Starting program: hwtidc Reading script-file hwtidc.inp ... ;-------------------------------------------------------------------- ; demo script-file for program HWTIDC.C (written by Torsten Hartmann) ;-------------------------------------------------------------------- ; station coordinates: latitude [deg], longitude[deg], height [meter] ; here: BFO Schiltach 48.3306 8.33 589.0 ; starting time: year, month, day, hour [hour] */ ; here: J2000 2000 1 1 12.0 ; time step [hour], number of steps, cutoff amplitude [m**2/sec**2] ; here: daily values for one year, choose all tides (larger than) 24.0 365 1e-10 ; requested components (see hwtidc.doc for detailed description) ; here: use all components EXcluding the flattening terms TO ==> SU20 SU21 SU22 SU30 SU31 SU32 SU33 MO20 MO21 MO22 MO30 MO31 MO32 MO33 MO40 MO41 MO42 MO43 MO44 MO50 MO51 MO52 MO53 MO54 MO55 MO60 MO61 MO62 MO63 MO64 MO65 MO66 ME20 ME21 ME22 VE20 VE21 VE22 MA20 MA21 MA22 JU20 JU21 JU22 SA20 SA21 SA22 ; output files: NULL if not wanted ; tidal potential, gravity x,y,z (spherical), gravity x,y,z (ellipsoidal) tidpot.dat sphgravx.dat sphgravy.dat sphgravz.dat ellgravx.dat ellgravy.dat ellgravz.dat Opening file tidpot.dat ... Opening file sphgravx.dat ... Opening file sphgravy.dat ... Opening file sphgravz.dat ... Opening file ellgravx.dat ... Opening file ellgravy.dat ... Opening file ellgravz.dat ... Starting time JED is 2451545.000000 Station coordinates: ELL: lat: 48.33060000, long: 8.33000000, height: 589.000000 GEO: r: 6366836.936554, theta: 41.86058157, phi: 8.33000000 l m Plm PlmDeriv coeff_tid_pot coeff_gravity (x,y,z) 1 0 1.28998091 -1.15583271 1.28769561 181217.9 0.0 202250.4 1 1 1.15583271 1.28998091 1.15378506 -202250.4 -271560.6 181217.9 2 0 0.74243131 -3.33398212 0.73980309 521794.4 0.0 232392.7 2 1 1.92487547 0.42357722 1.91806138 -66293.2 -451444.6 602516.3 2 2 0.86235153 1.92487547 0.85929879 -301258.1 -404497.8 269929.6 3 0 -0.22323755 -4.69662325 -0.22205320 733756.2 0.0 -104629.6 3 1 1.91738841 -3.23356042 1.90721605 505181.0 -448891.9 898664.2 3 2 1.69924506 2.27038903 1.69023001 -354704.2 -795642.0 796422.2 3 3 0.62157292 2.08114167 0.61827528 -325138.0 -436561.1 291326.1 4 0 -1.07697067 -3.29058611 -1.06935917 513179.5 0.0 -671830.7 4 1 1.04057470 -7.97270639 1.03322043 1243374.0 -243183.9 649126.4 4 2 2.15291675 -0.39079242 2.13770101 60945.6 -1006280.1 1343022.3 4 3 1.38878814 3.40555607 1.37897287 -531109.5 -973685.9 866347.2 4 4 0.43994937 1.96404302 0.43684003 -306300.0 -411267.4 274447.1 5 0 -1.37227709 1.26329082 -1.36016461 -196666.0 0.0 -1068163.5 5 1 -0.32618029 -10.26557523 -0.32330124 1598119.4 76093.8 -253894.7 5 2 1.87121476 -5.90276705 1.85469838 918928.2 -873062.2 1456530.5 5 3 2.05747958 2.27821868 2.03931912 -354667.5 -1439953.2 1601516.7 5 4 1.08673011 3.87771407 1.07713802 -603672.9 -1014082.5 845897.3 5 5 0.30791681 1.71827117 0.30519896 -267496.2 -359165.8 239678.6 6 0 -0.95832270 6.99596576 -0.94818125 -1087185.2 0.0 -893550.1 6 1 -1.52664489 -7.07934234 -1.51048917 1100142.1 355516.3 -1423459.6 6 2 0.84994308 -11.55252833 0.84094856 1795282.9 -395859.8 792495.8 6 3 2.24161777 -2.40569442 2.21789585 373849.1 -1566045.3 2090107.7 6 4 1.80950140 4.19978349 1.79035235 -652653.6 -1685545.3 1687197.9 6 5 0.82685190 3.87322414 0.81810174 -601905.7 -962762.7 770965.3 6 6 0.21386947 1.43214950 0.21160620 -222558.5 -298828.2 199414.1 Counting lines in file HW95.DAT ... 13125 lines found. File: HW95.DAT Status: 19950626 Contents: Hartmann and Wenzel (1995) tidal potential catalogue, with 12935 tidal waves in total and 19300 adjusted parameters in total, sorted to increasing frequency. All potential coefficients are rounded to 10**-10 m**2/s**2, which corresponds to 3*10**-17 m/s**2 = 0.03 pgal in gravity. Note that there exist in the catalogue some tidal waves which have the same frequency but are generated by different celestial bodies or are related to different degree of the tidal potential. Note that the tidal potential coefficients need not to be normalized by a so-called Doodson-constant (and by the geodetic coefficients), but only by the corresponding fully normalized associated Legendre function of the stations spherical latitude. The tidal potential and the gravity tide can be computed using the HW95 catalogue with programs HWTID.FOR and HWTID.C, supplied on request by the authors. The tidal potential catalogues published by Doodson (1921), Cartwright and Tayler (1971) and Cartwright and Edden (1973), Buellesfeld (1985), Tamura (1987) and Xi (1989) have been transformed into an identical normalization and format and are also available on request by the authors. References: ----------- Hartmann, T. and H.-G. Wenzel (1994): Catalogue of the earth tide generating potential due to the planets. Geophysical Research Letters, vol.21, pp. 1991-1993, 1994. Hartmann, T. and H.-G. Wenzel (1994): Catalogue of the earth tide generating potential due to the planets. Bulletin d'Informa- tions Marees Terrestres, vol. 119, 8847-8880, Bruxelles 1994. Hartmann, T. and H.-G. Wenzel (1995): The HW95 tidal potential catalogue (in preparation). Accuracy: --------- This tidal potential catalog has been validated by comparison with different gravity tide benchmark series, and it is accurate to 1.4 pm/s**2 ( = 0.14 ngal) rms error in time domain and 0.02 pm/s**2 ( = 0.002 ngal) rms error in frequency domain between years 1900 and 2100. Comparison in time domain: -------------------------- Note the the series GTIDE01.DAT has been computed with program GTIDE (Merriam 1992) for which the author claims an accuracy of 10 pm/s**2 = 1 ngal only. benchmark series epoch no.of rms diff. min diff. max.diff. samples (pm/s**2) (pm/s**2) (pm/s**2) GTIDE01.DAT 1987-1993 61368 3.951 -27.072 15.595 BFDE200A.DAT 1987-1993 61368 1.415 -9.280 10.438 BFDE200B.DAT 2017-2023 61344 1.309 -10.020 8.639 BFDE200C.DAT 1901-1907 61344 1.230 -6.315 7.895 BFDE200D.DAT 2093-2100 61344 1.413 -9.871 10.685 Comparison in frequency domain: ------------------------------- benchmark series epoch no.of rms diff. max. diff. samples (pm/s**2) (pm/s**2) GTIDE01.DAT 1987-1993 32768 0.050 2.649 BFDE200A.DAT 1987-1993 32768 0.021 0.335 BFDE200B.DAT 2017-2023 32768 0.017 0.232 BFDE200C.DAT 1901-1907 32768 0.017 0.546 BFDE200D.DAT 2093-2100 32768 0.017 0.364 Statistics (nw=number of waves, nu=number of adjusted parameters): Moon l = 2 m = 0 nw = 1568 nu = 2502 Moon l = 2 m = 1 nw = 1915 nu = 3074 Moon l = 2 m = 2 nw = 1353 nu = 2256 Moon l = 3 m = 0 nw = 643 nu = 817 Moon l = 3 m = 1 nw = 1065 nu = 1340 Moon l = 3 m = 2 nw = 926 nu = 1177 Moon l = 3 m = 3 nw = 696 nu = 917 Moon l = 4 m = 0 nw = 256 nu = 283 Moon l = 4 m = 1 nw = 419 nu = 458 Moon l = 4 m = 2 nw = 363 nu = 403 Moon l = 4 m = 3 nw = 364 nu = 399 Moon l = 4 m = 4 nw = 226 nu = 254 Moon l = 5 m = 0 nw = 38 nu = 39 Moon l = 5 m = 1 nw = 59 nu = 59 Moon l = 5 m = 2 nw = 69 nu = 71 Moon l = 5 m = 3 nw = 62 nu = 62 Moon l = 5 m = 4 nw = 66 nu = 68 Moon l = 5 m = 5 nw = 53 nu = 55 Moon l = 6 m = 0 nw = 1 nu = 1 Moon l = 6 m = 1 nw = 2 nu = 2 Moon l = 6 m = 2 nw = 2 nu = 2 Moon l = 6 m = 3 nw = 2 nu = 2 Moon l = 6 m = 4 nw = 2 nu = 2 Moon l = 6 m = 5 nw = 3 nu = 3 Moon l = 6 m = 6 nw = 2 nu = 2 Sun l = 2 m = 0 nw = 227 nu = 410 Sun l = 2 m = 1 nw = 370 nu = 674 Sun l = 2 m = 2 nw = 308 nu = 575 Sun l = 3 m = 0 nw = 7 nu = 9 Sun l = 3 m = 1 nw = 13 nu = 16 Sun l = 3 m = 2 nw = 12 nu = 14 Sun l = 3 m = 3 nw = 8 nu = 11 Earth flattening by Moon l = 3 m = 0 nw = 141 nu = 153 Earth flattening by Moon l = 3 m = 1 nw = 206 nu = 219 Earth flattening by Sun l = 3 m = 0 nw = 2 nu = 2 Earth flattening by Sun l = 3 m = 1 nw = 3 nu = 3 Mercury l = 2 m = 0 nw = 12 nu = 24 Mercury l = 2 m = 1 nw = 35 nu = 70 Mercury l = 2 m = 2 nw = 27 nu = 54 Venus l = 2 m = 0 nw = 173 nu = 346 Venus l = 2 m = 1 nw = 407 nu = 814 Venus l = 2 m = 2 nw = 281 nu = 562 Mars l = 2 m = 0 nw = 68 nu = 136 Mars l = 2 m = 1 nw = 195 nu = 390 Mars l = 2 m = 2 nw = 133 nu = 266 Jupiter l = 2 m = 0 nw = 26 nu = 52 Jupiter l = 2 m = 1 nw = 56 nu = 112 Jupiter l = 2 m = 2 nw = 45 nu = 90 Saturn l = 2 m = 0 nw = 5 nu = 10 Saturn l = 2 m = 1 nw = 12 nu = 24 Saturn l = 2 m = 2 nw = 8 nu = 16 total sum nw = 12962 np = 19300 Format of the file: Col. 1... 6: sequence number (1...12935). The end of this file is marked by a sequence number of 999999. Col. 7... 9: body generating the potential. MO = Moon, SU = Sun, ME = Mercury, VE= Venus, MA = Mars, JU= Jupiter, SA = Saturn, FM = quadrupole moment of the Earth on Moon, FS = quadrupole moment of the Earth on Sun. Col. 10... 11: l = degree of the spherical harmonic development. Col. 12... 14: m = order of the spherical harmonic development, equal k1 = integer argument number for the mean local Moontime, period 24 hours 50 min. Col. 15... 17: k2 = integer argument number for the mean longitude of the Moon, period 27.3 days. Col. 18... 20: k3 = integer argument number for the mean longitude of the Sun, period 365.25 days. Col. 21... 23: k4 = integer argument number for the mean longitude of the lunar perigee, period 8.8 years. Col. 24... 26: k5 = integer argument number for the negative mean longitude of the lunar ascending node, period 18.6 years. Col. 27... 29: k6 = integer argument number for the mean longitude of the solar perigee, period 20942 years. Col. 30... 32: k7 = integer argument number for the mean longitude of Mercury, period 88 days. Col. 33... 35: k8 = integer argument number for the mean longitude of Venus, period 225 days. Col. 36... 38: k9 = integer argument number for the mean longitude of Mars, period 1.88 years. Col. 39... 41: k10= integer argument number for the mean longitude of Jupiter, period 11.86 years. Col. 42... 44: k11= integer argument number for the mean longitude of Saturn, period 29.4 years. Col. 45... 56: fr= frequency of the tidal wave at J2000 in degree per hour. Col. 57... 68: C0 = COS-coefficient of the tidal potential in 10**-10 m**2/s**2. The C0 coefficient has to be multiplied with the COS of the argument. Col. 69... 80: S0 = SIN-coefficient of the tidal potential in 10**-10 m**2/s**2. The S0 coefficient has to be multiplied with the SIN of the argument. Col. 81... 90: C1 = t*COS-coefficent of the tidal potential in 10**-10 m**2/s**2 per Julian century. The C1 coefficient has to be multiplied with the time difference between the epoch and J2000 (in Julian centuries) and with the COS of the argument. Col. 91...100: S1 = t*SIN-coefficent of the tidal potential in 10**-10 m**2/s**2 per Julian century. The S1 coefficient has to be multiplied with the time difference between the epoch and J2000 (in Julian centuries) and with the SIN of the argument. Col.102...105: nam= Darwin name of the tidal wave (for very few main tidal waves available only). number l m k k k k k k k k k k frequency C0 S0 C1 S1 nam 2 3 4 5 6 7 8 9 10 11 (deg/hour) C******************************************************************************************************** File HW95.DAT contains 12935 tides. 0 tides have amplitudes less than 1e-10 m**2/s**2. Using 12583 tides. This threshold corresponds ROUGHLY to: RMS: 2.1 pm/s**2, MAX: 18.3 pm/s**2, MIN: 17.7 pm/s**2. Starting computation: -2.0541962719 -306963.2 178646.0 -646560.3 -304804.1 178646.0 -647580.9 -1.9514585157 -379470.5 226468.3 -614847.3 -377416.8 226468.3 -616110.1 -1.8410865759 -463947.6 243744.1 -580625.7 -462007.6 243744.1 -582170.6 -1.7311651852 -550655.1 228787.1 -546442.7 -548828.7 228787.1 -548277.1 -1.6307001003 -629613.8 182516.5 -515140.6 -627891.4 182516.5 -517238.6 -1.5494720297 -691169.2 108865.6 -489810.0 -689531.0 108865.6 -492113.5 -1.4974007232 -726934.9 15014.6 -473587.0 -725350.6 15014.6 -476009.9 -1.4834780137 -730948.2 -88804.2 -469312.2 -729378.2 -88804.2 -471748.6 -1.5144860944 -700771.1 -190016.5 -479121.0 -699168.5 -190016.5 -481456.6 -1.5936909863 -638317.4 -274843.3 -504025.7 -636632.0 -274843.3 -506152.8 -1.7195805506 -550323.2 -329716.4 -543515.1 -548506.5 -329716.4 -545348.4 -1.8846192906 -448493.1 -342909.3 -595162.4 -446504.7 -342909.3 -596655.6 -2.0739174359 -349309.2 -306523.1 -654213.9 -347124.3 -306523.1 -655375.8 -2.2640710877 -273174.0 -219104.7 -713243.3 -270792.6 -219104.7 -714150.8 -2.4232941714 -242066.5 -88910.3 -762225.4 -239521.8 -88910.3 -763028.8 -2.5148373950 -274617.8 63140.0 -789652.0 -271981.4 63140.0 -790563.9 -2.5058136863 -378297.7 203356.8 -785336.4 -375675.1 203356.8 -786594.3 -2.3812095173 -541013.6 291517.9 -744799.8 -538525.4 291517.9 -746600.8 -2.1572807177 -727922.8 294735.0 -673395.1 -725671.8 294735.0 -675820.2 -1.8837364273 -889622.7 203831.3 -586873.8 -887659.5 203831.3 -589838.9 -1.6278444431 -981116.1 41229.3 -506330.3 -979421.1 41229.3 -509601.2 -1.4472155431 -980871.9 -147461.6 -449708.0 -979365.9 -147461.6 -452978.4 -1.3687364943 -897309.7 -313520.8 -425301.1 -895885.6 -313520.8 -428292.8 -1.3857425245 -760103.4 -423248.6 -430944.3 -758661.2 -423248.6 -433478.2 -1.4702175093 -604910.2 -464531.8 -457841.7 -603379.2 -464531.8 -459857.6 -1.5882956100 -461543.8 -442724.3 -495390.0 -459888.2 -442724.3 -496927.3 -1.7104938466 -349379.2 -372495.2 -534355.0 -347594.3 -372495.2 -535517.8 -1.8151734057 -278164.3 -271058.8 -567944.6 -276267.6 -271058.8 -568869.6 -1.8877672663 -250889.5 -154592.0 -591566.2 -248914.2 -154592.0 -592400.1 -1.9186765136 -266409.0 -37251.1 -602171.5 -264398.2 -37251.1 -603057.0 -1.9016551944 -320922.4 68480.8 -597752.0 -318926.0 68480.8 -598819.5 -1.8334284887 -408327.0 151209.1 -577222.3 -406398.7 151209.1 -578581.6 -1.7145628772 -519848.4 200512.1 -540698.0 -518041.3 200512.1 -542429.6 -1.5512038697 -643516.4 207654.1 -490051.3 -641877.6 207654.1 -492195.8 -1.3569663258 -764118.4 167168.8 -429521.2 -762681.0 167168.8 -432068.5 -1.1539191201 -864195.8 78986.0 -366038.4 -862969.7 78986.0 -368920.0 -0.9715858210 -926358.7 -49614.1 -308920.2 -925322.7 -49614.1 -312009.5 -0.8433583339 -936689.5 -203124.2 -268734.6 -935787.5 -203124.2 -271858.6 -0.8005109834 -888472.4 -358734.9 -255387.6 -887615.3 -358734.9 -258350.7 -0.8648895504 -785200.2 -489283.1 -275779.9 -784275.6 -489283.1 -278398.3 -1.0418411249 -641939.0 -567843.0 -331542.4 -640829.1 -567843.0 -333682.5 -1.3147906738 -484536.6 -573230.9 -417317.3 -483141.4 -573230.9 -418931.7 -1.6427247393 -346448.6 -495691.2 -520000.6 -344711.6 -495691.2 -521153.7 -1.9622226821 -262961.4 -341941.1 -619467.6 -260893.0 -341941.1 -620341.6 -2.1963096386 -262731.9 -138106.6 -691475.9 -260423.1 -138106.6 -692348.7 -2.2720948027 -357642.9 71948.6 -713307.7 -355260.7 71948.6 -714497.1 -2.1455253811 -534345.9 235544.3 -671542.6 -532102.2 235544.3 -673321.9 -1.8242520954 -753075.2 307266.4 -569079.7 -751172.1 307266.4 -571589.4 -1.3741318792 -957990.8 266487.2 -426924.9 -956560.9 266487.2 -430119.1 -0.8999228210 -1096706.8 126483.4 -277956.5 -1095773.2 126483.4 -281614.4 -0.5071563218 -1139108.1 -71450.7 -155003.0 -1138584.5 -71450.7 -158803.0 -0.2664287380 -1084982.1 -275590.8 -79855.1 -1084709.6 -275590.8 -83475.0 -0.1985554013 -958035.2 -442215.3 -58814.0 -957833.7 -442215.3 -62010.4 -0.2824689324 -792696.6 -545731.5 -85234.9 -792407.8 -545731.5 -87879.4 -0.4742638989 -622130.8 -578936.1 -145445.4 -621642.0 -578936.1 -147520.5 -0.7247343837 -471829.7 -547564.4 -224154.5 -471079.2 -547564.4 -225727.6 -0.9894608960 -358463.5 -464020.2 -307549.5 -357435.3 -464020.2 -308743.9 -1.2317967311 -291551.0 -343017.7 -384203.2 -290267.4 -343017.7 -385173.9 -1.4217996926 -275679.7 -199664.1 -444732.1 -274194.2 -199664.1 -445649.5 -1.5341964318 -311957.6 -49339.8 -481156.7 -310350.3 -49339.8 -482194.9 -1.5475455108 -398214.2 91592.1 -486638.6 -396588.2 91592.1 -487964.6 -1.4459070323 -528008.8 205230.4 -456008.8 -526484.3 205230.4 -457768.1 -1.2235102924 -688944.2 272679.7 -387253.7 -687648.2 272679.7 -389550.4 -0.8916914639 -861263.8 276475.6 -283742.3 -860312.2 276475.6 -286614.6 -0.4856345952 -1018124.6 205130.7 -156420.1 -1017597.0 205130.7 -159816.5 -0.0667309468 -1128927.1 58930.4 -24627.6 -1128838.6 58930.4 -28394.4 0.2838832727 -1166117.0 -145285.1 85905.9 -1166397.1 -145285.1 82014.4 0.4823859651 -1113980.0 -373351.8 148503.8 -1114469.3 -373351.8 144785.9 0.4663981825 -976101.6 -579089.4 143303.9 -976574.3 -579089.4 140046.1 0.2177394296 -777837.4 -715101.4 64594.3 -778048.6 -715101.4 61998.5 -0.2253626624 -561989.6 -745687.9 -75284.6 -561735.3 -745687.9 -77159.4 -0.7717602495 -378749.8 -657494.3 -247162.3 -377923.0 -657494.3 -248424.7 -1.2960647018 -272966.8 -464608.6 -411180.7 -271593.3 -464608.6 -412089.2 -1.6679821684 -272223.8 -206746.9 -526291.2 -270466.2 -206746.9 -527196.6 -1.7858761247 -378739.2 59290.0 -560926.1 -376865.4 59290.0 -562186.8 -1.6064358194 -567556.4 273500.3 -502195.0 -565877.6 273500.3 -504086.0 -1.1604658282 -792575.6 388791.4 -360507.4 -791368.2 388791.4 -363150.0 -0.5461987279 -999661.8 384178.2 -167105.1 -999098.6 384178.2 -170439.8 0.1005440736 -1142609.0 269620.4 35482.0 -1142721.0 269620.4 31669.2 0.6481249630 -1195540.4 80201.5 206430.0 -1196222.6 80201.5 202439.6 1.0045675440 -1156862.7 -137289.4 317447.8 -1157915.5 -137289.4 313585.9 1.1331233737 -1044569.9 -338712.1 357384.5 -1045756.6 -338712.1 353897.1 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