Title: NASA GSFC SLR C20 and C30 solutions Version: 2 (see Notes) Date created: 16 May 2023 Data span: 4 Apr 2002 - 1 Mar 2023 (beginning of solution) Authors: B.D. Loomis and K.E. Rachlin Contact: bryant.d.loomis@nasa.gov Description: This file contains SLR-derived C20 and C30 values for replacing GRACE/GRACE-FO GSM Values prior to MJD 53039 use 5 satellites: LAGEOS-1/2, Stella, Starlette, AJISAI Values beginning on MJD 53039 use 6 satellites: Larets added Values beginning on MJD 55987 use 7 satellites: LARES added C30 values are not provided prior to MJD 55987 Estimated gravity parameters: 5x5+C61,S61 Citation: Loomis et al., 2020, Geophys. Res. Lett., https://doi.org/10.1029/2019GL085488 Notes: AOD1B RL06 model applied for dealiasing C20 is zero tide Sigmas were calibrated with C30 differences to dual-accelerometer GRACE values The background time variable gravity model was updated for Version 2 (first created 22 Nov 2019) Format: (F7.1,F10.4,E22.13,2F8.4,E22.13,2F8.4,F8.1,F10.4) Column 1: MJD of BEGINNING of solution data span (matches JPL GSM) Column 2: Year and fraction of year of BEGINNING of solution data span Column 3: Replacement C20 Column 4: Replacement C20 - mean C20 (1.0E-10) Column 5: C20 Sigma (1.0E-10) Column 6: Replacement C30 Column 7: Replacement C30 - mean C30 (1.0E-10) Column 8: C30 Sigma (1.0E-10) Column 9: MJD of END of solution data span (matches JPL GSM) Column 10: Year and fraction of year of END of solution data span Constants: Mean C20: -4.841694573200E-04 Mean C30: +9.571647583412E-07 GM: 0.3986004415E+06 (km^3/s^2) R: 6378.1363 (km) Product: 52368.0 2002.2548 -4.8416932630052E-04 1.3102 0.1589 NaN 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2015.6658 57266.0 2015.6658 -4.8416966368316E-04 -2.0636 0.1406 9.5710976444097E-07 -0.5499 0.1796 57293.0 2015.7397 57368.0 2015.9452 -4.8416956898585E-04 -1.1167 0.1614 9.5717705023778E-07 0.1229 0.3362 57391.0 2016.0082 57391.0 2016.0082 -4.8416955542513E-04 -0.9811 0.1798 9.5718318264704E-07 0.1842 0.2950 57416.0 2016.0765 57416.0 2016.0765 -4.8416954713121E-04 -0.8981 0.1580 9.5720421106931E-07 0.3945 0.2584 57448.0 2016.1639 57448.0 2016.1639 -4.8416956998188E-04 -1.1266 0.1769 9.5722472228808E-07 0.5996 0.2772 57479.0 2016.2486 57516.0 2016.3497 -4.8416953090924E-04 -0.7359 0.1657 9.5723810699137E-07 0.7335 0.2294 57540.0 2016.4153 57540.0 2016.4153 -4.8416957625139E-04 -1.1893 0.1756 9.5719555211452E-07 0.3079 0.3133 57570.0 2016.4973 57570.0 2016.4973 -4.8416965727523E-04 -1.9996 0.1795 9.5711839553207E-07 -0.4636 0.3421 57599.0 2016.5765 57608.0 2016.6011 -4.8416965838758E-04 -2.0107 0.1550 9.5706659867314E-07 -0.9816 0.2002 57635.0 2016.6749 57706.0 2016.8689 -4.8416960236610E-04 -1.4505 0.1572 9.5708874949001E-07 -0.7601 0.2491 57733.0 2016.9426 57733.0 2016.9426 -4.8416958445644E-04 -1.2714 0.1846 9.5707319287395E-07 -0.9157 0.3446 57760.0 2017.0164 57760.0 2017.0164 -4.8416960199539E-04 -1.4468 0.1715 9.5708198392263E-07 -0.8277 0.3525 57788.0 2017.0932 57829.0 2017.2055 -4.8416961672283E-04 -1.5940 0.1437 9.5719222063860E-07 0.2746 0.2470 57858.0 2017.2849 57853.0 2017.2712 -4.8416958177757E-04 -1.2446 0.1385 9.5721510406946E-07 0.5035 0.2334 57882.0 2017.3507 57875.0 2017.3315 -4.8416954583340E-04 -0.8851 0.1430 9.5723755624364E-07 0.7280 0.2020 57896.0 2017.3890 57896.0 2017.3890 -4.8416957813488E-04 -1.2081 0.1402 9.5721703508922E-07 0.5228 0.1933 57934.0 2017.4932 58270.0 2018.4137 -4.8416960797232E-04 -1.5065 0.1479 9.5719550742707E-07 0.3075 0.2158 58300.0 2018.4959 58300.0 2018.4959 -4.8416966779489E-04 -2.1047 0.1415 9.5712587221941E-07 -0.3889 0.1875 58318.0 2018.5452 58413.0 2018.8055 -4.8416967450907E-04 -2.1719 0.1722 9.5708152888761E-07 -0.8323 0.2654 58432.0 2018.8575 58423.0 2018.8329 -4.8416963703134E-04 -1.7971 0.1719 9.5709414325655E-07 -0.7062 0.3168 58453.0 2018.9151 58453.0 2018.9151 -4.8416963914760E-04 -1.8183 0.1894 9.5714451246887E-07 -0.2025 0.3355 58484.0 2019.0000 58484.0 2019.0000 -4.8416963920809E-04 -1.8189 0.1685 9.5714023036114E-07 -0.2453 0.2557 58515.0 2019.0849 58509.0 2019.0685 -4.8416963151003E-04 -1.7419 0.1688 9.5715564782348E-07 -0.0911 0.2456 58547.0 2019.1726 58543.0 2019.1616 -4.8416963648457E-04 -1.7916 0.1694 9.5717555990358E-07 0.1080 0.2301 58574.0 2019.2466 58574.0 2019.2466 -4.8416959467779E-04 -1.3736 0.1504 9.5723006180160E-07 0.6530 0.2373 58604.0 2019.3288 58604.0 2019.3288 -4.8416957340311E-04 -1.1608 0.1403 9.5719636824292E-07 0.3161 0.2589 58635.0 2019.4137 58635.0 2019.4137 -4.8416962150917E-04 -1.6419 0.1558 9.5715928448569E-07 -0.0547 0.3104 58665.0 2019.4959 58665.0 2019.4959 -4.8416970816033E-04 -2.5084 0.1467 9.5709122361951E-07 -0.7353 0.2377 58696.0 2019.5808 58696.0 2019.5808 -4.8416972467871E-04 -2.6736 0.1486 9.5706975514653E-07 -0.9500 0.2265 58727.0 2019.6658 58727.0 2019.6658 -4.8416973812148E-04 -2.8080 0.1392 9.5706231628536E-07 -1.0244 0.2119 58757.0 2019.7479 58757.0 2019.7479 -4.8416971664263E-04 -2.5932 0.1544 9.5706508777287E-07 -0.9967 0.2611 58788.0 2019.8329 58788.0 2019.8329 -4.8416965109750E-04 -1.9378 0.1544 9.5707263024293E-07 -0.9213 0.2942 58818.0 2019.9151 58818.0 2019.9151 -4.8416964620063E-04 -1.8888 0.1627 9.5708432540293E-07 -0.8043 0.3351 58849.0 2020.0000 58849.0 2020.0000 -4.8416964330954E-04 -1.8599 0.1746 9.5714943936299E-07 -0.1532 0.2820 58880.0 2020.0847 58880.0 2020.0847 -4.8416965738410E-04 -2.0006 0.1967 9.5718014944914E-07 0.1539 0.2837 58909.0 2020.1639 58909.0 2020.1639 -4.8416963719004E-04 -1.7987 0.1804 9.5721250015046E-07 0.4774 0.2890 58940.0 2020.2486 58940.0 2020.2486 -4.8416960788629E-04 -1.5057 0.1641 9.5721818390034E-07 0.5343 0.2273 58970.0 2020.3306 58970.0 2020.3306 -4.8416957635604E-04 -1.1904 0.1481 9.5722639557104E-07 0.6164 0.2128 59001.0 2020.4153 59001.0 2020.4153 -4.8416964346151E-04 -1.8614 0.1420 9.5716389382453E-07 -0.0086 0.2552 59031.0 2020.4973 59031.0 2020.4973 -4.8416973386924E-04 -2.7655 0.1335 9.5711397386180E-07 -0.5078 0.3091 59062.0 2020.5820 59062.0 2020.5820 -4.8416976691237E-04 -3.0959 0.1558 9.5707239459392E-07 -0.9236 0.2706 59093.0 2020.6667 59093.0 2020.6667 -4.8416977106935E-04 -3.1375 0.1600 9.5702860716053E-07 -1.3615 0.2503 59123.0 2020.7486 59123.0 2020.7486 -4.8416972178389E-04 -2.6446 0.1602 9.5704251729910E-07 -1.2224 0.2656 59154.0 2020.8333 59154.0 2020.8333 -4.8416969374941E-04 -2.3643 0.1679 9.5710402973742E-07 -0.6073 0.2719 59184.0 2020.9153 59184.0 2020.9153 -4.8416968356749E-04 -2.2625 0.1784 9.5714013156621E-07 -0.2463 0.3104 59215.0 2021.0000 59215.0 2021.0000 -4.8416971168588E-04 -2.5437 0.1942 9.5715491539468E-07 -0.0984 0.3665 59246.0 2021.0849 59246.0 2021.0849 -4.8416967242577E-04 -2.1511 0.1765 9.5719947308549E-07 0.3471 0.3107 59274.0 2021.1616 59274.0 2021.1616 -4.8416966781826E-04 -2.1050 0.1534 9.5719123281451E-07 0.2647 0.2147 59305.0 2021.2466 59305.0 2021.2466 -4.8416963794937E-04 -1.8063 0.1577 9.5716356665129E-07 -0.0119 0.2735 59335.0 2021.3288 59335.0 2021.3288 -4.8416963856635E-04 -1.8125 0.1555 9.5719830736636E-07 0.3355 0.2490 59366.0 2021.4137 59366.0 2021.4137 -4.8416967675478E-04 -2.1943 0.1493 9.5718404670352E-07 0.1929 0.2480 59396.0 2021.4959 59396.0 2021.4959 -4.8416975555327E-04 -2.9823 0.1769 9.5711229819645E-07 -0.5246 0.3115 59427.0 2021.5808 59427.0 2021.5808 -4.8416977197910E-04 -3.1466 0.1763 9.5706733654261E-07 -0.9742 0.3547 59458.0 2021.6658 59458.0 2021.6658 -4.8416978041023E-04 -3.2309 0.1499 9.5706179736307E-07 -1.0296 0.2238 59488.0 2021.7479 59488.0 2021.7479 -4.8416978568390E-04 -3.2836 0.1554 9.5704777751000E-07 -1.1698 0.2544 59519.0 2021.8329 59519.0 2021.8329 -4.8416974369000E-04 -2.8637 0.1764 9.5708657757174E-07 -0.7818 0.2830 59549.0 2021.9151 59549.0 2021.9151 -4.8416973614608E-04 -2.7883 0.1968 9.5712036189031E-07 -0.4440 0.2818 59580.0 2022.0000 59580.0 2022.0000 -4.8416973089715E-04 -2.7358 0.1630 9.5715085699415E-07 -0.1390 0.2360 59611.0 2022.0849 59611.0 2022.0849 -4.8416971412118E-04 -2.5680 0.1556 9.5716487249074E-07 0.0011 0.2285 59639.0 2022.1616 59639.0 2022.1616 -4.8416969110332E-04 -2.3378 0.1724 9.5720826561050E-07 0.4351 0.2626 59670.0 2022.2466 59670.0 2022.2466 -4.8416962854831E-04 -1.7123 0.1704 9.5720127414439E-07 0.3652 0.2821 59700.0 2022.3288 59700.0 2022.3288 -4.8416962463534E-04 -1.6732 0.1688 9.5715184870169E-07 -0.1291 0.3371 59731.0 2022.4137 59731.0 2022.4137 -4.8416971889780E-04 -2.6158 0.1715 9.5714292535187E-07 -0.2183 0.2602 59761.0 2022.4959 59761.0 2022.4959 -4.8416979231391E-04 -3.3499 0.1759 9.5708804299308E-07 -0.7672 0.2552 59792.0 2022.5808 59792.0 2022.5808 -4.8416978085371E-04 -3.2353 0.1756 9.5705299798288E-07 -1.1176 0.2711 59823.0 2022.6658 59823.0 2022.6658 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