0 - Technical description of solution bkg2007c.trf 1 - Technique: VLBI 2 - Analysis Centre: Federal Agency for Cartography and Geodesy (BKG) Karl-Rothe-Strasse 10-14 D-04105 Leipzig, Germany and Geodetic Institute of the University of Bonn (GIUB) Nussallee 17 D-53115 Bonn, Germany 3 - Software used: CALC 10.0, SOLVE release: 2006.12.15, Solve_revision: 2006.12.15 4 - Data span: Jan 1984 - OCT 2007 5 - Celestial Reference Frame: icrf-Ext1 a - Nature: extragalactic b - Definition of the orientation: Constraining the sum of the RA and Dec adjustments of the radio source positions for the 212 defining sources of ICRF-Ext1 catalogue to be zero (no-net-rotation) 6 - Terrestrial Reference Frame: vtrf2005 and associated vtrf2005 velocity field a - Relativity scale: Solar System Bary Center (SSB) b - Velocity of light: 299792458 m/s c - Geogravitational constant: not applicable d - Permanent tidal correction: no e - Definition of the origin: No net translation condition for 26 stations in the TRF (ALGOPARK BR-VLBA DSS45 FD-VLBA FORTLEZA HARTRAO HOBART26 KASHIM34 KASHIMA KAUAI KOKEE LA-VLBA MATERA MK-VLBA NL-VLBA NOTO NRAO20 NRAO85_3 NYALES20 ONSALA60 RICHMOND SANTIA12 SC-VLBA SESHAN25 WESTFORD WETTZELL) i.e. sum over all translations of these stations w.r.t. TRF is zero. f - Definition of the orientation: No net rotation condition for 26 stations in the TRF (ALGOPARK BR-VLBA DSS45 FD-VLBA FORTLEZA HARTRAO HOBART26 KASHIM34 KASHIMA KAUAI KOKEE LA-VLBA MATERA MK-VLBA NL-VLBA NOTO NRAO20 NRAO85_3 NYALES20 ONSALA60 RICHMOND SANTIA12 SC-VLBA SESHAN25 WESTFORD WETTZELL) i.e. sum over all rotations of these stations w.r.t. TRF is zero. g - Reference epoch: 1997.0 h - Tectonic plate model: None (TRF used as apriori) i - Constraints for time evolution: No net velocity adjustment condition in translation and rotation for 26 stations in the TRF (ALGOPARK BR-VLBA DSS45 FD-VLBA FORTLEZA HARTRAO HOBART26 KASHIM34 KASHIMA KAUAI KOKEE LA-VLBA MATERA MK-VLBA NL-VLBA NOTO NRAO20 NRAO85_3 NYALES20 ONSALA60 RICHMOND SANTIA12 SC-VLBA SESHAN25 WESTFORD WETTZELL) i.e. sum over all velocities adjustments in translation and rotation of these stations w.r.t. TRF is zero. j - VLBI antenna axis offsets: The values of the official list of VLBI antenna axis offsets issued by the IVS Analysis Coordinator (update 20070516) were used (Appendix A). 7 - Earth orientation: a - A priori precession model: IERS 2003 b - A priori nutation model: IERS 2003 c - Short-period tidal variations in x, y, UT1: a priori short-period tidal variations in x, y, UT1 were taken into account in accordance with the model presented in Appendix B. 8 - Estimated Parameters: a - Celestial Frame: right ascension and declination of all sources b - Terrestrial Frame: x0, y0, z0, xdot, ydot, zdot and coordinates series of stations BADARY, CTVASTJ, METSAHOV, DSS65A, ZELENCHK estimated in respective session, spline coefficients for stations GILCREEK, HRAS_085, PIETOWN c - Earth Orientation: xp, xpdot, yp, ypdot, UT1-UTC, UT1dot, dX, dY of CIP, dpsi, deps d - Others: - clock polynomials plus piece-wise linear functions, with rate constraints of 5.E-14, - wet zenith tropospheric delays as 60 min piece-wise linear functions, with rate constraints generally of 50 psec/hr, VMF1 wet partial derivative (segmented) - troposphere gradients, offset constraint 0.5 mm, rate constraint 2.0 mm/day Appendix A. ----------- The official list of VLBI antenna axis offsets issued by the IVS Analysis Coordinator $$ IVS VLBI Antenna Axis Offsets, Status May 16, 2007 $$ 070515 Format and units changed to match Solve flyby format $$ 051220 BADARY and ZELENCHK added $$ 050111 URUMQI, MIAMI20, MIZNAO10, OVRO 130 recommended to set to zero. $$ 050106 HOBART26 measured locally by John Dawson $$ $$ Data Format: $$ $$ Field 1:8 A8 IVS station name $$ Field 11:17 blank $$ Field 22:28 F7.4 offset in meters $$ Field 33:38 F6.4 Formal uncertainty of the estimate from VLBI solution $$ or from measurements in meters. May be empty if value $$ is not available $$ Field 40:79 A40 Comment $$ $$ $$ --------------------------------------------------- $$ Axis offsets as measured locally with high accuracy $$ --------------------------------------------------- $$ $$ BADARY and ZELENCHK reported by Zinovy Malkin, Dec. 20, 2005, $$ from geodetic measurements in Nov-Dec 2005 $$ CRIMEA, -1.8 +- 0.2 mm measured by Samoilenko 1994. $$ Samoilenko A.N. (1996): Local geodetic network at Simeiz $$ geodynamical test area (in Russian), Preprint GAO-96-1P, Kiev $$ EFLSBERG measured by Miebach/Werntgen, Bonn, 1980 $$ HARTRAO reported by Ludwig Combrinck: Conventional survey 1993 $$ (6695 +- 3 mm) and GPS survey 1995 (6695.6 +- 2.3 mm) $$ HOBART26 reported by John Dawson via Oleg Titov, 2005 $$ MEDICINA reported by Pierguido Sarti, 2004 $$ NYALES20 published by Steinforth et al. (2003) 16th Working Meeting $$ on European VLBI, 524.2 +- 0.2 mm $$ ONSALA60 published by Eschelbach & Haas (2003) 16th Working Meeting $$ on European VLBI, -6.0 +- 0.4 mm (negative sign corrected) $$ OHIGGINS reported by Andreas Reinhold/Gerald Engelhardt BKG, 2004, $$ on the basis of local measurements $$ TIGOCONC reported by Hayo Hase BKG, 2004 on the basis of local measurements $$ TIGOWTZL reported by Hayo Hase BKG, 2004 on the basis of local measurements $$ WETTZELL confirmed through several local measurements, reported $$ by W. Schlueter $$ $$ offset sigma BADARY 0.0025 0.0005 CRIMEA -0.0018 0.0002 EFLSBERG 0.0103 0.0010 HARTRAO 6.6953 0.0023 HOBART26 8.1913 0.0015 MEDICINA 1.8301 0.9999 error unknown NYALES20 0.5242 0.0002 ONSALA60 -0.0060 0.0004 OHIGGINS 0.0000 0.9999 error unknown TIGOCONC 0.0000 0.0003 TIGOWTZL 0.0000 0.0003 WETTZELL 0.0000 0.0001 ZELENCHK -0.0115 0.0005 $$ $$ $$ $$ -------------------------------------- $$ Axis offsets still under investigation $$ -------------------------------------- $$ $$ The following are axis offsets which have been estimated by $$ Leonid Petrov, GSFC. A couple of entries have been corrected manually $$ when identical antennas had various names, e.g. NRAO85 3 -> LEFT85 3, etc. $$ N.B.: In cases where axis offsets have been measured accurately it has $$ happened that the (test) estimates were way off the measured values. $$ So, handle these estimates with care. They are only valid until offsets $$ have been measured locally. $$ Nevertheless, in the absence of more reliable figures these are the $$ recommended values. $$ $$ offset sigma AIRA -0.0126 -+ 0.0022 ALASKANO 7.2850 -+ 0.0001 ALGOPARK 0.0014 -+ 0.0004 ATCA_014 0.0000 AUSTINTX 0.0000 AZORES 0.0000 BERMUDA 0.0000 BLKBUTTE 0.0000 BLOOMIND 0.0000 BR-VLBA 2.1306 -+ 0.0003 BREST 0.0000 CARNUSTY 0.0000 CARROLGA 0.0000 CEDUNA 0.0000 CHICHI10 -0.0025 -+ 0.0023 CHLBOLTN 0.3060 CTVASBAY 0.0000 CTVASTJ 0.0011 -+ 0.0048 DAITO 0.0000 DEADMANL 0.0000 DSS13 0.0000 DSS15 -0.0039 -+ 0.0015 DSS45 -0.0013 -+ 0.0018 DSS65 -0.0026 -+ 0.0009 DSS65A -0.0026 -+ 0.0009 ELY 0.0000 FD-VLBA 2.1324 -+ 0.0003 FLAGSTAF 0.0000 FORT ORD 0.0000 FORTLEZA 0.0060 -+ 0.0006 FORTORDS 0.0000 FTD 7900 0.0000 GBT-VLBA -0.0883 -+ 0.0066 GGAO7108 -0.0021 -+ 0.0024 GIFU11 -0.0072 -+ 0.0036 GIFU3 0.0000 GILCREEK 7.2850 -+ 0.0001 GOLDECHO 6.7060 GOLDMARS 0.0000 GOLDVENU 0.9295 -+ 0.0060 GORF7102 0.0000 GRASSE 0.0000 HALEAKAL 0.0000 HATCREEK -0.0097 -+ 0.0011 HAYSTACK 0.0000 -+ 0.0014 HN-VLBA 2.1295 -+ 0.0004 HOFN 0.0000 HOHENFRG 0.0000 HOHNBERG 0.0000 HRAS 085 6.7007 -+ 0.0006 JPL MV1 0.0000 KAINAN 0.0000 KALYAZIN 2.2000 KANOZAN 0.0000 KARLBURG 0.0000 KASHIM11 0.0013 -+ 0.0023 KASHIM34 -0.0090 -+ 0.0014 KASHIMA -0.0023 -+ 0.0011 KAUAI 2.4350 -+ 0.0005 KIRSBERG 0.0000 KODIAK 0.0000 KOGANEI 0.0077 -+ 0.0023 KOGANEI3 0.0000 KOKEE 0.5182 -+ 0.0003 KP-VLBA 2.1327 -+ 0.0003 KWAJAL26 0.0000 LA-VLBA 2.1329 -+ 0.0003 LEFT85 1 6.7074 -+ 0.0058 LEFT85 3 6.7076 -+ 0.0003 LEFTKOK 0.5182 -+ 0.0003 LEONRDOK 0.0000 MADRID64 0.0000 MAMMOTHL 0.0000 MARCUS 0.0000 MARPOINT 6.6887 -+ 0.0042 MATERA -0.0038 -+ 0.0004 MCD 7850 0.0000 METSAHOV 0.0051 -+ 0.0037 METSHOVI 0.0000 MIAMI20 0.0068 -+ 0.0050 MILESMON 0.0000 MIURA 0.0065 -+ 0.0024 MIYAZAKI 0.0000 MIZNAO10 -0.0013 -+ 0.0068 MIZUSGSI 0.0000 MK-VLBA 2.1343 -+ 0.0005 MOJ 7288 0.0000 MOJAVE12 -0.0031 -+ 0.0003 MOJAVLBA 0.0000 MON PEAK 0.0000 MOPRA 7.0000 MV2ONSLA 0.0000 NL-VLBA 2.1296 -+ 0.0003 NOBEY 6M 0.0000 NOBEYAMA 0.0000 NOME 0.0000 NOTO 1.8310 -+ 0.0009 NOTOX 1.8310 -+ 0.0009 NRAO 140 14.9398 -+ 0.0011 NRAO20 0.5091 -+ 0.0004 NRAO85 1 6.7074 -+ 0.0058 NRAO85 3 6.7076 -+ 0.0003 OCOTILLO 0.0000 ONSALA85 2.1500 OV-VLBA 2.1323 -+ 0.0003 OVR 7853 0.0000 OVRO 130 0.0106 -+ 0.0022 OVRO 90 0.0000 PARKES -0.0310 -+ 0.0089 PBLOSSOM 0.0000 PENTICTN 0.0000 PIETOWN 2.1377 -+ 0.0003 PINFLATS 0.0000 PLATTVIL 0.0000 PRESIDIO 0.0000 PT REYES 0.0000 PVERDES 0.0000 QUINCY 0.0000 RICHMOND 5.1822 -+ 0.0005 ROBLED32 6.7060 SAGARA 0.0000 SANPAULA 0.0000 SANTIA12 0.0023 -+ 0.0013 SC-VLBA 2.1337 -+ 0.0006 SEATTLE1 0.0000 SESHAN25 0.0001 -+ 0.0012 SEST 0.0000 SHANGHAI 1.1170 SINTOTU 0.0000 SINTOTU3 -0.0030 -+ 0.0054 SNDPOINT 0.0000 SOURDOGH 0.0000 SUWON 0.0000 SVETLOE -0.0096 -+ 0.0007 SYOWA -0.0056 -+ 0.0079 TATEYAMA 0.0069 -+ 0.0024 TIDBIN64 0.0000 TITIJIMA 0.0000 TOMAKO11 -0.0004 -+ 0.0083 TOULOUSE 0.0000 TROMSONO 0.0000 TRYSILNO 0.0000 TSUKU3 0.0000 TSUKUB32 0.0006 -+ 0.0005 TSUKUBA 0.0000 URUMQI -0.0057 -+ 0.0020 USSURISK 4.0000 USUDA64 0.0000 VANDENBG 0.0000 VERAIRIK 0.0000 VERAISGK 0.0000 VERAMZSW -0.0108 -+ 0.0038 VERAOGSW 0.0000 VERNAL 0.0000 VICTORIA 0.0000 VLA 0.0000 VLA-N8 0.0000 VLBA85 3 6.7076 -+ 0.0003 VNDNBERG -0.0029 -+ 0.0019 WESTFORD 0.3163 -+ 0.0002 WHTHORSE 0.0000 WIDE85 3 6.7076 -+ 0.0003 YAKATAGA 0.0000 YAMAGUCH 0.0000 YEBES -0.0005 -+ 0.0028 YELLOWKN 0.0000 YLOW7296 0.0070 -+ 0.0024 YUMA -0.0179 -+ 0.0097 ---------------------------------------- Appendix B. ----------- A priori short-period tidal variations in polar motion and UT1. (GSFC hf1102a.txt) UT1 tidal terms (microseconds) l l' F D Om GST | Cos | Sin | +pi | | | ----------------------------------------- 2 0 2 0 2 -1 -.13 -1.24 0 0 2 2 2 -1 .19 -.82 1 0 2 0 1 -1 -.50 -.92 1 0 2 0 2 -1 -2.64 -4.90 -1 0 2 2 2 -1 -1.10 -.77 0 0 2 0 1 -1 -2.51 -3.34 0 0 2 0 2 -1 -13.31 -17.72 -1 0 2 0 2 -1 .34 .63 1 0 0 0 0 -1 .48 .77 0 1 2 -2 2 -1 -.21 -.43 0 0 2 -2 2 -1 -3.20 -5.32 0 1 0 0 0 -1 .50 1.89 0 0 0 0 -1 -1 -.19 -.33 0 0 0 0 0 -1 9.83 16.45 0 0 0 0 1 -1 1.33 2.23 0 -1 0 0 0 -1 -.17 .41 0 0 -2 2 -2 -1 .08 -.04 -1 0 0 0 0 -1 .13 1.25 0 0 -2 0 -2 -1 .68 .33 0 0 -2 0 -1 -1 .44 .21 -1 0 -2 0 -2 -1 .18 .75 -1 0 -2 0 -1 -1 .12 .48 2 0 2 0 2 -2 -.30 .61 0 0 2 2 2 -2 -.83 .47 1 0 2 0 2 -2 -1.94 3.13 -1 0 2 2 2 -2 -.19 .67 0 0 2 0 1 -2 .37 -.57 0 0 2 0 2 -2 -9.88 15.37 -1 0 2 0 2 -2 .12 -.34 0 1 2 -2 2 -2 -.06 .17 0 0 2 -2 2 -2 -1.25 7.73 0 1 0 0 0 -2 .24 .27 0 0 0 0 0 -2 .28 2.48 0 0 0 0 1 -2 .08 .74 0 0 3 0 3 -3 .24 .03 0 0 0 4 1 -1 .26 .10 1 0 4 -2 2 -1 .43 -.52 0 0 0 1 0 -1 -.29 -.23 3 -1 2 0 2 -2 .14 .00 1 1 2 0 1 -2 -.26 -.40 0 0 0 -2 2 -2 .23 .09 ----------------------------------------- Polar motion tidal terms (microarcseconds) l l' F D Om GST | Cos | Sin | +pi | | | ----------------------------------------- -2 0 -2 0 -2 1 -6.90 5.52 0 0 -2 -2 -2 1 -8.63 3.00 -1 0 -2 0 -1 1 -5.58 1.48 -1 0 -2 0 -2 1 -29.56 7.83 1 0 -2 -2 -2 1 -7.86 3.64 0 0 -2 0 -1 1 -25.03 8.53 0 0 -2 0 -2 1 -132.70 45.21 1 0 -2 0 -2 1 2.59 .60 -1 0 0 0 0 1 3.26 -8.76 0 -1 -2 2 -2 1 1.25 9.68 0 0 -2 2 -2 1 -49.40 19.23 0 -1 0 0 0 1 25.06 6.71 0 0 0 0 1 1 -3.09 1.76 0 0 0 0 0 1 156.21 -88.75 0 0 0 0 -1 1 21.18 -12.04 0 1 0 0 0 1 4.99 .50 0 0 2 -2 2 1 3.25 2.62 1 0 0 0 0 1 .51 -4.99 0 0 2 0 2 1 5.93 -10.38 0 0 2 0 1 1 3.80 -6.65 1 0 2 0 2 1 .46 .59 1 0 2 0 1 1 .30 .37 -2 0 -2 0 -2 2 4.13 -.28 0 0 -2 -2 -2 2 -1.37 .40 -1 0 -2 0 -2 2 10.48 -12.69 1 0 -2 -2 -2 2 4.33 1.81 0 0 -2 0 -1 2 -1.06 2.12 0 0 -2 0 -2 2 28.34 -56.83 1 0 -2 0 -2 2 1.92 .54 0 -1 -2 2 -2 2 5.42 -4.28 0 0 -2 2 -2 2 -.48 -20.16 0 -1 0 0 0 2 2.61 1.85 0 0 0 0 0 2 -.83 -18.26 0 0 0 0 -1 2 -.25 -5.44 0 0 -3 0 -3 3 1.92 -1.16 0 0 0 -4 -1 1 5.23 -1.47 -1 0 -4 2 -2 1 -1.28 -3.62 0 0 0 -1 0 1 2.33 -2.61 -3 1 -2 0 -2 2 -.88 -1.13 -1 -1 -2 0 -1 2 .24 .00 0 0 0 2 -2 2 .05 -1.31 2 0 2 0 2 -2 2.33 7.19 0 0 2 2 2 -2 2.87 7.66 1 0 2 0 2 -2 .59 43.62 -1 0 2 2 2 -2 -3.07 8.30 0 0 2 0 1 -2 .50 -9.59 0 0 2 0 2 -2 -13.37 257.07 -1 0 2 0 2 -2 1.83 -7.67 0 1 2 -2 2 -2 -7.08 .33 0 0 2 -2 2 -2 -72.53 106.95 0 1 0 0 0 -2 .34 -4.29 0 0 0 0 0 -2 -18.74 12.64 0 0 0 0 1 -2 -5.59 3.77 0 0 3 0 3 -3 -.56 -1.57 3 -1 2 0 2 -2 -.98 4.60 1 1 2 0 1 -2 -.62 4.28 0 0 0 -2 2 -2 -.83 2.72 -----------------------------------------