0 - Technical description of solution bkg2006c.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: 2006.07.19 4 - Data span: Jan 1984 - Oct 2006 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: vtrf2003 and associated vtrf2003 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 20050106) 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 CTVASTJ, METSAHOV, DSS65A, ZELENCHK estimated in respective session 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 - 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 all values in mm last update: 20050106 UTC $$ $$ Axis offsets as measured locally with high accuracy $$ $$ CRIMEA, source unknown, -1.8 +- 0.2 reported by Dan MacMillan, 2004 $$ EFLSBERG measured by Miebach/Werntgen, Bonn, 1980 $$ HARTRAO reported by Ludwig Combrinck: Conventional survey 1993 $$ (6695 +- 3 mm) and GPS survey 1995 (6695.6 +- 2.3 mm) $$ HOBART26 measured by John Dawson, mail from A.Nothnagel 2005/01/06 $$ MEDICINA reported by Pierguido Sarti, 2004 $$ 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 $$ by W. Schlueter $$ $$ offset sigma CRIMEA -1.8 0.2 mm EFLSBERG 10.3 1.0 mm HARTRAO 6695.3 2.3 HOBART26 8191.3 1.5 mm MEDICINA 1830.1 NYALES20 524.2 0.2 mm ONSALA60 -6.0 0.4 mm OHIGGINS 0.0 TIGOCONC 0.0 0.3 mm TIGOWTZL 0.0 0.3 mm WETTZELL 0.0 0.1 mm $$ $$ $$ $$ Axis offsets still under investigation $$ -------------------------------------- $$ $$ The following are axis offsets which have been estimated by two $$ groups, GSFC (Dan MacMillan) and BKG (Gerald Engelhardt). The values $$ listed here are the weighted means. $$ N.B.: In cases where axis offsets have been measured accurately it has $$ 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. $$ $$ offset sigma ALGOPARK 1.29 0.32 BR-VLBA 2131.45 0.23 DSS15 -3.91 1.24 DSS45 -4.05 1.28 DSS65 -2.03 0.70 FD-VLBA 2132.02 0.22 FORTLEZA 6.37 0.52 GILCREEK 7290.23 0.08 GOLDVENU 929.47 4.46 HATCREEK -11.71 1.12 HAYSTACK -2.03 0.99 HN-VLBA 2129.50 0.27 HRAS 085 6701.82 0.44 KASHIM34 -11.86 1.31 KASHIMA -4.79 0.88 KAUAI 2436.41 0.40 KOKEE 520.81 0.28 KP-VLBA 2131.97 0.22 LA-VLBA 2132.75 0.19 MARPOINT 6695.92 3.22 MATERA -5.00 0.35 MK-VLBA 2135.03 0.34 MOJAVE12 -3.29 0.21 NL-VLBA 2129.19 0.21 NOTO 1830.78 0.76 NRAO 140 14950.11 0.73 NRAO20 508.99 0.30 NRAO85 3 6711.77 0.25 OV-VLBA 2131.88 0.22 PIETOWN 2137.18 0.20 RICHMOND 5184.14 0.41 SANTIA12 -0.04 1.01 SC-VLBA 2133.46 0.43 SESHAN25 3.43 1.10 SVETLOE -12.53 1.67 TSUKUB32 0.01 0.52 WESTFORD 316.75 0.18 YEBES -1.61 2.07 ---------------------------------------- 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 -----------------------------------------