Technical description of solution usn2005c 2005 October 26 1. Purpose of solution: TRF/CRF for session EOP 2. Analysis center: USN ( United States Naval Observatory ) 3. Short narrative description of solution: Solution usn2005c estimates station position and velocity parameters to define the TRF/CRF for computing EOP time series. Source positions are also estimated. The TRF is attached to ITRF2000 by imposing no-net-rotation and no-net-translation conditions for the positions of a subset of stations and, similarly, no-net-rotation and no-net-translation conditions for the velocities of a subset of stations. The CRF is attached to the ICRF by a no-net-rotation condition using the 212 ICRF defining sources [1]. Parameters are split into three groups: a) global - parameters estimated over all sessions; b) local - parameters estimated for each 24-hour session; c) segmented - parameters estimated over 60 minute time spans. Positions and velocities of 115 stations were estimated as global parameters. Positions of 618 sources were estimated as global parameters. These 618 sources were considered eligible for estimation as global parameters based on the following criteria: 1) the source had 40 or more good observations; 2) the source was observed during two or more sessions; and 3) the source had N.R.D. less than 1.3 in preliminary solutions. Positions for an additional 159 sources (APPENDIX B) were estimated for each session independently (treated as arc parameters). These sources were selected on the criteria: 1) less than 40 good observations, or 2) observed in less than two sessions, or 3) weighted RMS position errors > 1.3 mas in R.A. or Dec. in preliminary solutions, or 4) chi-square per degree of freedom > 2.5 in R.A. or Dec in preliminary solutions. Finally, 119 sources (APPENDIX C) were excluded from the solution including. Mean site gradients were computed from a GSFC Data Assimilation Office (DAO) model for met data from 1990-95. Atmospheric gradient delay is modeled as tau = m_grad(el,az) * [GN*cos(az)+GE*sin(az)], where el and az are the elevation and azimuth of the the observation and the gradient mapping function is m_grad. The gradient vector has east and north components GE and GN. Refer to [2], [3]. 4. Estimated parameters: a. celestial frame: right ascension, declination (global and local) b. terrestrial frame: X, Y, Z, Xdot, Ydot, Zdot (global) c. Earth orientation: x, y, UT1-UTC, UT1dot, dpsi, deps (local) d. zenith troposphere: continuous piece-wise linear; 20 min interval; rate constraint generally 50 ps/hr; NMF wet partial derivative (segmented) e. troposphere gradient: 8 hour east and north piece-wise continuous at all stations except a set of 110 stations (APPENDIX C); offset constraint 0.5 mm, rate constraint 2.0 mm/day (segmented) f. station clocks: quadratic + continuous piece-wise linear with 60 min interval; rate constraint generally 5.0E-14 (segmented) g. baseline clocks: set in initial analysis - usually used (local) h. other: global antenna axis offsets for 61 stations (APPENDIX D) (global) 5. Celestial reference frame: a. a priori source positions: ICRF b. source positions adjusted in solution: yes If yes, c. definition of orientation: no-net-rotation tie to the ICRF using only ICRF defining sources d. source position estimation: 618 global and 159 local 6. Terrestrial reference frame: a. a priori station positions: ITRF2000 b. a priori station velocities: ITRF2000 c. reference epoch for site positions: 1997.0 d. station positions/velocities adjusted in solution: yes If yes, e. definition of origin, orientation, and their time evolution: no-net-translation and no-net-rotation of position with respect to ITRF2000 for 35 stations: ALGOPARK BR-VLBA DSS45 FD-VLBA FORTLEZA HARTRAO HATCREEK HAYSTACK \ HN-VLBA HOBART26 KASHIM34 KASHIMA KAUAI KOKEE KP-VLBA LA-VLBA \ MATERA MK-VLBA NL-VLBA NOTO NRAO20 NRAO85_3 NYALES20 ONSALA60 \ OV-VLBA OVRO_130 PIETOWN RICHMOND SANTIA12 SC-VLBA SESHAN25 TSUKUB32 \ VNDNBERG WESTFORD WETTZELL no-net-translation and no-net-rotation of velocity with respect to ITRF2000 for the same 35 stations: ALGOPARK BR-VLBA DSS45 FD-VLBA FORTLEZA HARTRAO HATCREEK HAYSTACK \ HN-VLBA HOBART26 KASHIM34 KASHIMA KAUAI KOKEE KP-VLBA LA-VLBA \ MATERA MK-VLBA NL-VLBA NOTO NRAO20 NRAO85_3 NYALES20 ONSALA60 \ OV-VLBA OVRO_130 PIETOWN RICHMOND SANTIA12 SC-VLBA SESHAN25 TSUKUB32 \ VNDNBERG WESTFORD WETTZELL f. station parameter estimation: X, Y, Z, Xdot, Ydot, Zdot globally for all stations, some with constraints g. stations with constraints: A priori velocity of U, E, and N components for the stations listed in APPENDIX E were constrained to the ITRF2000 velocities with reciprocal weights 0.1, 3.0, and 3.0 mm/yr respectively because the stations have too short history of observations, in many cases only one occupation. The velocities of the 23 sets of stations listed in APPENDIX F were constrained to be the same. h. stations with discontinuous positions and date of discontinuity: YAKATAGA 871201 ! Earthquake SOURDOGH 871201 ! Earthquake WHTHORSE 871201 ! Earthquake FORTORDS 891001 ! Earthquake PRESIDIO 891001 ! Earthquake MOJAVE12 920627 ! Earthquake DSS15 920627 ! Earthquake MEDICINA 960601 ! Rail repair EFLSBERG 961001 ! Rail repair DSS65 970415 ! Rail repair MIURA 000701 ! Seismic event TATEYAMA 000701 ! Seismic event GILCREEK 021103 ! Earthquake GGAO7108 030101 ! Station relocation i. stations with nonlinear velocities: An empirical model of non-linear motion of GILCREEK after 2002.11.03 Denali earthquake taken from GSFC was applied. A transient model of the non-linear motion was developed from the GILCREEK site position time series. The model was put into the form of a time series of the residual motion of GILCREEK with respect to the long-term linear rate of change before the earthquake. This series was added as a displacement model contribution in the data reduction applied in usn2005c solution. The model is given in APPENDIX G. j. relativity scale: G_oo = -(1 - (2W/c^2 + W^2/c^4) + 2L_g ) G_oa = -4W^a/c^3 G_ab = \delta_ab (1 + 2W/c^2 - 2L_g) ) Specifically, the old formula 29 in IERS Conventions 1992, page 127-136. k. permanent tide correction: yes "Yes" means that both the permanent and the periodic tides have been included in the model, so that the output station position is for after the removal of both the permanent and the periodic tidal effect. The model used includes tide displacements for zero frequency with Love numbers h2(freq=0) = 0.6074, l2(freq=0) = 0.0852 7. Earth orientation: a. a priori precession model: IERS 1996 b. a priori nutation model: IERS 1996 c. a priori short-period tidal variations in x, y, UT1 were taken into account in accordance with the model presented in APPENDIX H. d. EOP estimation: X, Y, UT1, Xdot, Ydot, UT1dot, deps, dpsi each day with a priori error of 45 mas for pole and 3 ms for UT1, 45 mas/day and 3 ms/day for pole rate and UT1 rate; deps and dpsi are relative to IAU 1976 precession and IAU 1980 nutation models. Time tag of EOP series is the middle epoch of the observing session. The model of high frequency variations in polar motion and UT1 specified in the Appendix H was added to the apriori EOP during data reduction. The reported values of polar motion and UT1 are the sum of the adjustments and the apriori EOP without contribution due to the high frequency variations. Thus, the final series of polar motion and UT1 do not contain contributions due to the high frequency variations. 8. A priori geophysical models: a. troposphere: NMF dry mapping function; Saastamoinen zenith delay calculated using logged pressure, temperature; a priori mean gradients from VLBI data or DAO weather model. b. solid Earth tide: IERS Conventions 1996, p.56-65, step 1 and step 2, anelasticity variant, including tides of the 3-rd order. c. ocean loading: 3D ocean loading displacements computed by SPOTL software. The model of displacements caused by ocean loading contains 28 constituents. The following ocean tide models were used: Harmonic Phase rad Frequency rad/sec Model Comment k2-a 1.324501D+00 1.458530140651D-04 GOT00 admittance k2 3.506941D+00 1.458423171028D-04 GOT00 s2 6.283185D+00 1.454441043329D-04 GOT00 s2-a 4.312500D-02 1.452450074576D-04 GOT00 admittance m2 2.169437D+00 1.405189027044D-04 GOT00 m2-a 1.210284D+00 1.405082057420D-04 GOT00 admittance n2 6.097067D+00 1.378796996516D-04 GOT00 k1-a 1.141827D+00 7.293185551375D-05 GOT00 admittance k1 3.324267D+00 7.292115855138D-05 GOT00 k1-b 2.365113D+00 7.291046158901D-05 GOT00 admittance p1 2.958919D+00 7.252294578148D-05 GOT00 p1-a 3.002044D+00 7.232384890619D-05 GOT00 admittance o1 5.128356D+00 6.759774415297D-05 GOT00 o1-a 1.027610D+00 6.758704719061D-05 GOT00 admittance q1 2.772800D+00 6.495854110023D-05 GOT00 q1-a 4.955240D+00 6.494784413786D-05 GOT00 admittance mtm-a 4.652212D+00 7.973314413516D-06 NAO99.l admittance mtm 5.514660D-01 7.962617451151D-06 NAO99.l mf-a 2.296657D+00 5.334111360775D-06 NAO99.l admittance mf 4.479096D+00 5.323414398410D-06 NAO99.l msf 9.721550D-01 4.925201628510D-06 NAO99.l mm 5.497148D+00 2.639203052741D-06 NAO99.l msm 4.899785D+00 2.285998575769D-06 NAO99.l ssa 3.653480D-01 3.982127698995D-07 NAO99.l paw 5.012885D+00 1.991063797295D-07 equilibrium sa 3.098467D+00 1.990968752920D-07 NAO99.l pcw 2.003605D+00 1.671771314171D-07 equilibrium 18.6 4.100746D+00 1.069696236521D-08 equilibrium d. atmosphere loading: 3D displacements computed by convolving global surface pressure field on 2.5x2.5 degrees grid with 6 hour temporal resolution using the NCEP Reanalysis model [5]. 9. Data type: group delays 10. Data editing: 6 degree elevation cutoff 11. Data weighting. Weights are defined as follows: 1/sqrt ( f**2 + a**2 ) where "f" is the formal uncertainty of the ionosphere free linear combination of group delays at X- and S-band obtained by fringe fitting on the base of achieved signal to noise ratio. Station-dependent parameter "a" was computed for each session by an iterative procedure such that the ratio of the sum of squares of the weighted residuals to the estimate of their mathematical expectation is about unity. 12. Standard errors reported: All errors are derived from least-squares estimation propagated from the data weights and the constraints applied to the troposphere, clock and EOP parameters. 13. Software: Calc 9.12, SOLVE release: 2004.10.25 14. Other information: Mean pole coordinates used for computation of pole tide deformation were set to 0.0, 0.0 References: 1. COORDINATES OF THE DEFINING SOURCES IN ICRF http://hpiers.obspm.fr/webiers/results/icrf/icrfdef.html 2. MacMillan, D.S. and C. Ma, Atmospheric gradients from very long baseline interferometry observations, Geophys. Res. Lett., 22, 1041-1044, 1995. 3. MacMillan, D.S. and C. Ma, Atmospheric gradients and the VLBI terrestrial and celestial reference frames, Geophys. Res. Lett., 24, 453-456, 1997. 4. Takashima, K., et al., "Status and Results of GSI Domestic VLBI Network", Bulletin of the Geographical survey Institute, Vol. 46, March 2000, p. 1-9. 5. Petrov, L. and J.-P. Boy, "Study of the atmospheric pressure loading signal in VLBI observations", J. Geophys. Res., 10.1029/2003JB002500, vol. 109, No. B03405, 2004. APPENDIX A. ----------- * * 618 sources considered eligible for estimation as global parameters * based on the following criteria applied to crf2005c_00: * 1) 40 or more good observations * 2) observed in 2 or more experiments (no time restriction) * 3) have NRD less than 1.28 in crf2005c_01 * 4) not a radio star * * (modified to insure all 212 ICRF Defining sources are included; see below) * 2358+189 0002-478 0003+380 0003-066 IIIZW2 0007+171 0008-264 0010+405 \ 0013-005 0014+813 0017+200 0016+731 0019+058 0021+243 0026+346 0035+413 \ 0037+139 0039+230 NGC0262 0047-579 0048-097 0048-427 NGC0315 0059+581 \ 0104-408 0106+013 0109+224 0110+495 0111+021 0112-017 0113-118 0118-272 \ 0119+115 0119+041 0123+257 0130-171 0131-522 0133+476 0135-247 0138-097 \ 0146+056 0148+274 0149+218 0150-334 0151+474 0153+744 0159+723 0201+113 \ 0202+149 0202-172 0202+319 0208-512 0212+735 0215+015 0219+428 0220-349 \ UG01841 0221+067 4C67.05 0230-790 0229+131 0235-618 0234+285 0235+164 \ 0237-027 0237+040 NGC1052 0239+108 0241+622 0252-549 0256+075 0259+121 \ 0300+470 0302-623 0302+625 NGC1218 0306+102 0308-611 0309+411 3C84 \ 0317+188 0319+121 0322+222 0326+278 0332-403 0334-546 NRAO140 0335-364 \ CTA26 0338-214 0341+158 0342+147 NRAO150 0358+210 0400-319 0400+258 \ 0402-362 0403-132 0405-385 0405-123 0405+305 0406-127 0406+121 0409+229 \ 0414-189 0420-014 0420+417 0422-380 0422+004 0423+051 0423+233 0425+048 \ 0426-380 0426+273 0430+289 0434-188 0437-454 0438-436 NRAO190 0440+345 \ 0446+112 0444+634 0454-810 0451-282 0454-234 0457+024 0458-020 0458+138 \ 0459+060 0459+135 0500+019 0502+049 0506-612 0454+844 0506+101 0507+179 \ 0508+138 0511-220 0516-621 0515+208 3C138 0522-611 0521-365 0524-460 \ 0530-727 0528-250 0528+134 0529+075 0534-340 0537-441 0537-158 0536+145 \ 0537-286 0539-057 3C147 0544+273 0549-575 0547+234 0552+398 0554+242 \ 0556+238 0600+177 0601+245 0602+405 0602+673 0605-085 0607-157 0611+131 \ 0609+607 0620+389 0615+820 0629-418 0629+160 0637-752 0637-337 0636+680 \ 3C166 0642+449 0646-306 0648-165 0650+371 0651+410 0656+082 0657+172 \ 0707+476 0711+356 0716+714 0722+145 0723-008 0718+793 0725+219 0727-115 \ 0733-174 0735+178 0738-674 0736+017 0738+313 0738+491 0743-673 0742+103 \ 0743-006 0743+259 0745+241 0748+126 0749+540 0754+100 0759+183 0805+046 \ 0805-077 0804+499 0805+410 0808+019 0812+367 0814+425 0818-128 0820+560 \ 0822+137 0821+621 0823+033 0826-373 0827+243 0829+046 0828+493 0831+557 \ 0834-201 0833+585 0834+250 0836+182 0836+710 0850+581 OJ287 0854+213 \ 0859-140 0859+470 0906+015 0912+029 0912+297 0917+449 0919-260 0917+624 \ 0920-397 0920+390 4C39.25 0925-203 0945+408 0949+354 0952+179 SN1993J \ M81 OK290 0955+476 0955+326 0954+658 1004-500 1004+141 1011+250 \ 1012+232 1012-448 1013+208 1014+615 1016-311 1020+400 1022-665 1021-006 \ 1022+194 1023+131 1030+415 1030+074 1032-199 1034-293 1038+064 1038+52A \ 1038+52B 3C245 1039+811 1042+071 1045-188 1044+719 1048-313 1049+215 \ 1053+704 1053+815 1055+018 1057-797 1101-325 1101-536 1101+384 1104-445 \ 1105-680 1104+728 1111+149 1116-462 1116+128 1123+264 1124-186 1125+596 \ 1127-145 1128+385 1128-047 1129-580 1130+009 MRK180 NGC3862 1143-696 \ 1143-245 1144+402 1144-379 1145-071 1147+245 1148-001 1148-671 1150+812 \ 1150+497 1155+251 1156-094 1156+295 1213-172 1213+350 1215+303 1216+487 \ NGC4261 1219+285 1219+044 1221+809 1222+037 M84 1226-028 1226+373 \ 3C273B 3C274 1236+077 1237-101 1239+606 1239+376 1240+381 1243-072 \ 1244-255 1245-454 1252+119 1251-713 3C279 1254+571 1255-316 1257+145 \ 1300+580 1302-102 1307+121 1308+326 1308+328 1313-333 OP326 1318+225 \ 1324+224 1325-558 1330+476 1334-127 1338+381 1342+662 1342+663 1347+539 \ 1349-439 1351-018 1352-104 1354+195 1354-174 1354-152 1357+769 1402-012 \ 1402+044 OQ208 1406-076 1409+218 1412-368 1413+135 1413+349 1416+067 \ 1418+546 1417+385 1417+273 1420+326 1420-679 1423+146 1424+366 1424+240 \ 1424-418 1427+543 1428+422 NGC5675 1430-178 1432+200 1433+304 1434+235 \ 1435+638 1435-218 OQ172 1443-162 1444+175 1445-161 1448+762 1451-375 \ 1451-400 1459+480 1502+106 1502+036 1504+377 1504-166 1508+572 1508-055 \ 1510-089 1511-100 1511-476 1514+197 1514-241 1519-273 1522+155 1532+016 \ 1538+149 1547+507 1546+027 1548+056 1551+130 1549-790 1555+001 1555-140 \ 1557+032 1600+335 1604-333 1606+106 CTD93 1611+343 1614+051 1610-771 \ 1616+063 1617+229 1619-680 1622-253 1624+416 1622-297 NGC6251 1633+38 \ 1636+473 1637+574 NRAO512 1639+230 1642+690 3C345 1647-296 DA426 \ 1656+348 1656+477 1655+077 1656+053 1657-261 1657-562 1705+456 \ 1705+018 1705+135 1706-174 1717+178 1726+455 1727+502 1725+044 NRAO530 \ 1725-795 1732+389 1734+363 1734+508 1738+499 1738+476 1739+522 1741-038 \ NGC6454 1743+173 1745+624 1746+470 1749+701 1749+096 1751+441 1751+288 \ 1754+159 1754+155 1758+388 1803+784 1800+440 1758-651 3C371 1806+456 \ 1806-458 1815-553 1817-254 1821+107 1823+568 1830+139 1830+285 1831-711 \ 3C390.3 1842+681 1843+400 1849+670 1856+736 3C395 1901+155 1908-201 \ 1920-211 1922+155 1921-293 1923+210 1928+738 1926+087 1925-610 \ 1928+154 1929+226 1932+204 1933-400 1936-155 1937-101 1935-692 1943+228 \ 1951+355 1954+513 1955+335 1954-388 1958-179 2000+472 2000+148 2000-330 \ 2007+777 2005+642 2005+403 2005-489 OW-015 2008-159 2013+163 2017+743 \ 2021+317 2022+171 2023+336 2030+547 2029+121 3C418 2037-253 CL4 \ 2051+745 2052-474 2054-377 2059+034 2059-786 2106+143 2106-413 2113+293 \ 2109-811 2121+053 2126-158 2128-123 2131-021 2134+00 2136+141 2143-156 \ 2144+092 2145+067 2149+056 2146-783 2150+173 2155-152 2155-304 \ VR422201 2201+315 2201+171 2204-540 2209+236 2210-257 2214+350 2216-038 \ 2223+210 3C446 2227-088 2229+695 CTA102 2232-488 2234+282 2233-148 \ 2235+731 2243-123 2244-372 2245-328 2250+194 3C454.3 2252-089 2253+417 \ 2254+074 2254+024 2255-282 2302+232 2312-319 2318+049 2319+272 \ 2320+506 2320-035 2321-375 2325-150 2326-477 2328+107 2329-162 2329-384 \ 2331-240 2335-027 2344+09A 2345-167 2351+456 2351-154 2353-686 2355-534 \ 2355-106 2356+385 \ * * Remaining 5 ICRF Defining sources, even though they have NRD > 1.28 or * fewer than 40 observations (1236-684) * 0248+430 0821+394 0839+187 1236-684 1718-649 * * * Sources removed from global list above to be treated as local or removed * * 1659-621 1903-802 2142-758 2300-683 * APPENDIX B. ----------- Sources whose data was not used: * * 6 sources with bad data * 0218+357 0218+35A 0218+35B 1830-211 1830-21A 1830-21B \ * * 34 sources with N.R.D. > 1.28 in crf2005c_01 * 0022-423 0056-001 0108+388 0153-410 0201+088 0237-233 0407-658 \ 0415+379 0610+260 0614-349 0710+439 0959-443 1031+567 \ 1144+352 1323+321 1345+125 1814-637 1826+796 1947+079 1950-613 \ 2021+614 2128+048 2149-306 2227-399 2300-307 2337+264 2352+495 3C120 \ 3C286 3C309.1 3C48 4C55.17 CEN-A NGC3894 \ * * 91 sources with less than 3 observations (0, 1, or 2) in crf2005c_00 * UG00192 4C+00.02 OB338 0036-216 NGC0253 0201-440 M77 0252-712 \ 0250+178 NGC1167 UXARI 0335-122 0336-017 0340+044 0411+054 0420-625 \ 0428+205 0434+299 HD32918 0515-674 0512+249 0537-692 NGC2110 0558-504 \ MRK003 NGC2146 0629+104 0647-475 0727-365 0731-465 0802-276 0806-710 \ 4C+32.26 0844+387 0902+343 0941-080 M82 NGC3079 1015-314 1017+109 \ 1020-103 1039-474 NGC3690 M106 1225-023 1239-044 1245-197 1305-241 \ NGC5077 1328+254 1329-665 1421-490 1422+268 1439+327 HD132742 1511+238 \ SIGCRB 1622+238 3C343 3C343.1 NGC6240 1709-342 1710-269 1710-323 \ 1713+218 1714-336 1729-373 1741-312 SGR-A 1742-283 1756-663 1813-241 \ 1827-360 1829-106 1848+333 1855+031 NAQL93 1920+154 1928-698 1934+207 \ 1955+343 2027+383 NGC6946 2044-168 2101-715 2134-470 2209+184 2226-411 \ 2310-417 2314+038 2322-411 \ * * 9 sources with less than 3 obs. (0, 1, or 2) in prelim. trf solution * 0622-441 0741+214 0936-853 1659-621 1740-517 1903-802 2142-758 2259-375 \ 2300-683 \ * * 3 radio stars * HD32918 HR1099 LSI61303 APPENDIX C. ----------- List of 111 stations for which troposphere gradients were not estimated: AIRA AUSTINTX AZORES BERMUDA BLKBUTTE \ BLOOMIND BREST CARNUSTY CARROLGA CHICHI10 \ CHLBOLTN CTVASBAY CTVASTJ DAITO DEADMANL \ DSS15 ELY FLAGSTAF FORTORDS FORT_ORD \ FTD_7900 GBT-VLBA GGAO7108 GIFU11 GIFU3 \ GOLDVENU GORF7102 GRASSE HALEAKAL HOFN \ HOHENFRG HOHNBERG JPL_MV1 KAINAN KANOZAN \ KARLBURG KASHIM11 KIRSBERG KODIAK KOGANEI \ KOGANEI3 KWAJAL26 LEONRDOK MAMMOTHL MARCUS \ MARPOINT MCD_7850 METSAHOV METSHOVI MIAMI20 \ MILESMON MIURA MIYAZAKI MIZNAO10 MIZUSGSI \ MOJ_7288 MON_PEAK MV2ONSLA NOBEY_6M NOME \ NRAO85_1 OCOTILLO OHIGGINS ONSALA85 OVR_7853 \ PARKES PBLOSSOM PENTICTN PINFLATS PLATTVIL \ PRESIDIO PT_REYES PVERDES QUINCY ROBLED32 \ SAGARA SANPAULA SEATTLE1 SESHAN25 SEST \ SHANGHAI SINTOTU SINTOTU3 SNDPOINT SOURDOGH \ SUWON SYOWA TATEYAMA TITIJIMA TOMAKO11 \ TOULOUSE TROMSONO TRYSILNO TIDBIN64 TIGOWTZL \ TSUKUBA TSUKU3 URUMQI USSURISK USUDA64 \ VERAMZSW VERNAL VICTORIA VLA VLA-N8 \ WHTHORSE YAKATAGA YEBES YELLOWKN YLOW7296 \ YUMA APPENDIX D. ----------- List of 61 stations for which axis offsets were estimated as global parameters: AIRA ALGOPARK BR-VLBA CHICHI10 DSS15 \ DSS45 DSS65 FD-VLBA FORTLEZA GBT-VLBA \ GGAO7108 GIFU11 GILCREEK GOLDVENU HARTRAO \ HATCREEK HAYSTACK HN-VLBA HRAS_085 KASHIM11 \ KASHIM34 KASHIMA KAUAI KOGANEI KOKEE \ KP-VLBA LA-VLBA MARPOINT MATERA MIAMI20 \ MIURA MIZNAO10 MK-VLBA MOJAVE12 NL-VLBA \ NOTO NRAO_140 NRAO20 NRAO85_1 NRAO85_3 \ OHIGGINS OV-VLBA OVRO_130 PIETOWN RICHMOND \ SANTIA12 SC-VLBA SESHAN25 SINTOTU3 SVETLOE \ TATEYAMA TIGOCONC TIGOWTZL TOMAKO11 TSUKUB32 \ URUMQI VNDNBERG WESTFORD YEBES YLOW7296 \ YUMA APPENDIX E. ----------- List of 40 stations with constraints on velocity: AUSTINTX AZORES BERMUDA BLOOMIND BREST \ CARNUSTY CARROLGA CHLBOLTN CTVASBAY CTVASTJ \ DAITO FTD_7900 GIFU3 GIFU11 GRASSE \ HOFN HOHENFRG HOHNBERG KAINAN KANOZAN \ KARLBURG KIRSBERG LEONRDOK MCD_7850 METSHOVI \ MILESMON NOBEY_6M OCOTILLO SAGARA SEST \ SUWON SVETLOE TIDBIN64 TITIJIMA TOMAKO11 \ TOULOUSE USSURISK USUDA64 VERAMZSW VICTORIA APPENDIX F. ----------- Velocities of these sets of stations were constrained to be the same: DSS15 GOLDMARS \ DSS45 TIDBIN64 \ DSS65 ROBLED32 MADRID64 \ FORTORDS FORT_ORD FTD_7900 \ GIFU11 GIFU3 \ GGAO7108 GORF7102 \ KASHIM34 KASHIM11 \ KAUAI HALEAKAL \ KOGANEI KOGANEI3 \ METSAHOV METSHOVI \ MIZNAO10 MIZUSGSI VERAMZSW \ MOJAVE12 MOJ_7288 \ NRAO20 GBT-VLBA \ NRAO_140 NRAO85_1 \ ONSALA60 MV2ONSLA ONSALA85 \ OVRO_130 OVR_7853 \ RICHMOND MIAMI20 \ SESHAN25 SHANGHAI \ SINTOTU SINTOTU3 \ TSUKUB32 TSUKU3 TSUKUBA \ PIETOWN VLA VLA-N8 \ WETTZELL TIGOWTZL \ YLOW7296 YELLOWKN APPENDIX G. ----------- EPHEDISP Format version of 2002.12.12 # #============================ Beginning of comments: =========================== # # This file contains the time series of site displacements # of a transient model of postseismic decay after the Denali # earthquake on Nov. 3, 2002. The solution parameters were # determined from site position solution dm0011gilc. # # The model has the form X1*[1 - exp(-(t-t_denali)/tau] # for E-W and for N-S motion, where the amplitude, X1, and # decay time, tau, were estimated for each horizontal # direction from time series generated in dm4005gilc. # East: X1 = 12.79 mm tau = 0.818 years # North: X1 = -22.35 mm tau = 0.620 years # No transient model was generated for the vertical. # #============================ End of comments: ================================= # # # # # sites # epochs # points # P T 3 S 1 E 124 D 124 # # First epoch of site displacements # T begin 52580 0.0 2002.11.02-00:00:00 # # Last epoch of site displacements # T end 53810 0.0 2006.03.14-00:00:00 # # Sampling interval in days T sample 10.00000000000 # # Site ID X-coord. Y-coord. Z-coord. phi-geoc. longit. height # S GILCREEK -2281547.3090 -1453645.0860 5756993.1620 64.8306 212.5025 332.8 # # Postseismic Displacement # Epoch MJD Time Calendar date Site ID Up East North # D 1 52580 .0 GILCREEK .00000 .00000 .00000 D 2 52590 .0 GILCREEK .00000 .00042 -.00097 D 3 52600 .0 GILCREEK .00000 .00083 -.00189 D 4 52610 .0 GILCREEK .00000 .00122 -.00277 D 5 52620 .0 GILCREEK .00000 .00160 -.00362 D 6 52630 .0 GILCREEK .00000 .00197 -.00443 D 7 52640 .0 GILCREEK .00000 .00233 -.00520 D 8 52650 .0 GILCREEK .00000 .00267 -.00594 D 9 52660 .0 GILCREEK .00000 .00300 -.00665 D 10 52670 .0 GILCREEK .00000 .00333 -.00733 D 11 52680 .0 GILCREEK .00000 .00364 -.00798 D 12 52690 .0 GILCREEK .00000 .00394 -.00860 D 13 52700 .0 GILCREEK .00000 .00423 -.00919 D 14 52710 .0 GILCREEK .00000 .00451 -.00976 D 15 52720 .0 GILCREEK .00000 .00478 -.01031 D 16 52730 .0 GILCREEK .00000 .00505 -.01083 D 17 52740 .0 GILCREEK .00000 .00530 -.01132 D 18 52750 .0 GILCREEK .00000 .00555 -.01180 D 19 52760 .0 GILCREEK .00000 .00579 -.01226 D 20 52770 .0 GILCREEK .00000 .00602 -.01269 D 21 52780 .0 GILCREEK .00000 .00624 -.01311 D 22 52790 .0 GILCREEK .00000 .00646 -.01351 D 23 52800 .0 GILCREEK .00000 .00666 -.01389 D 24 52810 .0 GILCREEK .00000 .00687 -.01426 D 25 52820 .0 GILCREEK .00000 .00706 -.01461 D 26 52830 .0 GILCREEK .00000 .00725 -.01494 D 27 52840 .0 GILCREEK .00000 .00743 -.01526 D 28 52850 .0 GILCREEK .00000 .00761 -.01557 D 29 52860 .0 GILCREEK .00000 .00778 -.01586 D 30 52870 .0 GILCREEK .00000 .00794 -.01614 D 31 52880 .0 GILCREEK .00000 .00810 -.01641 D 32 52890 .0 GILCREEK .00000 .00826 -.01667 D 33 52900 .0 GILCREEK .00000 .00841 -.01691 D 34 52910 .0 GILCREEK .00000 .00855 -.01715 D 35 52920 .0 GILCREEK .00000 .00869 -.01737 D 36 52930 .0 GILCREEK .00000 .00882 -.01759 D 37 52940 .0 GILCREEK .00000 .00895 -.01779 D 38 52950 .0 GILCREEK .00000 .00908 -.01799 D 39 52960 .0 GILCREEK .00000 .00920 -.01818 D 40 52970 .0 GILCREEK .00000 .00932 -.01836 D 41 52980 .0 GILCREEK .00000 .00944 -.01853 D 42 52990 .0 GILCREEK .00000 .00955 -.01869 D 43 53000 .0 GILCREEK .00000 .00965 -.01885 D 44 53010 .0 GILCREEK .00000 .00976 -.01900 D 45 53020 .0 GILCREEK .00000 .00986 -.01915 D 46 53030 .0 GILCREEK .00000 .00995 -.01929 D 47 53040 .0 GILCREEK .00000 .01005 -.01942 D 48 53050 .0 GILCREEK .00000 .01014 -.01955 D 49 53060 .0 GILCREEK .00000 .01022 -.01967 D 50 53070 .0 GILCREEK .00000 .01031 -.01978 D 51 53080 .0 GILCREEK .00000 .01039 -.01989 D 52 53090 .0 GILCREEK .00000 .01047 -.02000 D 53 53100 .0 GILCREEK .00000 .01054 -.02010 D 54 53110 .0 GILCREEK .00000 .01062 -.02020 D 55 53120 .0 GILCREEK .00000 .01069 -.02029 D 56 53130 .0 GILCREEK .00000 .01076 -.02038 D 57 53140 .0 GILCREEK .00000 .01083 -.02047 D 58 53150 .0 GILCREEK .00000 .01089 -.02055 D 59 53160 .0 GILCREEK .00000 .01095 -.02062 D 60 53170 .0 GILCREEK .00000 .01101 -.02070 D 61 53180 .0 GILCREEK .00000 .01107 -.02077 D 62 53190 .0 GILCREEK .00000 .01113 -.02084 D 63 53200 .0 GILCREEK .00000 .01118 -.02090 D 64 53210 .0 GILCREEK .00000 .01124 -.02097 D 65 53220 .0 GILCREEK .00000 .01129 -.02103 D 66 53230 .0 GILCREEK .00000 .01134 -.02108 D 67 53240 .0 GILCREEK .00000 .01138 -.02114 D 68 53250 .0 GILCREEK .00000 .01143 -.02119 D 69 53260 .0 GILCREEK .00000 .01148 -.02124 D 70 53270 .0 GILCREEK .00000 .01152 -.02129 D 71 53280 .0 GILCREEK .00000 .01156 -.02133 D 72 53290 .0 GILCREEK .00000 .01160 -.02138 D 73 53300 .0 GILCREEK .00000 .01164 -.02142 D 74 53310 .0 GILCREEK .00000 .01168 -.02146 D 75 53320 .0 GILCREEK .00000 .01171 -.02150 D 76 53330 .0 GILCREEK .00000 .01175 -.02154 D 77 53340 .0 GILCREEK .00000 .01178 -.02157 D 78 53350 .0 GILCREEK .00000 .01182 -.02160 D 79 53360 .0 GILCREEK .00000 .01185 -.02164 D 80 53370 .0 GILCREEK .00000 .01188 -.02167 D 81 53380 .0 GILCREEK .00000 .01191 -.02170 D 82 53390 .0 GILCREEK .00000 .01194 -.02173 D 83 53400 .0 GILCREEK .00000 .01197 -.02175 D 84 53410 .0 GILCREEK .00000 .01199 -.02178 D 85 53420 .0 GILCREEK .00000 .01202 -.02180 D 86 53430 .0 GILCREEK .00000 .01205 -.02183 D 87 53440 .0 GILCREEK .00000 .01207 -.02185 D 88 53450 .0 GILCREEK .00000 .01209 -.02187 D 89 53460 .0 GILCREEK .00000 .01212 -.02189 D 90 53470 .0 GILCREEK .00000 .01214 -.02191 D 91 53480 .0 GILCREEK .00000 .01216 -.02193 D 92 53490 .0 GILCREEK .00000 .01218 -.02195 D 93 53500 .0 GILCREEK .00000 .01220 -.02197 D 94 53510 .0 GILCREEK .00000 .01222 -.02198 D 95 53520 .0 GILCREEK .00000 .01224 -.02200 D 96 53530 .0 GILCREEK .00000 .01226 -.02201 D 97 53540 .0 GILCREEK .00000 .01227 -.02203 D 98 53550 .0 GILCREEK .00000 .01229 -.02204 D 99 53560 .0 GILCREEK .00000 .01231 -.02206 D 100 53570 .0 GILCREEK .00000 .01232 -.02207 D 101 53580 .0 GILCREEK .00000 .01234 -.02208 D 102 53590 .0 GILCREEK .00000 .01235 -.02209 D 103 53600 .0 GILCREEK .00000 .01237 -.02210 D 104 53610 .0 GILCREEK .00000 .01238 -.02211 D 105 53620 .0 GILCREEK .00000 .01240 -.02212 D 106 53630 .0 GILCREEK .00000 .01241 -.02213 D 107 53640 .0 GILCREEK .00000 .01242 -.02214 D 108 53650 .0 GILCREEK .00000 .01243 -.02215 D 109 53660 .0 GILCREEK .00000 .01245 -.02216 D 110 53670 .0 GILCREEK .00000 .01246 -.02217 D 111 53680 .0 GILCREEK .00000 .01247 -.02218 D 112 53690 .0 GILCREEK .00000 .01248 -.02218 D 113 53700 .0 GILCREEK .00000 .01249 -.02219 D 114 53710 .0 GILCREEK .00000 .01250 -.02220 D 115 53720 .0 GILCREEK .00000 .01251 -.02220 D 116 53730 .0 GILCREEK .00000 .01252 -.02221 D 117 53740 .0 GILCREEK .00000 .01253 -.02222 D 118 53750 .0 GILCREEK .00000 .01253 -.02222 D 119 53760 .0 GILCREEK .00000 .01254 -.02223 D 120 53770 .0 GILCREEK .00000 .01255 -.02223 D 121 53780 .0 GILCREEK .00000 .01256 -.02224 D 122 53790 .0 GILCREEK .00000 .01257 -.02224 D 123 53800 .0 GILCREEK .00000 .01257 -.02225 D 124 53810 .0 GILCREEK .00000 .01258 -.02225 # EPHEDISP Format version of 2002.12.12 APPENDIX H. ----------- Expansion of short-period variations in polar motion and UT1. 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 -----------------------------------------