Technical description of solution 2006a_astro 1. Purpose of solution: Source catalogue 2. Analysis center: GSF ( NASA Goddard Space Flight Center ) 3. Short narrative description of solution: Solution 2006a_astro estimates station position and velocity parameters in order to obtain a terrestrial reference frame (TRF) for computing EOP time series. Source positions are also estimated. The TRF is defined in such a manner that the positions and velocities of a subset of 35 strong stations have no net translation with respect to positions and velocities of these stations reported in the ITRF2000 catalogue and the resulting series of the Earth orientation parameters has zero shift and drift with respect to the USNO Finals series at the range [1997.01.01, 2006.06.01]. The CRF is defined in such a way that positions of 212 sources, marked as defining source in the ICRF catalogue [1], do not have net rotation with respect to the coordinates reported in this catalogue. All available dual-band Mark-3/Mark-4/Mark-5 VLBI observations from 1979.08.03 through 2006.06.22 (except 3 gravity sessions and 7 K/Q band experiments ) -- 4201 sessions with duration 18 hours and longer, 5,388,179 group delays -- were used in a single solution. The wrms of postfit residuals is 22.882 psec and chi-sq/ndg = 0.944 Parameters are split into three groups: 1) global parameters estimated over all sessions; 2) local parameters estimated for each 24-hour session individually; 3) segmented parameters estimated over 20-60 minute time spans. Positions and velocities of all stations were estimated as global parameters. Positions of 3565 sources were estimated as global parameters. Mean site gradients were computed from the GSFC Data Assimilation Office (DAO) model from met data from 1990-95. The atmospheric gradient delay is modeled as tau = m_grad(el) * [GN*cos(az)+GE*sin(az)], where el and az are the elevation and azimuth of the observation and the gradient mapping function is m_grad. The gradient vector has east and north components GE and GN. Refer to [2] and [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-TAI, xdot, ydot, UT1dot, dpsi, deps (local) d. zenith troposphere: linear spline 20-min interval; rate constraint with reciprocal weights generally 50 ps/hr; NMF wet partial derivative (segmented). e. troposphere gradient: 6-hour east and north linear spline at all stations, except a set of 84 stations (Appendix A); offset and rate constraints with reciprocal weights 0.5 mm and 2.0 mm/day (segmented). f. station clocks: quadratic (local) + linear spline with 1-hr interval (segmented); rate constraint with reciprocal weights generally 5.0E-14 g. baseline clocks: set in initial analysis - usually used (local) h. other: global antenna axis offsets for a set of stations (Appendix B) (global) 5. Celestial reference frame: a. a priori source positions: 2006a_apr.src catalogue. This catalogue was created in the preliminary solution similar to 2006a_astro. However, positions of 212 ICRF defining sources in the apriori list were replaced with the values taken from the ICRF catalogue. b. source positions adjusted in solution: yes If yes, c. definition of orientation: no-net-rotation tie to the ICRF using only the 212 ICRF defining sources d. source position estimation: 3565 sources 6 - Terrestrial reference frame: a. a priori station positions: 2006a_apr.sit . This catalogue was created in the preliminary solution similar to 2006a_astro. However, positions of 35 strong stations were replaced with the values from the ITRF2000 catalogue. b. a priori station velocities: 2006a_apr.vel . This catalogue was created in the preliminary solution similar to 2006a_astro. However, velocities of 35 strong stations were replaced with the values from the ITRF2000 catalogue. c. reference epoch for site positions: 1997.0 d. station positions/velocities adjusted in solution: yes e. definition of origin, orientation, and their time evolution: net-translation and 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 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 Values of right-hand side of net-roatation/net-translation constraints: RIGHT_PART -0.00470289 0.13223685 0.09207402 NO EXCEPT \ * nnt_pos RIGHT_PART -0.23284696 -0.03417480 0.04196439 NO EXCEPT \ * nnr_pos RIGHT_PART 0.01870125 -0.00456671 0.00008890 NO EXCEPT \ * nnt_vel RIGHT_PART 0.00750823 0.02613919 0.00943158 NO EXCEPT \ * nnr_vel Units: meters for nnt_pos, meters/Earth_radius for nnr_pos, mm/yr for nnt_vel, mm/(yr*Earth_radius) for nnr_vel f. station parameter estimation: X, Y, Z, Xdot, Ydot, Zdot globally for all stations, some with constraints g. stations with constraints: A priori velocity for U, E, and N components of the stations listed in Appendix C were constrained to the ITRF2000 velocities with reciprocal weights 0.1, 3.0, and 3.0 mm/yr respectively because the stations have a very short history of observations, in many cases only one occupation. The velocities of the 20 groups of stations listed in Appendix D are constrained to be the same. h. stations with discontinuous positions and date of discontinuity: DSS15 1992.06.27 DSS65 1997.04.15 EFLSBERG 1996.10.01 FORTORDS 1989.10.01 GGAO7108 2003.01.01 MEDICINA 1996.06.01 MOJAVE12 1992.06.27 PRESIDIO 1989.10.01 SINTOTU3 2003.09.15 SOURDOGH 1987.12.01 WHTHORSE 1987.12.01 YAKATAGA 1987.12.01 Besides, the eccentricity vector for station TSUKUB32 was assigned to (-0.0437, 0.0, 0.0) meters in Up, East, North in local topocentric reference frame before 1999.05.01 and (0.0, 0.0, 0.0) after 1999.05.01 according to results of geodetic surveys [4]. Changes in the eccentricity vector are caused by repairing of the concrete foundation slab. i. stations with nonlinear velocities: Non-linear constituent of position of the following statinos is modeled with expansion on B-sline basis. STATION GILCREEK DEGREE 2 \ NODE 1984.07.01 MULT 2 \ NODE 1990.01.01 MULT 0 \ NODE 1997.01.01 MULT 0 \ NODE 2001.06.01 MULT 0 \ NODE 2002.11.03_22:12:42 MULT 2 \ NODE 2003.02.01 MULT 0 \ NODE 2004.03.01 MULT 0 \ NODE 2005.12.15 MULT 0 \ * STATION HRAS_085 DEGREE 3 \ NODE 1980.04.11 MULT 3 \ NODE 1983.01.01 MULT 0 \ NODE 1984.01.01 MULT 0 \ NODE 1984.07.01 MULT 0 \ NODE 1985.03.01 MULT 0 \ NODE 1985.05.15 MULT 0 \ NODE 1985.07.15 MULT 0 \ NODE 1986.01.01 MULT 0 \ NODE 1986.07.01 MULT 0 \ NODE 1987.01.01 MULT 0 \ NODE 1987.07.01 MULT 0 \ NODE 1988.01.01 MULT 0 \ NODE 1988.07.01 MULT 0 \ NODE 1989.01.01 MULT 0 \ NODE 1991.06.05 MULT 0 \ STATION MIURA DEGREE 1 \ NODE 1995.05.21 MULT 1 \ NODE 2000.06.01 MULT 1 \ NODE 2000.11.15 MULT 0 \ STATION PIETOWN DEGREE 2 \ NODE 1991.05.01 MULT 2 \ NODE 1993.03.01 MULT 0 \ NODE 1996.01.01 MULT 0 \ NODE 1998.01.01 MULT 0 \ NODE 2000.01.01 MULT 0 \ NODE 2002.01.01 MULT 0 \ NODE 2004.01.01 MULT 0 \ NODE 2006.07.01 MULT 0 \ STATION TATEYAMA DEGREE 1 \ NODE 1997.10.30 MULT 1 \ NODE 2000.06.01 MULT 1 \ NODE 2001.06.15 MULT 0 \ j. relativity scale: the terrestrial reference frame is defined using the following metric tensor: 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 was used, although it is known to have a deficiency. THIS METRIC TENSOR DOES NOT CONFORM IAU 2000 RESOLUTIONS! 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: LISKE_1976 + heo_200606.heo b. a priori nutation model: MHB2000 + heo_200606.heo c. a priori short-period tidal variations in x, y, UT1 were taken into account in accordance with the empirical model heo_06c (Appendix E) 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 to allow estimation for one-baseline sessions; 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 empirical model of high frequency variations in polar motion and UT1, including nutation derived from VLBI solutions heo_06c was used. 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. A network of each individual session falls into 4 categories: 1) very small network: baselines shorter than 150 km; 2) small network: baselines in the range 150-1500 km; 3) singular network: single baseline network with baseline length longer than 1500 km; 4) global network: three or more stations with baselines longer than 1500 km. The EOPs were not estimated for very small networks. The EOPs were estimated for small networks but applying strong constraints. The records related to these experiments were eliminated from the output EOP file. EOP from other series were put in file 2006a_astro.eops . The pole coordinates and UT1 from singular networks were substantially affected by weak constraints. They were removed from the output file 2006a_astro.eops and their values and formal uncertainties were replaced with "-0 ". The singular networks provided reasonable estimates of nutation angles. 8. A priori geophysical models: a. troposphere: NMF dry mapping function; Saastamoinen zenith delay calculated using logged pressure, temperature; a priori mean gradients from 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: three indepdent solutions: inosphere-free combination of group delays, X-band group delays only S-band group delays only 10. Data editing: 5 deg elevation cutoff 11. Data weighting. Weights are defined as follows: 1/sqrt ( f**2 + a**2 ) where "f" is 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. The station-dependent parameter "a" was computed for each session by an iterative procedure such that the ratio of the sum of squares of weighted residuals to the estimate of their mathematical expectation is about unity. 12. Standard errors reported: all errors derived from least-squares estimation propagated from the data weights and the constraints applied to the estimated parameters. 13. Software: VTD revision date 2006.04.28, SOLVE revision date 2006.07.10 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. 2005.12.04_19:54:13 ---------------------------------------------------------------------------- Appendix A. ~~~~~~~~~~~ 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 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 B. ~~~~~~~~~~~ List of 61 stations with axis offsets 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 C. ~~~~~~~~~~~ 35 stations with constraints on velocity: AUSTINTX AZORES BERMUDA BLOOMIND BREST \ CARNUSTY CARROLGA CHLBOLTN CTVASBAY CTVASTJ \ DAITO GRASSE HOFN HOHENFRG HOHNBERG \ KAINAN KANOZAN KARLBURG KIRSBERG LEONRDOK \ MCD_7850 METSHOVI MILESMON NOBEY_6M OCOTILLO \ SAGARA SEST SUWON TIDBIN64 TITIJIMA \ TOMAKO11 TOULOUSE USSURISK USUDA64 VICTORIA Appendix D. ~~~~~~~~~~~ Velocities of these 23 pairs or triplets of stations were constrainted 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 E. ~~~~~~~~~~~ HEO Format version of 2004.03.12 # # Created by Calc/Solve # run by Leonid Petrov ( lpetrov@pethome ) # on pethome at 2006.06.23-18:15:43 local time # # Result of VLBI solution heo_200606 # #============================ Beginning of format description: ================= # # Specifications of HEO format version of 2004.03.12 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # # HEO format is for describing small harmonic variations in the Earth # orientation. "Small" means that the squares of the rotation angles # can be neglected. # # A file in HEO format consists of records of variable length in # ASCII coding. The records are separated by a character with decimal # code 13. The records of the following types are supported: # # 1) Header record; # 2) Model name record; # 3) Time epoch record; # 4) Harmonic definition records; # 5) Amplitude definition records; # 6) Velocities definition records; # 7) Trailer record. # # Records which start from # character are considered as comments. # # The first record of a valid file in HEO format is the header record. # It is followed by the model name record, time epoch record and then by one # or more harmonic definition records and one or more harmonic definition # records. The last record is a trailer record. All harmonic definition records # should precede amplitude and velocity definition records. Names of a harmonic # in the amplitude or velocity records should be defined in the harmonic # definition record. The number of velocity records can be less than the number # of amplitude records, and the number of amplitude records can be less than # the number of harmonic records. If a harmonic is not defined in an amplitude # records, its amplitude is considered to be zero. If a harmonic is not defined # in a velocity records, the rate of change of the amplitude of that harmonic # is considered to be zero. # # Records format: # # 1) A header record contains the string # "HEO Format version of 2004.03.12" # # The header record allows to distinguish the valid file in the # HEO format from files in other formats and tells to a parsing software # that is the version of the format. # # # 2) A name record defines the name of the model of the harmonic Earth # orientation variations. # # Format of an N-record: # ---------------------- # # Field 1:1 A1 -- Records ID: letter N (decimal code 78). # field 2:3 a2 -- delimiters: blanks. # Field 4:80 A77 -- 77-letter long model name. May contain any # characters in the decimal range [32, 255]. # # 3) An epoch record defines the epoch of the expansion. # An expansion may have mixed terms (t-t0)*sin(at+p), (t-t0)*cos(at+p), # where t is time. The E-record defines the epoch t0 in mixed terms. # If an expansion does not have mixed terms, then the epoch defined in # this record is not used. Time scale TDT is used for defining the # reference epoch. # # Format of a E-record: # --------------------- # # Field 1:1 A1 -- Records ID: letter E (decimal code 69). # field 2:2 a2 -- delimiters: blanks. # Field 4:7 I4 -- Year # field 8:8 a1 -- delimiter: letter . (decimal code 46). # Field 9:10 I2 -- The index of the month in the year in the range [1,12] # field 11:11 a1 -- delimiter: letter . (decimal code 46). # Field 12:13 I2 -- The index of the day in the month in the range [1,31] # field 14:14 a1 -- delimiter: letter - (decimal code 45). # Field 15:16 I2 -- Hour in the range [0,23] # field 17:17 a1 -- delimiter: letter : (decimal code 58). # Field 18:19 I2 -- Minute in the range [0,23] # field 20:20 a1 -- delimiter: letter : (decimal code 58). # Field 21:24 F4.1 -- Seconds in the range [0.0, 59.9] # # # 4) A harmonic definition record defines the argument of the harmonic in # the form {phase + freq*(t-tr) + 1/2*accel*(t-tr)**2} where t is # time in TDT time scale and tr is the reference epoch J2000.0, # 01 January 2000, 12 hours TDT. The file cannot contain more than one # definition of the same harmonic. # # # Format of an H-record: # ---------------------- # # Field 1:1 A1 -- Records ID: letter H (decimal code 72). # field 2:3 a2 -- delimiters: blanks. # Field 4:11 A8 -- 8-letter long harmonic name. May contain any # characters with decimal codes 32-255, but blanks # are allowed only at the end of the harmonic name. # This field should not necessarily have a special # meaning. Parsing software should not try to # interpret this name. # field 12:13 a2 -- delimiters: blanks. # Field 14:25 F11.9 -- Phase of the harmonic in float format. # Units: rad. # field 26:27 a2 -- delimiters: blanks. # Field 28:46 D19.12 -- Frequency of the harmonic in float format. # Units: rad/sec. # field 47:48 a2 -- delimiters: blanks. # Field 49:59 D11.4 -- Acceleration of the harmonic in float format. # Units: rad/sec**2. # field 60:60 a1 -- delimiters: blanks. # field 61:80 A20 -- Comment. Parser ignores contents of this field. # # # 5) An amplitude record specifies the harmonic and 4 amplitudes of # the variation of the Earth orientation: in phase polar motion # (PM_amp_cos), out_of_phase polar motion (PM_amp_sin), in_phase # rotation around E3 axis (E3_amp_cos), out_of_phase rotation around # E3 axis (E3_amp_sin). A file cannot contain more than one amplitude # record for the same harmonic. The harmonic referred in an amplitude record # must be defined in the preceding harmonic definition record. # # These amplitudes allows to define instantaneous small Euler angles of # the perturbations in the Earth rotation with respect to an apriori model # in this way: # # E1 = [ PM_amp_cos + PM_vel_cos*(t-t0) ] * # cos { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # + [ PM_amp_sin + PM_vel_sin*(t-t0) ] * # sin { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # # E2 = [ PM_amp_cos + PM_vel_cos*(t-t0) ] * # sin { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # - [ PM_amp_sin + PM_vel_sin*(t-t0) ] * # cos { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # # E3 = [ E3_amp_cos + E3_vel_cos*(t-t0) ] * # cos { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # + [ E3_amp_sin + E3_vel_sin*(t-t0) ] * # sin { (ut1-tdt)*2*pi/86400 + phase + freq*(t-tr) + 1/2*accel*(t-tr)**2 } # # Where # # E1 -- rotation around 1 axis (+Y angle of the polar motion) # E2 -- rotation around 2 axis (+X angle of the polar motion) # E3 -- rotation around 3 axis (-Ut1 angle of the Earth's rotation) # # t-tr -- The interval of time in scale TAU elapsed since # 01 January 2000, 12 hours TAI, in seconds # t-t0 -- The interval of time in scale TAI elapsed since the reference # epoch for the expansion defined in the E-record, in seconds. # # # Format of a A-record # --------------------- # # Field 1:1 A1 -- Record ID: letter A (decimal code 65). # field 2:3 a2 -- Delimiters: blanks. # Field 4:11 A8 -- 8-letter long harmonic name. The harmonic name # must be defined in a preceding H-record. # field 12:13 a2 -- Delimiters: blanks. # Field 14:25 F12.0 -- PM_amp_cos -- cosine amplitude of the small angle # of polar motion. Units: prad. # field 26:26 a1 -- delimiter: blank. # Field 27:38 F12.0 -- PM_amp_sin -- sine amplitude of the small angle # of polar motion. Units: prad. # field 39:39 a2 -- Delimiters: blanks. # Field 41:52 F12.0 -- E3_amp_cos -- cosine amplitude of the small angle # of the Earth rotation around 3 axis. Units: prad. # field 53:53 a1 -- Delimiter: blank. # Field 54:65 F12.0 -- E3_amp_sin -- sine amplitude of the small angle # of the Earth rotation around 3 axis. Units: prad. # # # 6) A velocity record specifies rates of changes of the amplitudes of # the harmonic of the variation of the Earth orientation: in phase polar # motion (PM_vel_cos), out_of_phase polar motion (PM_vel_sin), in_phase # rotation around E3 axis (E3_vel_cos), out_of_phase rotation around # E3 axis (E3_vel_sin). A file cannot contain more than one velocity # record for the same harmonic. The harmonic referred in an velocity record # must be defined in the preceding harmonic definition record. # # # Format of a V-record # --------------------- # # Field 1:1 A1 -- Record ID: letter A (decimal code 65). # field 2:3 a2 -- Delimiters: blanks. # Field 4:11 A8 -- 8-letter long harmonic name. The harmonic name # must be defined in a preceding H-record. # field 12:13 a2 -- Delimiters: blanks. # Field 14:25 F12.0 -- PM_vel_cos -- rate of change of the cosine amplitude # of the small angle of polar motion. # Units: 10^{-21} rad/sec. # field 26:26 a1 -- delimiter: blank. # Field 27:38 F12.0 -- PM_amp_sin -- rate of change of the sine amplitude # of the small angle of polar motion. # Units: 10^{-21} rad/sec. # field 39:39 a2 -- Delimiters: blanks. # Field 41:52 F12.0 -- E3_amp_cos -- rate of change of the cosine amplitude # of the small angle of the Earth rotation around 3 axis. # Units: 10^{-21} rad/sec. # field 53:53 a1 -- Delimiter: blank. # Field 54:65 F12.0 -- E3_amp_sin -- rate of change of the sine amplitude # of the small angle of the Earth rotation around # 3 axis. Units: 10^{-21} rad/sec. # # # 7) Trailer record is the same as the header record. # #============================ End of format description: ======================= # # Name of the model # N VLBI solution heo_200606 produced at 2006.06.23-18:15:43 # # Epoch for the model (TAI) # E 1996.01.01-00:00:00 # # # Harmonic Phase Frequency Acceleration Comment # rad rad/sec rad/sec^2 # H Term_001 0.000000000 -3.649757900000D-04 0.0000D+00 H Term_002 0.000000000 -3.649157900000D-04 0.0000D+00 H Term_003 0.000000000 -3.643657900000D-04 0.0000D+00 H Term_004 0.000000000 -3.641557900000D-04 0.0000D+00 H Term_005 0.000000000 -3.637303100000D-04 0.0000D+00 H Term_006 0.000000000 -3.636903100000D-04 0.0000D+00 H Term_007 0.000000000 -3.636203100000D-04 0.0000D+00 H Term_008 0.000000000 -3.634603100000D-04 0.0000D+00 H Term_009 0.000000000 -3.634403100000D-04 0.0000D+00 H Term_010 0.000000000 -3.634203100000D-04 0.0000D+00 H Term_011 0.000000000 -2.917346300000D-04 0.0000D+00 H Term_012 0.000000000 -2.917146300000D-04 0.0000D+00 H Term_013 0.000000000 -2.916946300000D-04 0.0000D+00 H Term_014 0.000000000 -2.916746300000D-04 0.0000D+00 H Term_015 0.000000000 -2.914846300000D-04 0.0000D+00 H Term_016 0.000000000 -2.912146300000D-04 0.0000D+00 H Term_017 0.000000000 -2.910246300000D-04 0.0000D+00 H Term_018 0.000000000 -2.909182500000D-04 0.0000D+00 H Term_019 0.000000000 -2.908982500000D-04 0.0000D+00 H Term_020 0.000000000 -2.879700000000D-04 0.0000D+00 H Term_021 0.000000000 -2.190734800000D-04 0.0000D+00 H Term_022 0.000000000 -2.190534800000D-04 0.0000D+00 H Term_023 0.000000000 -2.190434800000D-04 0.0000D+00 H Term_024 0.000000000 -2.189534800000D-04 0.0000D+00 H Term_025 0.000000000 -2.189034800000D-04 0.0000D+00 H Term_026 0.000000000 -2.187934800000D-04 0.0000D+00 H Term_027 0.000000000 -2.187834800000D-04 0.0000D+00 H Term_028 0.000000000 -2.187634800000D-04 0.0000D+00 H Term_029 0.000000000 -2.187434800000D-04 0.0000D+00 H Term_030 0.000000000 -2.186734800000D-04 0.0000D+00 H Term_031 0.000000000 -2.186334800000D-04 0.0000D+00 H Term_032 0.000000000 -2.185734800000D-04 0.0000D+00 H Term_033 0.000000000 -2.185534800000D-04 0.0000D+00 H Term_034 0.000000000 -2.184634800000D-04 0.0000D+00 H Term_035 0.000000000 -2.183434800000D-04 0.0000D+00 H Term_036 0.000000000 -2.182461900000D-04 0.0000D+00 H Term_037 0.000000000 -2.181161900000D-04 0.0000D+00 H Term_038 0.000000000 -2.180261900000D-04 0.0000D+00 H Term_039 0.000000000 -2.180061900000D-04 0.0000D+00 H Term_040 0.000000000 -2.169800000000D-04 0.0000D+00 H Term_041 3.029029307 -2.107783540565D-04 0.0000D+00 H Term_042 5.384585307 -2.081391510038D-04 0.0000D+00 H Term_043 0.000000000 -1.599700000000D-04 0.0000D+00 H Term_044 0.000000000 -1.599500000000D-04 0.0000D+00 H Term_045 2.603128307 -1.484922171179D-04 0.0000D+00 H Term_046 0.420689307 -1.484815201555D-04 0.0000D+00 H Term_047 0.000000000 -1.462423200000D-04 0.0000D+00 H Term_048 0.000000000 -1.460523200000D-04 0.0000D+00 H Term_049 0.000000000 -1.460023200000D-04 0.0000D+00 H Term_050 0.000000000 -1.459123200000D-04 0.0000D+00 H Term_051 0.000000000 -1.458923200000D-04 0.0000D+00 H Term_052 0.857937307 -1.458637110275D-04 0.0000D+00 H Term_053 4.958684307 -1.458530140651D-04 0.0000D+00 H Term_054 2.776244307 -1.458423171028D-04 0.0000D+00 H Term_055 0.000000000 -1.458223200000D-04 0.0000D+00 H Term_056 0.000000000 -1.458123200000D-04 0.0000D+00 H Term_057 0.000000000 -1.457723200000D-04 0.0000D+00 H Term_058 0.000000000 -1.457523200000D-04 0.0000D+00 H Term_059 0.000000000 -1.457023200000D-04 0.0000D+00 H Term_060 0.000000000 -1.456823200000D-04 0.0000D+00 H Term_061 3.184718307 -1.456432012082D-04 0.0000D+00 H Term_062 0.000000000 -1.455823200000D-04 0.0000D+00 H Term_063 0.000000000 -1.455623200000D-04 0.0000D+00 H Term_064 0.000000000 -1.455023200000D-04 0.0000D+00 H Term_065 0.000000307 -1.454441043329D-04 0.0000D+00 H Term_066 0.000000000 -1.454023200000D-04 0.0000D+00 H Term_067 0.000000000 -1.453723200000D-04 0.0000D+00 H Term_068 0.000000000 -1.453341200000D-04 0.0000D+00 H Term_069 0.000000000 -1.453041200000D-04 0.0000D+00 H Term_070 6.240060307 -1.452450074576D-04 0.0000D+00 H Term_071 1.031054307 -1.432138110124D-04 0.0000D+00 H Term_072 5.131800307 -1.432031140500D-04 0.0000D+00 H Term_073 4.899784307 -1.431581057571D-04 0.0000D+00 H Term_074 5.497148307 -1.428049012801D-04 0.0000D+00 H Term_075 4.156873307 -1.407179995796D-04 0.0000D+00 H Term_076 4.113748307 -1.405189027044D-04 0.0000D+00 H Term_077 5.072901307 -1.405082057420D-04 0.0000D+00 H Term_078 0.929030307 -1.403198058291D-04 0.0000D+00 H Term_079 1.569519307 -1.401656982274D-04 0.0000D+00 H Term_080 0.000000000 -1.400600000000D-04 0.0000D+00 H Term_081 5.871940307 -1.382329041286D-04 0.0000D+00 H Term_082 0.186118307 -1.378796996516D-04 0.0000D+00 H Term_083 1.145271307 -1.378690026892D-04 0.0000D+00 H Term_084 0.000000000 -1.360000000000D-04 0.0000D+00 H Term_085 1.944310307 -1.355937010758D-04 0.0000D+00 H Term_086 2.541674307 -1.352404965989D-04 0.0000D+00 H Term_087 4.299866307 -1.329544980231D-04 0.0000D+00 H Term_088 0.000000000 -1.023196200000D-04 0.0000D+00 H Term_089 0.000000000 -1.023096200000D-04 0.0000D+00 H Term_090 0.000000000 -1.022296200000D-04 0.0000D+00 H Term_091 0.000000000 -1.021496200000D-04 0.0000D+00 H Term_092 0.000000000 -1.020496200000D-04 0.0000D+00 H Term_093 0.000000000 -1.019796200000D-04 0.0000D+00 H Term_094 0.000000000 -1.018996200000D-04 0.0000D+00 H Term_095 0.000000000 -1.017808900000D-04 0.0000D+00 H Term_096 0.000000000 -1.017708900000D-04 0.0000D+00 H Term_097 0.000000000 -1.016708900000D-04 0.0000D+00 H Term_098 0.000000000 -9.094257700000D-05 0.0000D+00 H Term_099 0.000000000 -9.081257700000D-05 0.0000D+00 H Term_100 0.000000000 -9.079257700000D-05 0.0000D+00 H Term_101 0.000000000 -9.075257700000D-05 0.0000D+00 H Term_102 0.000000000 -9.073257700000D-05 0.0000D+00 H Term_103 0.000000000 -9.068257700000D-05 0.0000D+00 H Term_104 0.000000000 -9.067257700000D-05 0.0000D+00 H Term_105 0.000000000 -8.770539000000D-05 0.0000D+00 H Term_106 0.000000000 -8.762539000000D-05 0.0000D+00 H Term_107 0.000000000 -8.759539000000D-05 0.0000D+00 H Term_108 0.000000000 -8.756539000000D-05 0.0000D+00 H Term_109 0.000000000 -8.751539000000D-05 0.0000D+00 H Term_110 0.000000000 -8.736539000000D-05 0.0000D+00 H Term_111 0.000000000 -8.730539000000D-05 0.0000D+00 H Term_112 0.000000000 -8.728539000000D-05 0.0000D+00 H Term_113 0.000000000 -8.727539000000D-05 0.0000D+00 H Term_114 0.000000000 -8.723647400000D-05 0.0000D+00 H Term_115 0.000000000 -8.722647400000D-05 0.0000D+00 H Term_116 0.000000000 -8.719647400000D-05 0.0000D+00 H Term_117 0.000000000 -8.711647400000D-05 0.0000D+00 H Term_118 0.000000000 -8.706647400000D-05 0.0000D+00 H Term_119 0.658816873 -8.581967459751D-05 0.0000D+00 H Term_120 4.759562981 -8.580897763545D-05 0.0000D+00 H Term_121 4.599448350 -8.354437298342D-05 0.0000D+00 H Term_122 2.417009150 -8.353367602136D-05 0.0000D+00 H Term_123 0.234569950 -8.352297905930D-05 0.0000D+00 H Term_124 5.196811971 -8.319116850644D-05 0.0000D+00 H Term_125 3.014372772 -8.318047154438D-05 0.0000D+00 H Term_126 0.831933572 -8.316977458231D-05 0.0000D+00 H Term_127 3.741510643 -8.312476628880D-05 0.0000D+00 H Term_128 4.338874265 -8.277156181181D-05 0.0000D+00 H Term_129 0.671818941 -8.090516993029D-05 0.0000D+00 H Term_130 4.772565048 -8.089447296823D-05 0.0000D+00 H Term_131 2.590125848 -8.088377600616D-05 0.0000D+00 H Term_132 1.398956813 -8.084946467471D-05 0.0000D+00 H Term_133 5.499702920 -8.083876771265D-05 0.0000D+00 H Term_134 2.547000671 -8.068467913093D-05 0.0000D+00 H Term_135 1.269182562 -8.055196545331D-05 0.0000D+00 H Term_136 5.369928670 -8.054126849124D-05 0.0000D+00 H Term_137 3.187489470 -8.053057152918D-05 0.0000D+00 H Term_138 1.996320434 -8.049626019773D-05 0.0000D+00 H Term_139 6.097066542 -8.048556323566D-05 0.0000D+00 H Term_140 3.914627342 -8.047486627360D-05 0.0000D+00 H Term_141 3.144364292 -8.033147465394D-05 0.0000D+00 H Term_142 6.053941364 -8.028646636042D-05 0.0000D+00 H Term_143 2.593684055 -8.014305572074D-05 0.0000D+00 H Term_144 0.411244856 -8.013235875868D-05 0.0000D+00 H Term_145 0.247572018 -7.860847439208D-05 0.0000D+00 H Term_146 4.348318125 -7.859777743001D-05 0.0000D+00 H Term_147 0.888060816 -7.845436679033D-05 0.0000D+00 H Term_148 4.988806924 -7.844366982827D-05 0.0000D+00 H Term_149 1.615198688 -7.839866153475D-05 0.0000D+00 H Term_150 5.209814039 -7.827666383922D-05 0.0000D+00 H Term_151 3.027374839 -7.826596687716D-05 0.0000D+00 H Term_152 0.844935639 -7.825526991509D-05 0.0000D+00 H Term_153 4.945681746 -7.824457295303D-05 0.0000D+00 H Term_154 3.754512711 -7.821026162158D-05 0.0000D+00 H Term_155 1.572073511 -7.819956465951D-05 0.0000D+00 H Term_156 5.672819618 -7.818886769745D-05 0.0000D+00 H Term_157 2.212562309 -7.804545705777D-05 0.0000D+00 H Term_158 5.012347975 -7.802296242102D-05 0.0000D+00 H Term_159 1.528948334 -7.800046778428D-05 0.0000D+00 H Term_160 0.251130225 -7.786775410666D-05 0.0000D+00 H Term_161 4.351876332 -7.785705714459D-05 0.0000D+00 H Term_162 2.169437132 -7.784636018253D-05 0.0000D+00 H Term_163 6.270183239 -7.783566322047D-05 0.0000D+00 H Term_164 4.308751155 -7.765796026935D-05 0.0000D+00 H Term_165 2.126311955 -7.764726330729D-05 0.0000D+00 H Term_166 4.949239954 -7.750385266761D-05 0.0000D+00 H Term_167 2.766800754 -7.749315570555D-05 0.0000D+00 H Term_168 3.493938625 -7.743745044997D-05 0.0000D+00 H Term_169 4.785567116 -7.597996830101D-05 0.0000D+00 H Term_170 2.603127916 -7.596927133894D-05 0.0000D+00 H Term_171 0.420688716 -7.595857437688D-05 0.0000D+00 H Term_172 6.153193786 -7.577015544368D-05 0.0000D+00 H Term_173 3.970754586 -7.575945848162D-05 0.0000D+00 H Term_174 1.282184630 -7.563746078609D-05 0.0000D+00 H Term_175 5.382930737 -7.562676382402D-05 0.0000D+00 H Term_176 3.200491537 -7.561606686196D-05 0.0000D+00 H Term_177 1.018052337 -7.560536989990D-05 0.0000D+00 H Term_178 2.009322502 -7.558175553051D-05 0.0000D+00 H Term_179 6.110068609 -7.557105856844D-05 0.0000D+00 H Term_180 3.927629409 -7.556036160638D-05 0.0000D+00 H Term_181 1.745190209 -7.554966464432D-05 0.0000D+00 H Term_182 4.568118208 -7.540625400463D-05 0.0000D+00 H Term_183 3.267157766 -7.539445632995D-05 0.0000D+00 H Term_184 1.084718566 -7.538375936789D-05 0.0000D+00 H Term_185 6.066943432 -7.537196169321D-05 0.0000D+00 H Term_186 3.884504232 -7.536126473114D-05 0.0000D+00 H Term_187 2.606686123 -7.522855105352D-05 0.0000D+00 H Term_188 0.424246923 -7.521785409146D-05 0.0000D+00 H Term_189 4.524993030 -7.520715712940D-05 0.0000D+00 H Term_190 2.342553830 -7.519646016733D-05 0.0000D+00 H Term_191 1.151384795 -7.516214883588D-05 0.0000D+00 H Term_192 5.252130902 -7.515145187382D-05 0.0000D+00 H Term_193 3.069691702 -7.514075491175D-05 0.0000D+00 H Term_194 0.381121746 -7.501875721622D-05 0.0000D+00 H Term_195 4.481867853 -7.500806025416D-05 0.0000D+00 H Term_196 2.299428653 -7.499736329210D-05 0.0000D+00 H Term_197 4.591659259 -7.498554659739D-05 0.0000D+00 H Term_198 5.209005725 -7.495235499858D-05 0.0000D+00 H Term_199 4.438742676 -7.480896337892D-05 0.0000D+00 H Term_200 5.849494523 -7.479824739683D-05 0.0000D+00 H Term_201 2.862494968 -7.371756507422D-05 0.0000D+00 H Term_202 0.901062884 -7.353986212311D-05 0.0000D+00 H Term_203 5.001808991 -7.352916516105D-05 0.0000D+00 H Term_204 2.819369791 -7.351846819899D-05 0.0000D+00 H Term_205 1.628200756 -7.348415686753D-05 0.0000D+00 H Term_206 5.728946863 -7.347345990547D-05 0.0000D+00 H Term_207 3.040376907 -7.335146220994D-05 0.0000D+00 H Term_208 0.857937707 -7.334076524787D-05 0.0000D+00 H Term_209 4.958683814 -7.333006828581D-05 0.0000D+00 H Term_210 2.776244614 -7.331937132375D-05 0.0000D+00 H Term_211 0.593805414 -7.330867436169D-05 0.0000D+00 H Term_212 3.767514779 -7.329575695436D-05 0.0000D+00 H Term_213 1.585075579 -7.328505999229D-05 0.0000D+00 H Term_214 5.685821686 -7.327436303023D-05 0.0000D+00 H Term_215 3.503382486 -7.326366606817D-05 0.0000D+00 H Term_216 3.437832541 -7.317024021321D-05 0.0000D+00 H Term_217 0.000000000 -7.316000000000D-05 0.0000D+00 H Term_218 4.408003577 -7.314164935261D-05 0.0000D+00 H Term_219 2.225564377 -7.313095239055D-05 0.0000D+00 H Term_220 0.043125177 -7.312025542848D-05 0.0000D+00 H Term_221 4.822349794 -7.310955138024D-05 0.0000D+00 H Term_222 0.020118912 -7.310016694212D-05 0.0000D+00 H Term_223 1.501073338 -7.309078250400D-05 0.0000D+00 H Term_224 2.982027763 -7.308139806589D-05 0.0000D+00 H Term_225 4.462982189 -7.307201362777D-05 0.0000D+00 H Term_226 5.943936615 -7.306262918965D-05 0.0000D+00 H Term_227 1.141705733 -7.305324475153D-05 0.0000D+00 H Term_228 2.622660159 -7.304386031342D-05 0.0000D+00 H Term_229 4.103614584 -7.303447587530D-05 0.0000D+00 H Term_230 5.584569010 -7.302509143718D-05 0.0000D+00 H Term_231 0.782338128 -7.301570699906D-05 0.0000D+00 H Term_232 2.263292554 -7.300632256095D-05 0.0000D+00 H Term_233 3.744246979 -7.299693812283D-05 0.0000D+00 H Term_234 1.455301328 -7.298756077089D-05 0.0000D+00 H Term_235 5.556047435 -7.297686380883D-05 0.0000D+00 H Term_236 3.373608235 -7.296616684676D-05 0.0000D+00 H Term_237 0.264132293 -7.295324943944D-05 0.0000D+00 H Term_238 4.364878400 -7.294255247737D-05 0.0000D+00 H Term_239 2.182439200 -7.293185551531D-05 0.0000D+00 H Term_240 3.324267000 -7.292115855325D-05 0.0000D+00 H Term_241 4.100746107 -7.291046159118D-05 0.0000D+00 H Term_242 1.918306907 -7.289976462912D-05 0.0000D+00 H Term_243 1.199092994 -7.288757331455D-05 0.0000D+00 H Term_244 2.909577072 -7.287615025973D-05 0.0000D+00 H Term_245 0.727137872 -7.286545329767D-05 0.0000D+00 H Term_246 4.827883979 -7.285475633560D-05 0.0000D+00 H Term_247 2.738358291 -7.284405228736D-05 0.0000D+00 H Term_248 4.202051977 -7.283477722624D-05 0.0000D+00 H Term_249 5.665745663 -7.282550216512D-05 0.0000D+00 H Term_250 0.846254041 -7.281622710399D-05 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Term_528 2.126312000 1.407179995796D-04 0.0000D+00 H Term_529 0.786037000 1.428049012801D-04 0.0000D+00 H Term_530 1.383401000 1.431581057571D-04 0.0000D+00 H Term_531 1.151385000 1.432031140500D-04 0.0000D+00 H Term_532 5.252131000 1.432138110124D-04 0.0000D+00 H Term_533 0.043125000 1.452450074576D-04 0.0000D+00 H Term_534 0.000000000 1.452541200000D-04 0.0000D+00 H Term_535 0.000000000 1.452841200000D-04 0.0000D+00 H Term_536 6.283185000 1.454441043329D-04 0.0000D+00 H Term_537 3.098467000 1.456432012082D-04 0.0000D+00 H Term_538 0.000000000 1.456623200000D-04 0.0000D+00 H Term_539 0.000000000 1.456723200000D-04 0.0000D+00 H Term_540 0.000000000 1.457323200000D-04 0.0000D+00 H Term_541 3.506941000 1.458423171028D-04 0.0000D+00 H Term_542 1.324501000 1.458530140651D-04 0.0000D+00 H Term_543 5.425248000 1.458637110275D-04 0.0000D+00 H Term_544 0.000000000 1.459023200000D-04 0.0000D+00 H Term_545 0.000000000 1.459423200000D-04 0.0000D+00 H Term_546 0.000000000 1.459623200000D-04 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2.187534800000D-04 0.0000D+00 H Term_566 0.000000000 2.187634800000D-04 0.0000D+00 H Term_567 0.000000000 2.188534800000D-04 0.0000D+00 H Term_568 0.000000000 2.189034800000D-04 0.0000D+00 H Term_569 0.000000000 2.190534800000D-04 0.0000D+00 H Term_570 0.000000000 2.192334800000D-04 0.0000D+00 H Term_571 0.000000000 2.913246300000D-04 0.0000D+00 H Term_572 0.000000000 2.916246300000D-04 0.0000D+00 H Term_573 0.000000000 2.916346300000D-04 0.0000D+00 H Term_574 0.000000000 2.916646300000D-04 0.0000D+00 H Term_575 0.000000000 2.918146300000D-04 0.0000D+00 H Term_576 0.000000000 2.923946300000D-04 0.0000D+00 H Term_577 0.000000000 3.641357900000D-04 0.0000D+00 H Term_578 0.000000000 3.644257900000D-04 0.0000D+00 H Term_579 0.000000000 3.645357900000D-04 0.0000D+00 H Term_580 0.000000000 3.645657900000D-04 0.0000D+00 H Term_581 0.000000000 3.646057900000D-04 0.0000D+00 H Term_582 0.000000000 3.646357900000D-04 0.0000D+00 H Term_583 0.000000000 3.649957900000D-04 0.0000D+00 # # Amplitudes of harmonic variations in the Earth rotation # # Harmonic PM_cos PM_sin E3_cos E3_sin # prad prad prad prad # A Term_001 14. 11. 6. -5. A Term_002 9. 20. -3. -9. A Term_003 4. 4. -15. 7. A Term_004 5. -1. 5. 5. A Term_005 5. -17. 6. -2. A Term_006 -1. 13. -1. -1. A Term_007 16. -7. 7. 9. A Term_008 -11. 13. 8. 0. A Term_009 -21. 10. 11. -4. A Term_010 1. 4. -11. -12. A Term_011 -15. 0. 0. -8. A Term_012 0. -10. 2. 2. A Term_013 -1. -6. -1. 20. A Term_014 1. -1. 0. 19. A Term_015 22. 6. -6. 6. A Term_016 10. 2. -12. 16. A Term_017 -20. -6. 4. -8. A Term_018 3. 0. 4. -6. A Term_019 14. 5. 4. -5. A Term_020 14. -2. 3. 2. A Term_021 18. -3. 0. 9. A Term_022 -1. -17. 14. -3. A Term_023 -2. 15. -23. -5. A Term_024 -5. 6. -25. -10. A Term_025 3. -3. -3. 8. A Term_026 11. -22. -1. 14. A Term_027 -17. -7. 12. -28. A Term_028 -29. 3. 6. -15. A Term_029 -6. 14. 16. -8. A Term_030 11. -15. 1. 15. A Term_031 21. 9. -1. -1. A Term_032 5. 17. -7. -4. A Term_033 9. 9. -17. 4. A Term_034 -1. 0. -11. -5. A Term_035 8. 12. -10. 7. A Term_036 15. 17. -7. 4. A Term_037 20. 1. -2. -4. A Term_038 2. -11. 17. -3. A Term_039 -12. -12. 0. -5. A Term_040 21. -17. 4. 7. A Term_041 6. -7. -1. 3. A Term_042 -7. 6. -6. -7. A Term_043 6. -13. 12. -3. A Term_044 -15. 10. 1. -10. A Term_045 19. 12. 2. -4. A Term_046 5. 2. 2. -15. A Term_047 -6. -21. 9. 5. A Term_048 -14. 3. -14. -8. A Term_049 1. 27. -10. 4. A Term_050 11. -1. -4. 15. A Term_051 18. 13. -27. -2. A Term_052 28. 9. -10. 9. A Term_053 30. 9. -19. -54. A Term_054 74. -119. 7. -184. A Term_055 32. 36. -40. 33. A Term_056 3. -12. 44. -9. A Term_057 8. -8. -16. 0. A Term_058 -24. -1. -14. -4. A Term_059 -25. -9. 16. -10. A Term_060 -16. -6. 9. -7. A Term_061 -18. 5. 10. -20. A Term_062 9. -28. 5. 15. A Term_063 -12. -2. 16. 13. A Term_064 12. -15. -2. -5. A Term_065 494. -327. 61. -542. A Term_066 1. 22. -4. -20. A Term_067 -11. -18. 5. -2. A Term_068 4. -15. 3. 9. A Term_069 -5. -8. 6. 8. A Term_070 14. -10. -14. -30. A Term_071 8. 10. 1. -11. A Term_072 11. -6. 8. 9. A Term_073 27. -4. 24. -21. A Term_074 -6. 11. 10. -8. A Term_075 6. 12. -8. 0. A Term_076 1167. -76. 692. -1091. A Term_077 40. 21. 25. -47. A Term_078 -8. 11. -20. 17. A Term_079 21. 4. 11. 11. A Term_080 4. 3. 1. -15. A Term_081 64. 9. 10. -34. A Term_082 196. -20. 142. -234. A Term_083 -3. 9. 16. -4. A Term_084 -18. 3. 1. 16. A Term_085 38. 4. 54. -50. A Term_086 45. -12. 25. -55. A Term_087 23. 1. 17. 0. A Term_088 -8. -5. -17. 5. A Term_089 22. 14. -6. 6. A Term_090 20. -4. 9. 10. A Term_091 9. 23. 0. 5. A Term_092 -21. 0. 17. -8. A Term_093 33. -8. -6. 0. A Term_094 16. 7. -4. 1. A Term_095 12. -18. -9. 10. A Term_096 -17. -6. 23. -5. A Term_097 -4. -16. 13. 14. A Term_098 -8. 14. -5. -15. A Term_099 -6. 8. -8. 3. A Term_100 14. 18. 11. 9. A Term_101 -11. 7. 25. -1. A Term_102 14. -7. 13. 8. A Term_103 -4. -17. 11. -4. A Term_104 22. -1. 0. 1. A Term_105 -11. 9. -9. -4. A Term_106 21. -19. 5. 10. A Term_107 5. -6. 12. 0. A Term_108 -2. -9. 4. 4. A Term_109 32. -5. 9. 16. A Term_110 -9. 5. 6. -13. A Term_111 -17. -24. 10. 9. A Term_112 -31. -25. 12. 2. A Term_113 5. 16. -6. -9. A Term_114 2. -16. 1. 2. A Term_115 -4. 17. -3. -1. A Term_116 -26. 16. 11. -17. A Term_117 -3. 29. -20. -6. A Term_118 -17. -18. 7. 4. A Term_119 16. 5. 0. 0. A Term_120 -7. -22. 0. 0. A Term_121 -20. -6. 0. 0. A Term_122 35. 31. 0. 0. A Term_123 8. 3. 0. 0. A Term_124 17. 13. 0. 0. A Term_125 -8. 0. 0. 0. A Term_126 -28. 8. 0. 0. A Term_127 -8. -2. 0. 0. A Term_128 15. 9. 0. 0. A Term_129 -3. 1. 0. 0. A Term_130 2. 9. 0. 0. A Term_131 -13. -16. 0. -2. A Term_132 9. 12. 0. 0. A Term_133 -9. 7. 0. 0. A Term_134 -6. 9. 0. 0. A Term_135 -22. -10. 0. 0. A Term_136 8. -1. 0. 0. A Term_137 11. -8. 0. 0. A Term_138 10. -15. 0. 0. A Term_139 -6. 34. 0. 0. A Term_140 -16. -8. 0. 0. A Term_141 9. 8. 0. 0. A Term_142 10. 3. 0. 0. A Term_143 20. 2. 0. 0. A Term_144 -6. 1. 0. 0. A Term_145 14. -11. 0. 0. A Term_146 5. 1. 0. 0. A Term_147 -7. -6. 0. 0. A Term_148 -12. -3. 0. 0. A Term_149 0. -15. 0. 0. A Term_150 -1. 13. 0. 0. A Term_151 -2. -4. 0. 0. A Term_152 -53. 25. 31. -31. A Term_153 -73. 49. 51. -38. A Term_154 7. -13. 0. 0. A Term_155 -4. 6. 0. 0. A Term_156 -29. 21. 0. 0. A Term_157 16. -1. 0. 0. A Term_158 -17. -1. 0. 0. A Term_159 5. 6. 0. 0. A Term_160 3. -20. 11. 24. A Term_161 22. 12. 0. 0. A Term_162 -16. 19. 3. -16. A Term_163 -3. -12. 0. 0. A Term_164 -45. 15. 0. 0. A Term_165 9. -12. 0. 0. A Term_166 10. 14. 0. 0. A Term_167 -9. 6. 0. 0. A Term_168 7. 5. 0. 0. A Term_169 9. -5. 0. 0. A Term_170 -3. 4. 0. 0. A Term_171 -6. -17. 0. 0. A Term_172 6. -15. 0. 0. A Term_173 3. -17. 0. 0. A Term_174 2. 2. 0. 0. A Term_175 -15. 9. 0. 0. A Term_176 -1. 1. 0. 0. A Term_177 16. -27. 0. 0. A Term_178 -20. 24. 0. 0. A Term_179 5. 9. 18. 2. A Term_180 -93. 30. 79. -35. A Term_181 0. -10. 0. 0. A Term_182 2. 1. 0. 0. A Term_183 25. 10. 0. 0. A Term_184 -25. -45. 0. 0. A Term_185 -8. 9. 0. 0. A Term_186 -11. 10. 0. 0. A Term_187 -14. 15. 0. 0. A Term_188 6. 0. 0. 0. A Term_189 1. 19. -4. 1. A Term_190 17. 9. 0. 0. A Term_191 8. 2. 0. 0. A Term_192 -9. 18. 0. 0. A Term_193 4. -2. 0. 0. A Term_194 -8. 17. 0. 0. A Term_195 -14. 11. 0. 0. A Term_196 7. -3. 0. 0. A Term_197 -4. -25. 0. 0. A Term_198 -20. 8. 0. 0. A Term_199 -6. 15. 0. 0. A Term_200 -3. 7. 0. 0. A Term_201 -2. 14. 0. 0. A Term_202 -7. 12. 0. 0. A Term_203 14. 2. 0. 0. A Term_204 -6. -7. 0. 0. A Term_205 1. 18. 0. 0. A Term_206 -15. -17. 0. 0. A Term_207 39. -33. 0. 0. A Term_208 11. -24. 0. 0. A Term_209 1. 5. 0. 0. A Term_210 -50. -38. 7. -6. A Term_211 2. -4. 0. 0. A Term_212 10. 26. 0. 0. A Term_213 -9. -24. 0. 0. A Term_214 -5. -8. 0. 0. A Term_215 12. -15. 0. 0. A Term_216 15. 79. 0. 0. A Term_217 71. -53. 2. -3. A Term_218 -65. 21. 0. 0. A Term_219 -35. 122. 0. 0. A Term_220 57. 121. 9. 0. A Term_221 -170. 49. 0. 0. A Term_222 423. -27. 0. 0. A Term_223 -58. -385. 0. 0. A Term_224 -187. -168. 0. 0. A Term_225 332. 63. 0. 0. A Term_226 -202. -56. 0. 0. A Term_227 28. 63. 0. 0. A Term_228 -31. -45. 0. 0. A Term_229 1. 78. 0. 0. A Term_230 7. -109. 0. 0. A Term_231 -36. 84. 0. 0. A Term_232 37. -36. 0. 0. A Term_233 12. -31. 0. 0. A Term_234 10. -31. 0. 0. A Term_235 13. -34. 0. 0. A Term_236 -6. 27. 0. 0. A Term_237 27. 36. 0. 0. A Term_238 -9. -40. 0. 0. A Term_239 112. 131. 153. -50. A Term_240 174. -333. -1415. 185. A Term_241 198. 186. -47. 2. A Term_242 103. 36. 0. 0. A Term_243 -69. 104. 0. 0. A Term_244 50. 42. 0. 0. A Term_245 66. -18. 0. 0. A Term_246 28. 6. 0. 0. A Term_247 68. 0. 0. 0. A Term_248 -31. -12. 0. 0. A Term_249 78. -27. 0. 0. A Term_250 -61. -36. 0. 0. A Term_251 20. 27. 0. 0. A Term_252 8. -66. 0. 0. A Term_253 -28. 0. 0. 0. A Term_254 -14. 4. 0. 0. A Term_255 -21. 49. 0. 0. A Term_256 -18. -40. 0. 0. A Term_257 -6. 60. 0. 0. A Term_258 59. -50. 0. 0. A Term_259 -70. -26. 0. 0. A Term_260 -27. -68. 91. -15. A Term_261 43. 71. 0. 0. A Term_262 -23. 21. 0. 0. A Term_263 -9. 22. 0. 0. A Term_264 -4. -14. 0. 0. A Term_265 -6. 16. 0. 0. A Term_266 -14. 9. 0. 0. A Term_267 -16. 17. 0. 0. A Term_268 0. -3. 0. 0. A Term_269 -18. -29. 0. 0. A Term_270 -8. 7. 0. 0. A Term_271 42. 6. -444. 183. A Term_272 -5. -1. 0. 0. A Term_273 12. 9. 0. 0. A Term_274 7. -8. 0. 0. A Term_275 3. -3. 0. 0. A Term_276 -6. -3. 0. 0. A Term_277 -15. 26. 0. 0. A Term_278 12. 11. 0. 0. A Term_279 13. 23. 0. 0. A Term_280 1. -8. -11. -8. A Term_281 -26. 7. 0. 0. A Term_282 -28. -11. 0. 0. A Term_283 -3. -24. 0. 0. A Term_284 20. 7. 0. 0. A Term_285 -10. -1. 0. 0. A Term_286 20. 1. 0. 0. A Term_287 -10. 5. 0. 0. A Term_288 11. -7. 0. 0. A Term_289 -4. 5. 0. 0. A Term_290 -25. 19. 0. 0. A Term_291 18. -23. 0. 0. A Term_292 -19. -22. 0. 0. A Term_293 0. -21. 0. 0. A Term_294 -2. 6. 0. 0. A Term_295 11. 11. 9. -13. A Term_296 -10. 2. 0. 0. A Term_297 14. 25. 0. 0. A Term_298 -12. -4. 0. 0. A Term_299 -3. 3. 0. 0. A Term_300 5. -31. 0. 0. A Term_301 6. 1. 0. 0. A Term_302 2. 32. 0. 0. A Term_303 10. -5. 0. 0. A Term_304 -7. 2. -3. -12. A Term_305 11. -16. 75. -48. A Term_306 -3. -13. 0. 0. A Term_307 -25. 14. 0. 0. A Term_308 -17. -75. 49. -27. A Term_309 21. 30. 0. 0. A Term_310 23. -7. 0. 0. A Term_311 22. -16. 0. 0. A Term_312 -23. 10. 0. 0. A Term_313 -24. -1. 0. 0. A Term_314 25. 15. 0. 0. A Term_315 -1. 8. 0. 0. A Term_316 -14. -39. 0. 0. A Term_317 -14. 17. -13. -18. A Term_318 4. 5. 0. 0. A Term_319 9. 9. 0. 0. A Term_320 -2. -14. 0. 0. A Term_321 -1. 11. 0. 0. A Term_322 1. -3. 0. 0. A Term_323 0. 22. 0. 0. A Term_324 -11. -9. 0. 0. A Term_325 3. -8. 0. 0. A Term_326 -16. 2. 0. 0. A Term_327 6. 9. 0. 0. A Term_328 -30. -1. 0. 0. A Term_329 -8. 9. -5. -8. A Term_330 7. -9. 0. 0. A Term_331 -5. 0. 0. 0. A Term_332 5. 5. 0. 0. A Term_333 1. 1. 0. 0. A Term_334 -17. 6. 0. 0. A Term_335 1. -13. 0. 0. A Term_336 -9. 3. 0. 0. A Term_337 10. 14. 0. 0. A Term_338 -8. -7. 0. 0. A Term_339 -11. -15. 0. 0. A Term_340 20. -3. 0. 0. A Term_341 5. -56. -1448. 710. A Term_342 12. 5. -259. 120. A Term_343 -1. -22. 0. 0. A Term_344 10. 9. 0. 0. A Term_345 -10. 0. 0. 0. A Term_346 9. -13. 0. 0. A Term_347 3. 0. 0. 0. A Term_348 -3. -14. 0. 0. A Term_349 -7. 9. 0. 0. A Term_350 12. -10. 0. 0. A Term_351 3. 6. 0. 0. A Term_352 -9. 11. 0. 0. A Term_353 17. -12. 0. 0. A Term_354 10. -2. 0. 0. A Term_355 13. 1. 0. 0. A Term_356 -6. -22. 0. 0. A Term_357 22. -38. 0. 0. A Term_358 -1. -1. 0. 0. A Term_359 1. 5. 0. 0. A Term_360 10. 1. 0. 0. A Term_361 17. 0. -73. 59. A Term_362 18. 18. 0. 0. A Term_363 10. 23. 0. 0. A Term_364 4. -17. 0. 0. A Term_365 13. -9. 0. 0. A Term_366 -5. 1. 0. 0. A Term_367 -17. -20. 0. 0. A Term_368 4. 0. 0. 0. A Term_369 -10. -36. 0. 0. A Term_370 -70. 6. 18. -8. A Term_371 -6. -25. -408. 111. A Term_372 20. 29. -84. 18. A Term_373 -12. 2. 0. 0. A Term_374 11. -3. 0. 0. A Term_375 -1. 37. 0. 0. A Term_376 -37. 4. 0. 0. A Term_377 -5. -12. 0. 0. A Term_378 -8. 15. 0. 0. A Term_379 -20. 7. 0. 0. A Term_380 -11. -29. 0. 0. A Term_381 12. -30. 10. -4. A Term_382 18. -13. 0. 0. A Term_383 -17. 32. 0. 0. A Term_384 -14. -24. 0. 0. A Term_385 -1. -1. 0. 0. A Term_386 8. -19. 0. 0. A Term_387 7. 35. 0. 0. A Term_388 -18. -8. 0. 0. A Term_389 -10. 15. 0. 0. A Term_390 6. 47. 0. 0. A Term_391 -1. -19. -71. 18. A Term_392 -3. 6. 0. 0. A Term_393 4. 10. 0. 0. A Term_394 -28. 58. 0. 0. A Term_395 -14. 28. 0. 0. A Term_396 -1. -10. 0. 0. A Term_397 -1. -31. -66. -18. A Term_398 0. -8. 0. 0. A Term_399 -2. -8. 0. 0. A Term_400 15. 0. 0. 0. A Term_401 -6. 16. 0. 0. A Term_402 0. 4. 0. 0. A Term_403 9. -20. 0. 0. A Term_404 -11. 5. 0. 0. A Term_405 -8. -6. 0. 0. A Term_406 13. -1. 0. 0. A Term_407 2. 3. 0. 0. A Term_408 -22. 4. -44. 10. A Term_409 -17. 25. 0. 0. A Term_410 20. -19. 0. 0. A Term_411 -11. -45. 0. 0. A Term_412 41. 0. 0. 0. A Term_413 -16. -12. 29. -2. A Term_414 32. 11. -2. 20. A Term_415 38. -3. 26. 13. A Term_416 -37. 9. -6. -20. A Term_417 -32. -34. 0. -4. A Term_418 17. 23. 1. 9. A Term_419 -29. -10. 9. -23. A Term_420 -8. 37. -14. -5. A Term_421 33. 17. 0. 0. A Term_422 16. -4. 0. 0. A Term_423 16. -27. 0. 0. A Term_424 -4. 13. 0. 0. A Term_425 -1. -12. 0. 0. A Term_426 39. 0. 0. 0. A Term_427 27. 23. -18. 24. A Term_428 -15. -3. 18. -35. A Term_429 23. -6. -15. 19. A Term_430 -13. -4. 0. 0. A Term_431 36. -33. 5. -4. A Term_432 -25. -19. 35. -4. A Term_433 -24. -7. 12. 1. A Term_434 0. 18. 10. -2. A Term_435 30. -7. 16. 3. A Term_436 23. -9. 0. 0. A Term_437 -5. 38. 0. 0. A Term_438 8. 15. 0. 0. A Term_439 -27. -8. 0. 0. A Term_440 17. 6. 0. 0. A Term_441 -15. -10. 0. 0. A Term_442 7. -18. 0. 0. A Term_443 -49. 6. 0. 0. A Term_444 26. -19. 0. 0. A Term_445 -29. 37. 0. 0. A Term_446 37. -30. 0. 0. A Term_447 10. 17. 0. 0. A Term_448 22. 24. 0. 0. A Term_449 -39. 8. 0. 0. A Term_450 45. -13. 0. 0. A Term_451 11. 63. 0. 0. A Term_452 -57. -46. 0. 0. A Term_453 77. 34. 0. 0. A Term_454 -65. 16. 0. 0. A Term_455 19. -15. 0. 0. A Term_456 -2. -6. 0. 0. A Term_457 20. 7. 0. 0. A Term_458 -11. 4. 0. 0. A Term_459 -22. 6. 0. 0. A Term_460 -38. -11. 0. 0. A Term_461 -26. 16. 0. 0. A Term_462 -150. -21. 0. 0. A Term_463 -30. -19. 0. 0. A Term_464 -132. -46. 0. 0. A Term_465 611. 341. 0. 0. A Term_466 8. 0. 0. 0. A Term_467 6. -1. 0. 0. A Term_468 -4. 12. 0. 0. A Term_469 -21. -30. 0. 0. A Term_470 1. 15. 0. 0. A Term_471 -1. -14. 0. 0. A Term_472 -26. -25. 0. 0. A Term_473 13. -24. 0. 0. A Term_474 199. 153. 0. 0. A Term_475 -77. 50. 0. 0. A Term_476 -17. 10. 0. 0. A Term_477 -672. -565. 0. 0. A Term_478 -103. -12. 0. 0. A Term_479 0. -2. 0. 0. A Term_480 -11. 12. 0. 0. A Term_481 -17. -17. 0. 0. A Term_482 -17. -24. 0. 0. A Term_483 -10. 18. 0. 0. A Term_484 -10. -24. 0. 0. A Term_485 -20. -38. 0. 0. A Term_486 -12. -11. 0. 0. A Term_487 19. -16. 0. 0. A Term_488 -2. 16. 0. 0. A Term_489 -20. -2. 0. 0. A Term_490 14. -8. 0. 0. A Term_491 -2. 20. 0. 0. A Term_492 -22. -2. 0. 0. A Term_493 28. -4. 0. 0. A Term_494 -32. 4. 0. 0. A Term_495 12. -16. 0. 0. A Term_496 -18. 3. 0. 0. A Term_497 11. -15. 0. 0. A Term_498 11. -21. 0. 0. A Term_499 -13. -17. 0. 0. A Term_500 13. 10. 0. 0. A Term_501 16. -7. 0. 0. A Term_502 -7. 12. 0. 0. A Term_503 -13. 3. 0. 0. A Term_504 5. 3. 0. 0. A Term_505 1. 25. 0. 0. A Term_506 -22. -10. 0. 0. A Term_507 6. 5. 0. 0. A Term_508 -15. -16. 0. 0. A Term_509 22. 17. 0. 0. A Term_510 -22. -7. 0. 0. A Term_511 -6. 15. 0. 0. A Term_512 -4. -17. 0. 0. A Term_513 -1. 8. 0. 0. A Term_514 2. -6. 0. 0. A Term_515 20. 9. 0. 0. A Term_516 14. 6. 0. 0. A Term_517 -4. -1. 0. 0. A Term_518 -2. 10. 0. 0. A Term_519 -12. 11. 0. 0. A Term_520 -9. 4. 0. 0. A Term_521 -63. 42. 0. 0. A Term_522 -4. 20. 0. 0. A Term_523 -7. -29. 0. 0. A Term_524 -4. -14. 0. 0. A Term_525 -21. 0. 0. 0. A Term_526 -28. 10. 0. 0. A Term_527 -370. 161. 0. 0. A Term_528 13. -14. 0. 0. A Term_529 2. 1. 0. 0. A Term_530 -10. -10. 0. 0. A Term_531 -1. 2. 0. 0. A Term_532 -10. 0. 0. 0. A Term_533 -8. 21. 0. 0. A Term_534 -11. 10. 0. 0. A Term_535 -7. -17. 0. 0. A Term_536 -155. 9. 0. 0. A Term_537 -1. 11. 0. 0. A Term_538 12. 0. 0. 0. A Term_539 -19. 6. 0. 0. A Term_540 19. -6. 0. 0. A Term_541 -96. 13. 0. 0. A Term_542 -7. 0. 0. 0. A Term_543 7. -1. 0. 0. A Term_544 8. 26. 0. 0. A Term_545 -17. -14. 0. 0. A Term_546 15. 2. 0. 0. A Term_547 -15. 4. 0. 0. A Term_548 28. 1. 0. 0. A Term_549 1. 19. 0. 0. A Term_550 -1. -13. 0. 0. A Term_551 6. -8. 0. 0. A Term_552 0. -5. 0. 0. A Term_553 -22. 11. 0. 0. A Term_554 -4. -9. 0. 0. A Term_555 9. -7. 0. 0. A Term_556 10. 6. 0. 0. A Term_557 -10. 1. 0. 0. A Term_558 -11. -9. 0. 0. A Term_559 -2. -15. 0. 0. A Term_560 19. -4. 0. 0. A Term_561 -26. -1. 0. 0. A Term_562 14. 1. 0. 0. A Term_563 6. -26. 0. 0. A Term_564 28. 49. 0. 0. A Term_565 -23. -25. 0. 0. A Term_566 18. 25. 0. 0. A Term_567 -4. -23. 0. 0. A Term_568 -6. 5. 0. 0. A Term_569 9. -1. 0. 0. A Term_570 -6. -17. 0. 0. A Term_571 4. -2. 0. 0. A Term_572 8. 16. 0. 0. A Term_573 -6. -23. 0. 0. A Term_574 7. -6. 0. 0. A Term_575 -11. -1. 0. 0. A Term_576 5. 10. 0. 0. A Term_577 14. -11. 0. 0. A Term_578 0. 11. 0. 0. A Term_579 -15. 10. 0. 0. A Term_580 -3. -14. 0. 0. A Term_581 5. 7. 0. 0. A Term_582 -6. 10. 0. 0. A Term_583 14. 9. 0. 0. # # Rate of change of the amplitudes of harmonic variations in the Earth rotation # # Harmonic PM_rate_cos PM_rate_sin E3_rate_cos E3_rate_sin # 10^{-21} rad/s 10^{-21} rad/s # V Term_240 -863. -423. 0. 0. # HEO Format version of 2004.03.12