# MF4x # CHAMP scalar data 9-Aug-2000 to 31-Mar-2005 # CHAMP vector data 9-Aug-2000 to 31-Dec-2004 # Main field POMME-2,5, subtracted up to deg 15 # Subtracted 8 constituents of tidal ocean flow signal # Flow model TPXO, magnetic signal prediction by A. Kuvshinov # Local functions to SH degree 90 at low and 60 at high latitudes 2002.50 epoch 90 max degree of internal field 0 max degree of secular field 0 max degree of external field 6371.2 reference radius # n m gnm hnm gdotnm hdotnm 1 0 0 0 0 0 1 1 0 0 0 0 2 0 0 0 0 0 2 1 0 0 0 0 2 2 0 0 0 0 3 0 0 0 0 0 3 1 0 0 0 0 3 2 0 0 0 0 3 3 0 0 0 0 4 0 0 0 0 0 4 1 0 0 0 0 4 2 0 0 0 0 4 3 0 0 0 0 4 4 0 0 0 0 5 0 0 0 0 0 5 1 0 0 0 0 5 2 0 0 0 0 5 3 0 0 0 0 5 4 0 0 0 0 5 5 0 0 0 0 6 0 0 0 0 0 6 1 0 0 0 0 6 2 0 0 0 0 6 3 0 0 0 0 6 4 0 0 0 0 6 5 0 0 0 0 6 6 0 0 0 0 7 0 0 0 0 0 7 1 0 0 0 0 7 2 0 0 0 0 7 3 0 0 0 0 7 4 0 0 0 0 7 5 0 0 0 0 7 6 0 0 0 0 7 7 0 0 0 0 8 0 0 0 0 0 8 1 0 0 0 0 8 2 0 0 0 0 8 3 0 0 0 0 8 4 0 0 0 0 8 5 0 0 0 0 8 6 0 0 0 0 8 7 0 0 0 0 8 8 0 0 0 0 9 0 0 0 0 0 9 1 0 0 0 0 9 2 0 0 0 0 9 3 0 0 0 0 9 4 0 0 0 0 9 5 0 0 0 0 9 6 0 0 0 0 9 7 0 0 0 0 9 8 0 0 0 0 9 9 0 0 0 0 10 0 0 0 0 0 10 1 0 0 0 0 10 2 0 0 0 0 10 3 0 0 0 0 10 4 0 0 0 0 10 5 0 0 0 0 10 6 0 0 0 0 10 7 0 0 0 0 10 8 0 0 0 0 10 9 0 0 0 0 10 10 0 0 0 0 11 0 0 0 0 0 11 1 0 0 0 0 11 2 0 0 0 0 11 3 0 0 0 0 11 4 0 0 0 0 11 5 0 0 0 0 11 6 0 0 0 0 11 7 0 0 0 0 11 8 0 0 0 0 11 9 0 0 0 0 11 10 0 0 0 0 11 11 0 0 0 0 12 0 0 0 0 0 12 1 0 0 0 0 12 2 0 0 0 0 12 3 0 0 0 0 12 4 0 0 0 0 12 5 0 0 0 0 12 6 0 0 0 0 12 7 0 0 0 0 12 8 0 0 0 0 12 9 0 0 0 0 12 10 0 0 0 0 12 11 0 0 0 0 12 12 0 0 0 0 13 0 0 0 0 0 13 1 0 0 0 0 13 2 0 0 0 0 13 3 0 0 0 0 13 4 0 0 0 0 13 5 0 0 0 0 13 6 0 0 0 0 13 7 0 0 0 0 13 8 0 0 0 0 13 9 0 0 0 0 13 10 0 0 0 0 13 11 0 0 0 0 13 12 0 0 0 0 13 13 0 0 0 0 14 0 0 0 0 0 14 1 0 0 0 0 14 2 0 0 0 0 14 3 0 0 0 0 14 4 0 0 0 0 14 5 0 0 0 0 14 6 0 0 0 0 14 7 0 0 0 0 14 8 0 0 0 0 14 9 0 0 0 0 14 10 0 0 0 0 14 11 0 0 0 0 14 12 0 0 0 0 14 13 0 0 0 0 14 14 0 0 0 0 15 0 0 0 0 0 15 1 0 0 0 0 15 2 0 0 0 0 15 3 0 0 0 0 15 4 0 0 0 0 15 5 0 0 0 0 15 6 0 0 0 0 15 7 0 0 0 0 15 8 0 0 0 0 15 9 0 0 0 0 15 10 0 0 0 0 15 11 0 0 0 0 15 12 0 0 0 0 15 13 0 0 0 0 15 14 0 0 0 0 15 15 0 0 0 0 16 0 -0.130007 0 0 0 16 1 0.087139 0.284033 0 0 16 2 -0.263905 0.111271 0 0 16 3 0.061565 0.184078 0 0 16 4 0.000718 -0.033794 0 0 16 5 -0.008323 -0.080466 0 0 16 6 0.044483 -0.072194 0 0 16 7 -0.019761 -0.080379 0 0 16 8 0.138251 0.053250 0 0 16 9 -0.161946 0.055067 0 0 16 10 0.143605 -0.148775 0 0 16 11 0.167766 -0.040573 0 0 16 12 0.046308 -0.052490 0 0 16 13 -0.056845 -0.093009 0 0 16 14 -0.084460 0.129792 0 0 16 15 0.021094 -0.004123 0 0 16 16 -0.051862 -0.072469 0 0 17 0 -0.027500 0 0 0 17 1 -0.047180 0.078541 0 0 17 2 0.020583 -0.218558 0 0 17 3 0.258128 -0.052553 0 0 17 4 0.181322 -0.098872 0 0 17 5 -0.030147 -0.141965 0 0 17 6 0.018531 -0.019331 0 0 17 7 -0.064739 -0.196249 0 0 17 8 0.165691 0.036152 0 0 17 9 0.062401 -0.026464 0 0 17 10 0.006094 -0.050868 0 0 17 11 -0.140231 0.067744 0 0 17 12 -0.095661 0.112932 0 0 17 13 0.029819 -0.067470 0 0 17 14 -0.034237 -0.032448 0 0 17 15 -0.039977 0.089800 0 0 17 16 0.014361 -0.127345 0 0 17 17 0.015773 -0.016784 0 0 18 0 0.209749 0 0 0 18 1 0.041814 0.031380 0 0 18 2 0.091534 0.096317 0 0 18 3 0.152201 -0.152857 0 0 18 4 -0.026287 0.109484 0 0 18 5 0.033176 -0.019933 0 0 18 6 0.118617 0.085227 0 0 18 7 -0.027540 -0.195771 0 0 18 8 -0.015676 -0.071918 0 0 18 9 -0.029712 -0.055275 0 0 18 10 0.032271 0.149618 0 0 18 11 -0.040864 0.105632 0 0 18 12 -0.067231 -0.085643 0 0 18 13 0.007491 -0.030325 0 0 18 14 0.001288 0.089359 0 0 18 15 0.006326 -0.017944 0 0 18 16 -0.053193 0.077703 0 0 18 17 0.064729 -0.048131 0 0 18 18 0.022645 -0.057262 0 0 19 0 -0.025523 0 0 0 19 1 0.381275 0.062310 0 0 19 2 -0.057210 0.034800 0 0 19 3 0.021996 -0.047309 0 0 19 4 0.022240 0.103892 0 0 19 5 0.044767 -0.250953 0 0 19 6 -0.033794 -0.000839 0 0 19 7 0.108684 -0.058428 0 0 19 8 0.020510 0.012094 0 0 19 9 0.085911 -0.024278 0 0 19 10 -0.077344 0.100325 0 0 19 11 0.010143 0.098082 0 0 19 12 -0.091574 0.015884 0 0 19 13 0.023444 0.006052 0 0 19 14 0.037181 -0.110315 0 0 19 15 0.091548 0.084417 0 0 19 16 -0.035649 0.051072 0 0 19 17 -0.020946 0.001711 0 0 19 18 0.036915 -0.046707 0 0 19 19 -0.013322 -0.034977 0 0 20 0 -0.086462 0 0 0 20 1 0.194688 0.007347 0 0 20 2 -0.061185 0.191641 0 0 20 3 0.143476 0.021360 0 0 20 4 -0.156994 -0.310279 0 0 20 5 0.281745 0.072058 0 0 20 6 0.164189 0.097405 0 0 20 7 -0.080091 0.130950 0 0 20 8 -0.079262 -0.111492 0 0 20 9 0.093712 -0.104554 0 0 20 10 -0.015800 -0.068410 0 0 20 11 -0.170902 0.029913 0 0 20 12 -0.018947 0.033179 0 0 20 13 -0.038754 0.024303 0 0 20 14 0.071052 -0.172917 0 0 20 15 0.000983 0.065678 0 0 20 16 -0.005334 0.057056 0 0 20 17 -0.036876 -0.009449 0 0 20 18 -0.038020 0.059078 0 0 20 19 -0.012302 0.017945 0 0 20 20 0.000167 -0.050610 0 0 21 0 -0.155195 0 0 0 21 1 0.025517 0.334591 0 0 21 2 -0.078012 0.066225 0 0 21 3 0.101702 0.142517 0 0 21 4 -0.070616 0.053342 0 0 21 5 0.171376 -0.144044 0 0 21 6 -0.110516 0.109246 0 0 21 7 0.013812 -0.057721 0 0 21 8 -0.095786 -0.117035 0 0 21 9 0.060830 -0.147630 0 0 21 10 -0.099167 -0.064209 0 0 21 11 0.041267 -0.069847 0 0 21 12 -0.061316 -0.172857 0 0 21 13 -0.022893 -0.023508 0 0 21 14 0.021827 -0.051939 0 0 21 15 -0.008491 -0.058761 0 0 21 16 -0.030602 -0.070085 0 0 21 17 -0.047091 -0.135241 0 0 21 18 -0.119140 0.051417 0 0 21 19 0.010793 0.009806 0 0 21 20 0.022410 -0.025326 0 0 21 21 0.021044 0.058887 0 0 22 0 0.059597 0 0 0 22 1 -0.079106 0.113736 0 0 22 2 -0.069126 -0.085444 0 0 22 3 0.018504 0.283788 0 0 22 4 -0.118781 0.111979 0 0 22 5 -0.043673 0.000201 0 0 22 6 0.019522 -0.062829 0 0 22 7 -0.176103 -0.032083 0 0 22 8 -0.034339 -0.159912 0 0 22 9 -0.112222 0.030568 0 0 22 10 0.135579 0.069767 0 0 22 11 -0.095496 -0.227554 0 0 22 12 -0.130486 -0.096723 0 0 22 13 -0.003419 0.082456 0 0 22 14 0.109023 -0.035750 0 0 22 15 -0.066703 -0.134545 0 0 22 16 0.046752 -0.096115 0 0 22 17 -0.091062 -0.002176 0 0 22 18 -0.072143 -0.045384 0 0 22 19 -0.019560 -0.011958 0 0 22 20 0.079187 0.039763 0 0 22 21 0.025534 -0.010661 0 0 22 22 0.045198 -0.025516 0 0 23 0 0.174164 0 0 0 23 1 0.118513 0.190247 0 0 23 2 -0.251078 0.140366 0 0 23 3 0.148166 0.120542 0 0 23 4 0.011194 -0.189230 0 0 23 5 -0.207263 0.096956 0 0 23 6 0.014304 0.051641 0 0 23 7 -0.020770 -0.070816 0 0 23 8 -0.143965 -0.089456 0 0 23 9 -0.228413 -0.062794 0 0 23 10 0.159270 -0.025785 0 0 23 11 0.084741 0.087428 0 0 23 12 0.103387 -0.063890 0 0 23 13 -0.224256 -0.089526 0 0 23 14 -0.061439 0.249865 0 0 23 15 0.017627 -0.028073 0 0 23 16 0.077505 0.066078 0 0 23 17 0.014965 0.015863 0 0 23 18 -0.025571 -0.012907 0 0 23 19 0.025700 0.084012 0 0 23 20 0.159780 0.029999 0 0 23 21 0.085410 -0.020009 0 0 23 22 0.063713 -0.054781 0 0 23 23 0.086228 0.030974 0 0 24 0 0.006260 0 0 0 24 1 -0.039256 -0.052303 0 0 24 2 0.294073 -0.090970 0 0 24 3 0.023977 -0.027192 0 0 24 4 0.030953 -0.083564 0 0 24 5 -0.109793 0.056493 0 0 24 6 0.141506 0.102850 0 0 24 7 0.044172 0.090850 0 0 24 8 0.242448 0.190222 0 0 24 9 -0.068891 -0.175519 0 0 24 10 -0.013320 0.116574 0 0 24 11 0.173961 0.182908 0 0 24 12 0.124711 0.086623 0 0 24 13 0.116900 0.018126 0 0 24 14 -0.081134 -0.017659 0 0 24 15 -0.057742 0.039104 0 0 24 16 0.086345 0.173668 0 0 24 17 0.049294 0.051312 0 0 24 18 -0.002177 -0.020225 0 0 24 19 0.007139 0.078334 0 0 24 20 -0.042932 0.077249 0 0 24 21 0.005302 0.041736 0 0 24 22 -0.054257 -0.004275 0 0 24 23 -0.004248 -0.016813 0 0 24 24 0.006122 0.000690 0 0 25 0 0.179177 0 0 0 25 1 0.080969 0.120574 0 0 25 2 0.009733 -0.260554 0 0 25 3 0.116840 0.205747 0 0 25 4 0.119567 0.140018 0 0 25 5 -0.054845 0.008940 0 0 25 6 0.148331 -0.031619 0 0 25 7 -0.138725 0.237763 0 0 25 8 0.013400 0.207775 0 0 25 9 0.087678 0.185491 0 0 25 10 0.100028 -0.057257 0 0 25 11 -0.031819 -0.002641 0 0 25 12 0.082573 0.295295 0 0 25 13 0.197456 0.081081 0 0 25 14 -0.116108 0.035940 0 0 25 15 -0.012841 -0.143260 0 0 25 16 0.014147 -0.060350 0 0 25 17 -0.006508 0.223300 0 0 25 18 0.206985 0.028782 0 0 25 19 0.058463 -0.055066 0 0 25 20 -0.039439 -0.034583 0 0 25 21 -0.047207 -0.000501 0 0 25 22 0.015611 -0.013232 0 0 25 23 -0.091570 -0.024476 0 0 25 24 0.026671 -0.005754 0 0 25 25 0.038838 -0.038000 0 0 26 0 0.193149 0 0 0 26 1 0.209076 -0.104829 0 0 26 2 -0.125222 -0.314128 0 0 26 3 -0.034723 0.120856 0 0 26 4 0.024674 0.231772 0 0 26 5 -0.186008 0.057106 0 0 26 6 -0.141331 -0.195256 0 0 26 7 0.180843 0.068484 0 0 26 8 -0.017533 0.085264 0 0 26 9 0.184559 0.006090 0 0 26 10 -0.142608 -0.061132 0 0 26 11 0.063825 0.133020 0 0 26 12 0.240033 0.034589 0 0 26 13 -0.164968 -0.047772 0 0 26 14 -0.151596 -0.076517 0 0 26 15 0.138856 -0.013687 0 0 26 16 0.093573 -0.194962 0 0 26 17 -0.004274 0.004653 0 0 26 18 0.065214 0.043404 0 0 26 19 0.121777 -0.122883 0 0 26 20 0.073074 -0.057867 0 0 26 21 -0.021256 -0.048950 0 0 26 22 0.000532 0.049853 0 0 26 23 -0.044910 -0.013104 0 0 26 24 -0.035998 -0.050376 0 0 26 25 0.001488 -0.054308 0 0 26 26 0.015236 0.071005 0 0 27 0 0.264648 0 0 0 27 1 0.102877 0.256234 0 0 27 2 -0.055258 -0.198372 0 0 27 3 0.139368 -0.013415 0 0 27 4 -0.134411 0.122645 0 0 27 5 -0.102655 0.141627 0 0 27 6 0.095651 -0.156766 0 0 27 7 0.063885 -0.085139 0 0 27 8 -0.035111 -0.008275 0 0 27 9 0.051360 0.198841 0 0 27 10 0.024389 -0.043127 0 0 27 11 0.064987 -0.033164 0 0 27 12 0.021122 -0.184479 0 0 27 13 -0.017197 0.037877 0 0 27 14 0.110324 -0.042425 0 0 27 15 -0.000402 -0.043660 0 0 27 16 -0.020601 0.065746 0 0 27 17 0.045286 -0.007667 0 0 27 18 0.094819 -0.038932 0 0 27 19 -0.083327 -0.098324 0 0 27 20 0.055323 -0.066628 0 0 27 21 -0.079080 -0.074498 0 0 27 22 -0.106672 0.046118 0 0 27 23 0.021203 0.099839 0 0 27 24 0.028003 0.045921 0 0 27 25 -0.046687 0.034332 0 0 27 26 0.068755 0.001775 0 0 27 27 0.026765 0.001003 0 0 28 0 -0.110782 0 0 0 28 1 0.224454 0.129603 0 0 28 2 -0.053633 -0.170920 0 0 28 3 -0.104652 0.013761 0 0 28 4 0.169986 -0.009578 0 0 28 5 0.065111 -0.020176 0 0 28 6 -0.183845 -0.049877 0 0 28 7 0.061116 0.194067 0 0 28 8 0.086399 -0.158367 0 0 28 9 -0.067281 0.134982 0 0 28 10 -0.003655 0.020235 0 0 28 11 0.029751 -0.039478 0 0 28 12 -0.095871 -0.001780 0 0 28 13 0.020259 -0.038407 0 0 28 14 0.124991 -0.043815 0 0 28 15 0.035804 0.110657 0 0 28 16 0.005450 -0.058983 0 0 28 17 0.000590 0.008176 0 0 28 18 -0.023597 0.118324 0 0 28 19 0.101266 -0.080930 0 0 28 20 -0.064068 -0.185279 0 0 28 21 -0.059931 0.113432 0 0 28 22 0.033867 0.058701 0 0 28 23 0.086608 0.031688 0 0 28 24 0.020733 0.030473 0 0 28 25 -0.000566 -0.022447 0 0 28 26 -0.008507 -0.067152 0 0 28 27 -0.055274 0.055837 0 0 28 28 -0.002375 0.057931 0 0 29 0 0.034638 0 0 0 29 1 0.111051 -0.125313 0 0 29 2 0.147742 0.005773 0 0 29 3 0.175027 0.095142 0 0 29 4 0.088005 -0.050323 0 0 29 5 0.043790 0.061519 0 0 29 6 -0.051293 -0.144736 0 0 29 7 -0.093025 -0.054845 0 0 29 8 0.124959 -0.127909 0 0 29 9 0.029059 0.126807 0 0 29 10 -0.101399 -0.040570 0 0 29 11 -0.016203 0.066300 0 0 29 12 0.035606 0.060043 0 0 29 13 0.041351 -0.025615 0 0 29 14 0.018871 -0.157181 0 0 29 15 -0.014553 0.066038 0 0 29 16 0.100066 0.006324 0 0 29 17 0.059797 -0.078731 0 0 29 18 -0.086122 0.112160 0 0 29 19 0.013267 0.063082 0 0 29 20 0.062205 -0.033035 0 0 29 21 -0.026403 0.111223 0 0 29 22 -0.064193 0.130599 0 0 29 23 0.003869 0.075608 0 0 29 24 -0.015587 -0.015448 0 0 29 25 -0.010797 0.009381 0 0 29 26 -0.001861 0.011652 0 0 29 27 -0.136690 -0.061019 0 0 29 28 0.020613 0.008192 0 0 29 29 0.009271 -0.012233 0 0 30 0 0.084844 0 0 0 30 1 -0.046675 0.128557 0 0 30 2 0.174201 -0.084340 0 0 30 3 -0.340758 -0.100934 0 0 30 4 -0.052642 0.078106 0 0 30 5 0.194843 -0.233801 0 0 30 6 -0.039216 -0.193150 0 0 30 7 0.032909 0.026343 0 0 30 8 0.170933 -0.213466 0 0 30 9 0.135715 0.056911 0 0 30 10 0.023039 0.042605 0 0 30 11 0.033501 -0.077303 0 0 30 12 -0.019312 -0.113120 0 0 30 13 0.164047 0.129815 0 0 30 14 0.045003 0.002861 0 0 30 15 0.012858 -0.059309 0 0 30 16 -0.021097 -0.004714 0 0 30 17 0.105915 -0.010666 0 0 30 18 -0.020162 0.029678 0 0 30 19 -0.061525 0.146363 0 0 30 20 0.099874 0.026111 0 0 30 21 0.031484 0.079836 0 0 30 22 -0.087734 0.013069 0 0 30 23 0.012532 0.091588 0 0 30 24 0.072762 0.053036 0 0 30 25 0.009180 -0.069453 0 0 30 26 -0.058549 -0.112327 0 0 30 27 0.030744 -0.054766 0 0 30 28 -0.004135 -0.044969 0 0 30 29 0.002330 0.048656 0 0 30 30 -0.015049 0.018076 0 0 31 0 -0.014484 0 0 0 31 1 0.091419 -0.025108 0 0 31 2 0.149895 -0.178065 0 0 31 3 -0.061961 -0.045788 0 0 31 4 0.112860 -0.016952 0 0 31 5 0.110089 -0.065158 0 0 31 6 -0.009288 -0.151893 0 0 31 7 -0.062633 0.049436 0 0 31 8 0.004536 -0.115118 0 0 31 9 -0.035266 0.118100 0 0 31 10 -0.062191 0.020620 0 0 31 11 -0.010273 -0.057254 0 0 31 12 -0.015074 -0.101896 0 0 31 13 0.171793 -0.004685 0 0 31 14 -0.081298 0.044159 0 0 31 15 -0.179444 0.065501 0 0 31 16 0.103936 0.040910 0 0 31 17 -0.015877 -0.018026 0 0 31 18 -0.089025 0.026617 0 0 31 19 -0.021847 0.092054 0 0 31 20 -0.018908 0.014953 0 0 31 21 0.039727 -0.013844 0 0 31 22 -0.054920 -0.047799 0 0 31 23 -0.040221 -0.194079 0 0 31 24 -0.114018 -0.057769 0 0 31 25 -0.008408 0.049184 0 0 31 26 0.002457 0.008612 0 0 31 27 0.042949 -0.030879 0 0 31 28 -0.070927 0.028403 0 0 31 29 -0.022373 -0.003190 0 0 31 30 -0.019180 -0.017809 0 0 31 31 -0.019626 0.048219 0 0 32 0 -0.079815 0 0 0 32 1 0.081536 0.045723 0 0 32 2 -0.016406 -0.004953 0 0 32 3 -0.093993 -0.054138 0 0 32 4 -0.070710 -0.064322 0 0 32 5 -0.019293 0.075520 0 0 32 6 -0.124404 0.002840 0 0 32 7 0.031788 -0.108257 0 0 32 8 -0.088362 -0.140277 0 0 32 9 -0.195890 -0.007178 0 0 32 10 -0.007722 -0.050030 0 0 32 11 -0.024952 -0.036776 0 0 32 12 -0.044412 -0.166118 0 0 32 13 -0.048897 -0.179977 0 0 32 14 0.060999 -0.001024 0 0 32 15 -0.198148 -0.032625 0 0 32 16 -0.104824 0.070514 0 0 32 17 0.057784 0.012924 0 0 32 18 -0.066325 -0.075851 0 0 32 19 -0.185176 -0.066695 0 0 32 20 -0.115590 0.160286 0 0 32 21 0.155646 -0.010343 0 0 32 22 0.056973 -0.169126 0 0 32 23 -0.060369 -0.072463 0 0 32 24 -0.053223 -0.097145 0 0 32 25 -0.024737 0.076796 0 0 32 26 0.123226 0.057461 0 0 32 27 0.069491 -0.083542 0 0 32 28 -0.002520 -0.055818 0 0 32 29 0.066319 0.024050 0 0 32 30 0.022665 -0.011193 0 0 32 31 -0.013303 0.058358 0 0 32 32 -0.021478 -0.002785 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