brahe 1.4.2

Brahe is a modern satellite dynamics library for research and engineering applications designed to be easy-to-learn, high-performance, and quick-to-deploy. The north-star of the development is enabling users to solve meaningful problems and answer questions quickly, easily, and correctly.
Documentation
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THE SATELLITE-ONLY GRACE GRAVITY MODEL GGM05S
===================================================

Current Reference:

Tapley, B. D., F. Flechtner, s. V. Bettadpur, M. M. Watkins, The status and future prospect
for GRACE after the first decade, Eos Trans., Fall Meet. Suppl., Abstract G22A-01, 2013.

GGM05S is an unconstrained global gravity model complete to degree and order 180 
determined from GRACE K-band intersatellite range-rate data, GPS tracking and GRACE
accelerometer data. Approximately ten years of data were used (March 2003 to May 2013).
The value for C20 has been replaced with a value derived from satellite laser ranging.
Because GGM05S is not regularized in any way, the errors increase with degree. 
It is not recommended to use GGM05S without smoothing beyond approximately degree 150.

No rate terms were modeled, and no corrections for earthquakes have been applied.
For additional details on the background modeling, see the CSR RL05 processing standards 
document available at:

ftp://podaac.jpl.nasa.gov/allData/grace/docs/L2-CSR0005_ProcStd_v4.0.pdf


product_type                  gravity_field
modelname                     GGM05S
earth_gravity_constant        0.3986004415E+15
radius                        0.6378136300E+07
max_degree                    180
errors                        calibrated
norm                          fully_normalized
tide_system                   zero_tide
 
 
 
key    L    M         c                  s               sigma c      sigma s
end_of_head ====================================================================
gfc    0    0  1.000000000000e+00  0.000000000000e+00  0.00000e+00  0.00000e+00
gfc    1    0  0.000000000000e+00  0.000000000000e+00  0.00000e+00  0.00000e+00
gfc    1    1  0.000000000000e+00  0.000000000000e+00  0.00000e+00  0.00000e+00
gfc    2    0 -4.841694573200D-04  0.000000000000D+00  1.17430D-10  0.00000D+00
gfc    2    1 -3.183715553800D-10  1.432170507577D-09  4.30520D-11  4.30140D-11
gfc    2    2  2.439374598584D-06 -1.400287554684D-06  3.68290D-11  3.63830D-11
gfc    3    0  9.571739577330D-07  0.000000000000D+00  1.30620D-11  0.00000D+00
gfc    3    1  2.030447717179D-06  2.482356432550D-07  7.73150D-12  7.71540D-12
gfc    3    2  9.047749228904D-07 -6.190079043255D-07  1.18040D-11  1.18230D-11
gfc    3    3  7.212923883714D-07  1.414398684143D-06  2.35010D-11  2.35160D-11
gfc    4    0  5.399853533873D-07  0.000000000000D+00  6.79010D-12  0.00000D+00
gfc    4    1 -5.361786622025D-07 -4.735770747989D-07  5.30110D-12  5.29500D-12
gfc    4    2  3.504917311439D-07  6.625021916813D-07  7.64310D-12  7.64140D-12
gfc    4    3  9.908574388920D-07 -2.009475655717D-07  1.28710D-11  1.28760D-11
gfc    4    4 -1.884904077578D-07  3.088195368429D-07  1.34630D-11  1.34390D-11
gfc    5    0  6.865295795743D-08  0.000000000000D+00  3.22230D-12  0.00000D+00
gfc    5    1 -6.291443819205D-08 -9.434270766598D-08  2.56200D-12  2.56020D-12
gfc    5    2  6.520588473561D-07 -3.233441597218D-07  3.37530D-12  3.37380D-12
gfc    5    3 -4.518301141322D-07 -2.149419060333D-07  6.28500D-12  6.28250D-12
gfc    5    4 -2.953263261931D-07  4.981208263958D-08  7.91490D-12  7.92090D-12
gfc    5    5  1.748131765178D-07 -6.693584989617D-07  1.22950D-11  1.22820D-11
gfc    6    0 -1.499751867421D-07  0.000000000000D+00  3.23080D-12  0.00000D+00
gfc    6    1 -7.594321204929D-08  2.652551908729D-08  2.53040D-12  2.52890D-12
gfc    6    2  4.863521615052D-08 -3.737703607081D-07  3.21650D-12  3.21430D-12
gfc    6    3  5.724955887621D-08  8.973058346979D-09  4.30400D-12  4.30760D-12
gfc    6    4 -8.599819097325D-08 -4.714267493844D-07  4.44820D-12  4.44710D-12
gfc    6    5 -2.671626945449D-07 -5.364950882609D-07  6.76980D-12  6.76620D-12
gfc    6    6  9.476848430257D-09 -2.373833884330D-07  7.30720D-12  7.29630D-12
gfc    7    0  9.050171042435D-08  0.000000000000D+00  2.01950D-12  0.00000D+00
gfc    7    1  2.808863583475D-07  9.515955090460D-08  1.57900D-12  1.57790D-12
gfc    7    2  3.303956821278D-07  9.302002881123D-08  1.91250D-12  1.91110D-12
gfc    7    3  2.504641688786D-07 -2.170971014715D-07  3.05270D-12  3.05120D-12
gfc    7    4 -2.749881969827D-07 -1.240495513726D-07  2.98530D-12  2.98740D-12
gfc    7    5  1.646915418368D-09  1.793002894971D-08  3.43020D-12  3.42970D-12
gfc    7    6 -3.587987635262D-07  1.517944882424D-07  6.12430D-12  6.11910D-12
gfc    7    7  1.520997456997D-09  2.410335977031D-08  6.29020D-12  6.28230D-12
gfc    8    0  4.947888296780D-08  0.000000000000D+00  2.20400D-12  0.00000D+00
gfc    8    1  2.314094409863D-08  5.890481663055D-08  1.70760D-12  1.70670D-12
gfc    8    2  8.002052911833D-08  6.529987615773D-08  2.02750D-12  2.02600D-12
gfc    8    3 -1.936026267135D-08 -8.594160265972D-08  2.40490D-12  2.40570D-12
gfc    8    4 -2.443452151910D-07  6.981209020667D-08  2.43920D-12  2.43910D-12
gfc    8    5 -2.570144866932D-08  8.920688936506D-08  2.71910D-12  2.71710D-12
gfc    8    6 -6.597081184471D-08  3.089447805354D-07  3.54790D-12  3.54520D-12
gfc    8    7  6.725636222065D-08  7.486454436427D-08  4.62150D-12  4.61780D-12
gfc    8    8 -1.240327183045D-07  1.205413610615D-07  5.36630D-12  5.36310D-12
gfc    9    0  2.802321300936D-08  0.000000000000D+00  1.58970D-12  0.00000D+00
gfc    9    1  1.421492928072D-07  2.141577882289D-08  1.22790D-12  1.22720D-12
gfc    9    2  2.141197338560D-08 -3.168024895137D-08  1.41930D-12  1.41820D-12
gfc    9    3 -1.606019573082D-07 -7.425004177984D-08  1.95540D-12  1.95440D-12
gfc    9    4 -9.350161489798D-09  1.989919559209D-08  1.75310D-12  1.75400D-12
gfc    9    5 -1.631497881592D-08 -5.404368530546D-08  2.10850D-12  2.10860D-12
gfc    9    6  6.278398028405D-08  2.229639832314D-07  3.06250D-12  3.06080D-12
gfc    9    7 -1.179817162200D-07 -9.692085557350D-08  2.42780D-12  2.42610D-12
gfc    9    8  1.881308400622D-07 -3.004312450334D-09  4.65750D-12  4.65820D-12
gfc    9    9 -4.755850838420D-08  9.687679926414D-08  4.00090D-12  4.00090D-12
gfc   10    0  5.334548503766D-08  0.000000000000D+00  1.65650D-12  0.00000D+00
gfc   10    1  8.375363375701D-08 -1.310944029602D-07  1.27270D-12  1.27200D-12
gfc   10    2 -9.397776594947D-08 -5.126508453457D-08  1.45290D-12  1.45190D-12
gfc   10    3 -6.991782448910D-09 -1.541282086692D-07  1.58750D-12  1.58780D-12
gfc   10    4 -8.445953067724D-08 -7.902406566030D-08  1.56460D-12  1.56460D-12
gfc   10    5 -4.928512438848D-08 -5.061658986031D-08  1.61720D-12  1.61650D-12
gfc   10    6 -3.758689850031D-08 -7.977130839748D-08  2.16950D-12  2.16700D-12
gfc   10    7  8.257212389859D-09 -3.049080805774D-09  1.88660D-12  1.88440D-12
gfc   10    8  4.058896471120D-08 -9.171058318062D-08  3.39840D-12  3.39700D-12
gfc   10    9  1.253844452739D-07 -3.794235151694D-08  3.38850D-12  3.39000D-12
gfc   10   10  1.004226496670D-07 -2.386171438519D-08  3.66230D-12  3.66290D-12
gfc   11    0 -5.076471651592D-08  0.000000000000D+00  1.39450D-12  0.00000D+00
gfc   11    1  1.561445511870D-08 -2.712116973592D-08  1.07010D-12  1.06940D-12
gfc   11    2  2.011370235930D-08 -9.898792206508D-08  1.20090D-12  1.20010D-12
gfc   11    3 -3.057064924138D-08 -1.488319687843D-07  1.47370D-12  1.47310D-12
gfc   11    4 -3.794141857164D-08 -6.376629453539D-08  1.29670D-12  1.29710D-12
gfc   11    5  3.741833595850D-08  4.958579381444D-08  1.56140D-12  1.56170D-12
gfc   11    6 -1.567706598770D-09  3.427333823533D-08  1.94970D-12  1.94890D-12
gfc   11    7  4.656483756694D-09 -8.982763203531D-08  1.58730D-12  1.58680D-12
gfc   11    8 -6.312532166228D-09  2.454717007194D-08  2.69080D-12  2.69180D-12
gfc   11    9 -3.107684181782D-08  4.206445252696D-08  2.12650D-12  2.12690D-12
gfc   11   10 -5.223715786334D-08 -1.841902381775D-08  3.14950D-12  3.14870D-12
gfc   11   11  4.623417376361D-08 -6.967214077592D-08  3.26450D-12  3.26630D-12
gfc   12    0  3.644772198802D-08  0.000000000000D+00  1.29870D-12  0.00000D+00
gfc   12    1 -5.358832704831D-08 -4.316858026027D-08  9.92920D-13  9.92410D-13
gfc   12    2  1.427947122528D-08  3.109996755745D-08  1.10540D-12  1.10460D-12
gfc   12    3  3.963402759354D-08  2.506888259894D-08  1.14080D-12  1.14080D-12
gfc   12    4 -6.772124976957D-08  3.838595095629D-09  1.09950D-12  1.09960D-12
gfc   12    5  3.087516986732D-08  7.588619712140D-09  1.12730D-12  1.12710D-12
gfc   12    6  3.132533350112D-09  3.897913732025D-08  1.39070D-12  1.38880D-12
gfc   12    7 -1.905584829350D-08  3.572403419363D-08  1.06590D-12  1.06490D-12
gfc   12    8 -2.588863528111D-08  1.693607739397D-08  2.30390D-12  2.30360D-12
gfc   12    9  4.191018338547D-08  2.496066882244D-08  1.48910D-12  1.49050D-12
gfc   12   10 -6.199792120952D-09  3.093616590226D-08  2.26750D-12  2.26710D-12
gfc   12   11  1.136453867516D-08 -6.387979602617D-09  2.95810D-12  2.96210D-12
gfc   12   12 -2.422093764787D-09 -1.111081244643D-08  3.20320D-12  3.20680D-12
gfc   13    0  4.173108178960D-08  0.000000000000D+00  1.10230D-12  0.00000D+00
gfc   13    1 -5.144214312313D-08  3.868433772835D-08  8.41840D-13  8.41360D-13
gfc   13    2  5.530911493830D-08 -6.268632741087D-08  9.27320D-13  9.26650D-13
gfc   13    3 -2.155183552058D-08  9.768544008057D-08  1.04260D-12  1.04210D-12
gfc   13    4 -3.643530335840D-09 -1.175327933577D-08  9.20810D-13  9.20920D-13
gfc   13    5  5.836923554071D-08  6.722112266360D-08  1.07480D-12  1.07480D-12
gfc   13    6 -3.504391341304D-08 -6.275311845657D-09  1.23070D-12  1.23040D-12
gfc   13    7  3.011217535175D-09 -7.322709449605D-09  9.97710D-13  9.97440D-13
gfc   13    8 -1.005495235818D-08 -9.856033661191D-09  1.72620D-12  1.72640D-12
gfc   13    9  2.476918342476D-08  4.588766543898D-08  1.33240D-12  1.33270D-12
gfc   13   10  4.111060619370D-08 -3.684174648755D-08  1.50320D-12  1.50340D-12
gfc   13   11 -4.452294971096D-08 -4.842840844923D-09  1.93010D-12  1.93060D-12
gfc   13   12 -3.131090717263D-08  8.793994419008D-08  2.74210D-12  2.74340D-12
gfc   13   13 -6.120785064008D-08  6.814809689050D-08  3.17050D-12  3.17070D-12
gfc   14    0 -2.266255103173D-08  0.000000000000D+00  9.58710D-13  0.00000D+00
gfc   14    1 -1.876921419784D-08  2.886037818844D-08  7.30300D-13  7.29970D-13
gfc   14    2 -3.591303253395D-08 -4.061905845524D-09  7.99850D-13  7.99350D-13
gfc   14    3  3.652390657012D-08  1.969523101268D-08  7.92330D-13  7.92270D-13
gfc   14    4  1.610649161708D-09 -2.266366589970D-08  7.51320D-13  7.51390D-13
gfc   14    5  2.931078216421D-08 -1.678909385480D-08  7.67980D-13  7.67950D-13
gfc   14    6 -1.906618605297D-08  2.453579955441D-09  8.73280D-13  8.72270D-13
gfc   14    7  3.762574388904D-08 -3.934832237839D-09  6.93240D-13  6.93090D-13
gfc   14    8 -3.494636316883D-08 -1.544593008209D-08  1.38680D-12  1.38690D-12
gfc   14    9  3.195352534828D-08  2.846644222586D-08  7.93910D-13  7.94680D-13
gfc   14   10  3.879941283242D-08 -1.294046965893D-09  1.52370D-12  1.52360D-12
gfc   14   11  1.564776952490D-08 -3.904241899701D-08  1.28260D-12  1.28450D-12
gfc   14   12  8.460416301768D-09 -3.112727023506D-08  1.86970D-12  1.87040D-12
gfc   14   13  3.224257665829D-08  4.515011973925D-08  2.89640D-12  2.89680D-12
gfc   14   14 -5.187164013579D-08 -4.818313457120D-09  2.93540D-12  2.93580D-12
gfc   15    0  2.190523754540D-09  0.000000000000D+00  7.45250D-13  0.00000D+00
gfc   15    1  9.431691711573D-09  1.048058456956D-08  5.67180D-13  5.66870D-13
gfc   15    2 -2.053057809599D-08 -3.029749405778D-08  6.16820D-13  6.16380D-13
gfc   15    3  5.341468392835D-08  1.765566730691D-08  6.50340D-13  6.50090D-13
gfc   15    4 -4.016916883289D-08  6.808276487218D-09  5.78650D-13  5.78650D-13
gfc   15    5  1.224293540571D-08  7.616847169090D-09  6.48180D-13  6.48130D-13
gfc   15    6  3.285309257758D-08 -3.647002441656D-08  7.08410D-13  7.08230D-13
gfc   15    7  5.965424132107D-08  5.070720532234D-09  5.64640D-13  5.64740D-13
gfc   15    8 -3.209349570136D-08  2.217502570028D-08  1.01980D-12  1.01980D-12
gfc   15    9  1.329893002620D-08  3.799238450129D-08  6.99030D-13  6.99210D-13
gfc   15   10  1.026658425237D-08  1.469251823853D-08  8.76930D-13  8.76990D-13
gfc   15   11 -1.302365564589D-09  1.851979019599D-08  1.13570D-12  1.13590D-12
gfc   15   12 -3.241575455841D-08  1.560826198390D-08  1.06620D-12  1.06670D-12
gfc   15   13 -2.836827552207D-08 -4.576547774197D-09  1.77960D-12  1.77980D-12
gfc   15   14  5.197498227903D-09 -2.439524703504D-08  2.65150D-12  2.65220D-12
gfc   15   15 -1.902884996321D-08 -4.697544241010D-09  3.18030D-12  3.17830D-12
gfc   16    0 -4.707007538767D-09  0.000000000000D+00  7.06930D-13  0.00000D+00
gfc   16    1  2.618902007774D-08  3.334821083361D-08  5.37190D-13  5.36950D-13
gfc   16    2 -2.450511263015D-08  2.802488752940D-08  5.81560D-13  5.81180D-13
gfc   16    3 -3.390729558987D-08 -2.134077672470D-08  5.59330D-13  5.59250D-13
gfc   16    4  4.085456100372D-08  4.798913658255D-08  5.23720D-13  5.23720D-13
gfc   16    5 -1.212154058021D-08 -3.444879441362D-09  5.30170D-13  5.30190D-13
gfc   16    6  1.387144742207D-08 -3.559850771282D-08  5.70340D-13  5.69730D-13
gfc   16    7 -8.064228177193D-09 -8.654465267002D-09  4.80080D-13  4.79970D-13
gfc   16    8 -2.120827965186D-08  5.410326258238D-09  8.48040D-13  8.48110D-13
gfc   16    9 -2.241313365819D-08 -3.966774323340D-08  5.09480D-13  5.09690D-13
gfc   16   10 -1.180740182444D-08  1.153753078882D-08  9.28980D-13  9.29020D-13
gfc   16   11  1.911134519756D-08 -3.202184136285D-09  7.34580D-13  7.35500D-13
gfc   16   12  1.956574070056D-08  6.725805195288D-09  1.27900D-12  1.27910D-12
gfc   16   13  1.377368403739D-08  1.046349229027D-09  1.23970D-12  1.24000D-12
gfc   16   14 -1.934492676906D-08 -3.864833514437D-08  1.91360D-12  1.91410D-12
gfc   16   15 -1.441572316476D-08 -3.277196842439D-08  3.18260D-12  3.18340D-12
gfc   16   16 -3.830305243626D-08  2.968936758697D-09  1.82430D-12  1.82340D-12
gfc   17    0  1.918570569741D-08  0.000000000000D+00  7.19590D-13  0.00000D+00
gfc   17    1 -2.536685877499D-08 -3.170771148743D-08  5.46460D-13  5.46160D-13
gfc   17    2 -2.010186379896D-08  6.813694233382D-09  5.88690D-13  5.88300D-13
gfc   17    3  6.306652479273D-09  5.075494875520D-09  5.92380D-13  5.92180D-13
gfc   17    4  6.476272530891D-09  2.533200551418D-08  5.30000D-13  5.29980D-13
gfc   17    5 -1.621781571160D-08  8.027046264876D-09  5.69620D-13  5.69570D-13
gfc   17    6 -1.173247185573D-08 -2.944084158021D-08  6.07320D-13  6.07130D-13
gfc   17    7  2.497370105186D-08 -4.387399317237D-09  4.77650D-13  4.77710D-13
gfc   17    8  3.899494630615D-08  3.636082373825D-09  8.80650D-13  8.80770D-13
gfc   17    9  3.476630226507D-09 -2.764201385515D-08  5.37520D-13  5.37700D-13
gfc   17   10 -3.793708201514D-09  1.837877254420D-08  8.03110D-13  8.03050D-13
gfc   17   11 -1.601781359489D-08  1.108473143866D-08  8.67180D-13  8.67250D-13
gfc   17   12  2.872260876487D-08  2.045764071888D-08  8.89700D-13  8.89950D-13
gfc   17   13  1.650319119223D-08  2.013690236822D-08  1.57830D-12  1.57870D-12
gfc   17   14 -1.427370877457D-08  1.157256731622D-08  1.44400D-12  1.44460D-12
gfc   17   15  5.543850143403D-09  5.244699555808D-09  2.35060D-12  2.35290D-12
gfc   17   16 -3.040485227035D-08  3.606365353864D-09  2.37850D-12  2.37670D-12
gfc   17   17 -3.469931352117D-08 -1.986884587186D-08  1.15900D-12  1.16020D-12
gfc   18    0  6.099572825892D-09  0.000000000000D+00  6.93400D-13  0.00000D+00
gfc   18    1  7.203784312131D-09 -3.928907023296D-08  5.25940D-13  5.25700D-13
gfc   18    2  1.472705760624D-08  1.082829870252D-08  5.64700D-13  5.64320D-13
gfc   18    3 -5.040994354023D-09 -5.853271924204D-09  5.31320D-13  5.31210D-13
gfc   18    4  5.462369118168D-08 -7.839385013683D-10  4.92550D-13  4.92520D-13
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