other techniques, e.g., DORIS, GNSS, but the Z component is strongly affected by the deficiencies in the solar radiation pressure modeling, and thus, can only be established by the SLR solutions*.The LAGEOS-1/2 solutions or the Star+Ste+Aji solutions show very smallorbit modeling deficiencies (draconitic year of LAGEOS-2 and Ajisai). All amplitudes related to draconitic years are substantially reduced in the combined solutions.* see Meindl et al. (2013) Geocenter coordinates estimated from GNSS data as viewed by perturbation theory. Advances in Space Research, Volume 51, Issue 7, p. 1047-1064Draconitic year of LAGEOS-2 (222 d) ↓ Draconitic year of AJISAI (89 d) ↑ Slide 7 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Weekly repeatabilities of station coordinates3D repetability of SLR station coordinates-0.02-0.010.000.010.020.030.0470907840783972377810711070807105883478247832794175017825783878417405724974037406712478117119782118737358783772107835Difference between repeatibility in the LAGEOS solution  _  and in the combined solution [m]dUdNdEBetter repeatability in combined solutionStation coordinate repeatability in LAGEOS-1/2 and the combined solutionsStations ordered by increasing number of weekly solutionsThe station repeatability is improved in the combined solutions for East and North components of non-core SLR station Slide 8 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan CorrelationsStation coordinates Earth rotation parametersGeopotentialparametersStation coordinatesEarth rotation parametersGeopotCorrelation coefficients between selected parameters.Estimated parameters (ERPs, geopotential, station coordinates) can be substantially decorrelated when using many SLR satellites, due to: better observation geometry, larger number of SLR observations, different orbital characteristics (altitudes, inclination angles, eccentricities). Station coordinates Earth rotation parametersGeopotentialparametersSlide 9 Astronomical Institute University of BernEarth Rotation Parameters (w.r.t. IERS-08-C04)Simultaneous estimation of all parameters (gravity field+station coord+ERPs+orbits)is beneficial for SLR solutions (in particular for combined L1/L2/Sta/Ste/Aji solutions).Sośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, JapanSlide 10 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Gravity field parametersC20 can be well-established from LAGEOS-1/2 solutions, but the amplitude of annual signal is by 20% larger than in the multi-SLR solutions.C30 from LAGEOS-1/2 shows a clear alias period with draconitic year of LA-2.Draconitic year of LAGEOS-2 ↕ Slide 11 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Gravity field parametersDraconitic year of LAGEOS-2 ↓ ↓ 3rd harmonic of LA-2draconitic year↓ 3rd harmonic of LA-1draconitic yearGravity field parameters (besides C20) can be much better established from the multi-SLR solutions (in particular for degree higher than 2). LAGEOS-1/2 solution reveals variations related to the draconitic years or their harmonics.Slide 12 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan SummaryAdvantages of the multi-SLR solutions : The estimated parameters can be substantially decorrelated. The observation geometry is improved. Orbit modeling deficiencies of non-gravitational forces (solar radiation pressure, albedo, Earth’s infrared radiation, the Yarkovskyeffect, the Yarkovsky-Schach effect, light aberration, etc.) can be reduced. As a result, the terrestrial reference frame parameters (scale, geocenter coordinates, ERPs) can be better established. The repeatability of some SLR station coordinates can be improved.Disadvantages of the multi-SLR solutions: The repeatability of some of best-performing SLR station coordinates is slightly worse w.r.t. the LAGEOS-1/2 solutions, High-quality solutions of low orbiting satellites require more user’s attention (screening process and the orbit modeling optimization). Astronomical Institute University of Bern(1) Astronomical Institute, University of Bern, Switzerland(2) Bundesamt für Kartographie und Geodäsie, Frankfurt am Main, Germany18th International Workshop on Laser Ranging11-15 November 2013    Fujiyoshida, JapanThank you for your attentionSlide 14 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Single-satellite solutions Aposteriori sigma of unit weight [mm] Mean number of observation per week X pole bias [μas] X pole WRMS[μas] Y pole  bias [μas] Y pole  WRMS [μas] LoD bias [μs] LoD WRMS [μs] AJISAI 6.31 3011 36.4 266.3 3.6 233.9 -17.3 108.5 Starlette 6.45 1697 21.8 339.5 -6.5 290.5 -18.0 133.0 Stella 6.03 813 120.0 901.6 -11.8 829.0 9.6 110.7 AJISAI+Starlette 6.85 4708 32.0 207.3 -3.0 184.4 -35.2 136.9 AJISAI+Stella 7.24 3824 71.8 304.4 -3.8 256.6 -1.0 93.1 Starlette+Stella 7.62 2510 75.2 365.2 -19.1 291.5 -3.7 99.4 All satellites 7.78 5521 57.7 269.8 -8.7 218.1 -3.6 106.5 Stella leads to worse Coordinates, but LoD is improvedSlide 15 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan Geocenter coordinatesThe Y geocenter component from the multi-SLR solution shows large annual variations and a secular drift, whose origin remains unclear. Nevertheless, the combined solutions are slightly less noisy than the LAGEOS-1/2 solutions.Slide 16 Astronomical Institute University of BernSośnica et al.:  SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI. 18th International Workshop on Laser Ranging, Fujiyoshida, Japan ReferencesReferences: Beutler G (2005) Methods of Celestial Mechanics. Volume II: Application to Planetary System, Geodynamics and Satellite Geodesy. Springer Verlag. ISBN 978-3-540-26512-2. Dach R, Hugentobler U, Fridez P, Meindl M (2007) Bernese GPS Software Version 5.0. Astronomical Institute, University of Bern, Switzerland. Jäggi A, Sośnica K, Thaller D, Beutler G (2012) Validation and estimation of low-degree gravity  field coefficients using LAGEOS. Proceedings of 17th ILRS Workshop, Bundesamt für Kartographie und Geodäsie, 48, Frankfurt, 2012. Michael M, Beutler G, Thaller D, Dach R, Jäggi A (2013) Geocenter coordinates estimated from GNSS data as viewed by perturbation theory. Advances in Space Research, Volume 51, Issue 7, p. 1047-1064. Rodriguez-Solano CJ, Hugentobler U, Steigenberger P, Lutz S (2012) Impact of Earth radiation pressure on GPS position estimates. J Geod 86(5):309-317. doi: 10.1007/s00190-011-0517-4. Sośnica K, Thaller D, Dach R, Jäggi A, Beutler G (2013) Impact of atmospheric pressure loading on SLR-derived products and on the consistency between GNSS and SLR results. Journal of Geodesy 87 (8), 751-769. DOI: 10.1007/s00190-013-0644-1. Sośnica K, Thaller D, Dach R, Jäggi A, Beutler G (2013)  Contribution of Starlette, Stella, and AJISAI to the SLR-derived global reference frame.  Journal of Geodesy (submitted manuscript). Sośnica K, Thaller D, Jäggi A, Dach R, Beutler G (2012) Sensitivity of Lageos Orbits to Global Gravity Field Models. Art Sat, 47(2), pp. 35-79. doi:10.2478/v10018-012-0013-y. Sośnica K, Thaller D, Jäggi A, Dach R, Beutler G (2012) Can we improve LAGEOS solutions by combining with LEO satellites? Proceedings of the International Technical Laser Workshop 2012 (ITLW-12), Frascati (Rome), Italy, November 5-9, 2012. Sośnica K, Thaller D, Dach R, Jäggi A, Beutler G (2013) Time variable Earth's gravity  field from SLR data. Advances in Space Research (to be submitted). Sośnica K,  Jäggi A, Thaller D, Meyer U, Beutler G, Dach R (2013) Earth gravity field recovery using GPS, GLONASS, and SLR satellites. 18th International Workshop on Laser Ranging, 11-15 November 2013 Fujiyoshida, Japan. Thaller D, Sośnica K, Dach R, Jäggi A, Beutler G (2011) LAGEOS-ETALON solutions using the Bernese Software. Mitteilungen des Bundesamtes fuer Kartographie und Geodäsie, Proceedings of the 17th International Workshop on Laser Ranging, Extending the Range, Bad Kötzting, Germany, May 16- 20, 2011, vol. 48, pp.333-336, Frankfurt. Thaller D, Sośnica K, Mareyen M , Dach R, Jäggi A, Beutler G (2013) Geodetic parameters estimated from LAGEOS and Etalon data and comparison to GNSS-estimates. Journal of Geodesy (submitted manuscript). Thaller D, Sośnica K, Dach R, Jäggi A, Beutler G, Mareyen M,  Richter B (2013) Geocenter coordinates from GNSS and combined GNSS-SLR solutions using satellite co-locations. IAG Symposia Series 139.

SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI

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SLR-derived terrestrial reference frame using observations to LAGEOS-1/2, Starlette, Stella, and AJISAI

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