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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Tapley B., Watkins M., Ries J., Davis G., Eanes R., Poole S., Rim H., Schutz B.,
Shum C., Nerem R., Lerch F., Marshall J.A.,Klosko S.M., Pavlis N., Williamson R.;
The Joint Gravity Model 3;
Journal of Geophysical Research, Vol. 101, No. B12, S. 28029-28049, 1996

product_type                gravity_field
modelname                   JGM3
earth_gravity_constant      0.3986004415E+15
radius                      0.6378136300E+07
max_degree                      70
errors                      formal
norm                        fully_normalized

J2-DOT                     -26e10-12

key    L    M          C                   S            sigma C        sigma S
end_of_head =======================================================================
gfc    0    0  1.000000000000e+00  0.000000000000e+00 0.00000000e+00 0.00000000e+00
gfc    1    0  0.000000000000e+00  0.000000000000e+00 0.00000000e+00 0.00000000e+00
gfc    2    0 -0.484169548456e-03  0.000000000000e+00 0.46600000e-10 0.00000000e+00
gfc    3    0  0.957170590888e-06  0.000000000000e+00 0.35990000e-10 0.00000000e+00
gfc    4    0  0.539777068357e-06  0.000000000000e+00 0.13390000e-09 0.00000000e+00
gfc    5    0  0.686589879865e-07  0.000000000000e+00 0.85790000e-10 0.00000000e+00
gfc    6    0 -0.149671561786e-06  0.000000000000e+00 0.24280000e-09 0.00000000e+00
gfc    7    0  0.907229416432e-07  0.000000000000e+00 0.26040000e-09 0.00000000e+00
gfc    8    0  0.491180031747e-07  0.000000000000e+00 0.39960000e-09 0.00000000e+00
gfc    9    0  0.273850609501e-07  0.000000000000e+00 0.37730000e-09 0.00000000e+00
gfc   10    0  0.541304457388e-07  0.000000000000e+00 0.53230000e-09 0.00000000e+00
gfc   11    0 -0.501613145957e-07  0.000000000000e+00 0.60020000e-09 0.00000000e+00
gfc   12    0  0.363823406237e-07  0.000000000000e+00 0.70880000e-09 0.00000000e+00
gfc   13    0  0.399464287317e-07  0.000000000000e+00 0.85460000e-09 0.00000000e+00
gfc   14    0 -0.218038615472e-07  0.000000000000e+00 0.91670000e-09 0.00000000e+00
gfc   15    0  0.316595109262e-08  0.000000000000e+00 0.10040000e-08 0.00000000e+00
gfc   16    0 -0.543023208844e-08  0.000000000000e+00 0.96000000e-09 0.00000000e+00
gfc   17    0  0.181083750598e-07  0.000000000000e+00 0.93800000e-09 0.00000000e+00
gfc   18    0  0.726918460072e-08  0.000000000000e+00 0.84660000e-09 0.00000000e+00
gfc   19    0 -0.351855030981e-08  0.000000000000e+00 0.75040000e-09 0.00000000e+00
gfc   20    0  0.187899865498e-07  0.000000000000e+00 0.90510000e-09 0.00000000e+00
gfc   21    0  0.750993428267e-08  0.000000000000e+00 0.73320000e-09 0.00000000e+00
gfc   22    0 -0.112601541412e-07  0.000000000000e+00 0.10480000e-08 0.00000000e+00
gfc   23    0 -0.229154104167e-07  0.000000000000e+00 0.91220000e-09 0.00000000e+00
gfc   24    0 -0.609792893549e-09  0.000000000000e+00 0.10920000e-08 0.00000000e+00
gfc   25    0  0.484462611116e-08  0.000000000000e+00 0.10780000e-08 0.00000000e+00
gfc   26    0  0.796680506568e-08  0.000000000000e+00 0.11870000e-08 0.00000000e+00
gfc   27    0  0.336748143377e-08  0.000000000000e+00 0.11800000e-08 0.00000000e+00
gfc   28    0 -0.815361934561e-08  0.000000000000e+00 0.12650000e-08 0.00000000e+00
gfc   29    0 -0.196794329014e-08  0.000000000000e+00 0.12390000e-08 0.00000000e+00
gfc   30    0  0.132379960465e-07  0.000000000000e+00 0.12980000e-08 0.00000000e+00
gfc   31    0  0.563616735591e-08  0.000000000000e+00 0.12800000e-08 0.00000000e+00
gfc   32    0 -0.257477329852e-08  0.000000000000e+00 0.12780000e-08 0.00000000e+00
gfc   33    0 -0.811171668569e-09  0.000000000000e+00 0.13960000e-08 0.00000000e+00
gfc   34    0 -0.829072597352e-08  0.000000000000e+00 0.12300000e-08 0.00000000e+00
gfc   35    0  0.685444691885e-08  0.000000000000e+00 0.13140000e-08 0.00000000e+00
gfc   36    0 -0.505190486367e-08  0.000000000000e+00 0.12810000e-08 0.00000000e+00
gfc   37    0 -0.687579988601e-08  0.000000000000e+00 0.11280000e-08 0.00000000e+00
gfc   38    0 -0.937741547966e-08  0.000000000000e+00 0.10810000e-08 0.00000000e+00
gfc   39    0  0.101373022927e-08  0.000000000000e+00 0.12930000e-08 0.00000000e+00
gfc   40    0 -0.382088596426e-08  0.000000000000e+00 0.13330000e-08 0.00000000e+00
gfc   41    0 -0.953365833736e-09  0.000000000000e+00 0.12090000e-08 0.00000000e+00
gfc   42    0  0.243734938840e-09  0.000000000000e+00 0.13250000e-08 0.00000000e+00
gfc   43    0  0.642096765866e-08  0.000000000000e+00 0.12900000e-08 0.00000000e+00
gfc   44    0  0.340070689983e-08  0.000000000000e+00 0.12990000e-08 0.00000000e+00
gfc   45    0 -0.461578461877e-08  0.000000000000e+00 0.13020000e-08 0.00000000e+00
gfc   46    0  0.226048623403e-08  0.000000000000e+00 0.12430000e-08 0.00000000e+00
gfc   47    0 -0.176598102231e-09  0.000000000000e+00 0.13160000e-08 0.00000000e+00
gfc   48    0  0.882028494314e-08  0.000000000000e+00 0.12240000e-08 0.00000000e+00
gfc   49    0 -0.995624448388e-09  0.000000000000e+00 0.12680000e-08 0.00000000e+00
gfc   50    0 -0.129781074273e-08  0.000000000000e+00 0.12380000e-08 0.00000000e+00
gfc   51    0 -0.723042234746e-08  0.000000000000e+00 0.12270000e-08 0.00000000e+00
gfc   52    0  0.304116886562e-08  0.000000000000e+00 0.12110000e-08 0.00000000e+00
gfc   53    0  0.499868413776e-08  0.000000000000e+00 0.11860000e-08 0.00000000e+00
gfc   54    0  0.175872174931e-08  0.000000000000e+00 0.11830000e-08 0.00000000e+00
gfc   55    0  0.229096959937e-08  0.000000000000e+00 0.11640000e-08 0.00000000e+00
gfc   56    0 -0.296404966607e-08  0.000000000000e+00 0.11500000e-08 0.00000000e+00
gfc   57    0 -0.207709867395e-08  0.000000000000e+00 0.11260000e-08 0.00000000e+00
gfc   58    0 -0.454974258708e-08  0.000000000000e+00 0.11130000e-08 0.00000000e+00
gfc   59    0  0.219608591921e-09  0.000000000000e+00 0.10920000e-08 0.00000000e+00
gfc   60    0 -0.419133632751e-08  0.000000000000e+00 0.10700000e-08 0.00000000e+00
gfc   61    0  0.848966008886e-09  0.000000000000e+00 0.10500000e-08 0.00000000e+00
gfc   62    0  0.710094268422e-09  0.000000000000e+00 0.10320000e-08 0.00000000e+00
gfc   63    0 -0.242831277575e-08  0.000000000000e+00 0.10140000e-08 0.00000000e+00
gfc   64    0 -0.296506925613e-08  0.000000000000e+00 0.99210000e-09 0.00000000e+00
gfc   65    0 -0.155799911380e-10  0.000000000000e+00 0.97310000e-09 0.00000000e+00
gfc   66    0 -0.111368249297e-08  0.000000000000e+00 0.94260000e-09 0.00000000e+00
gfc   67    0 -0.229131898372e-10  0.000000000000e+00 0.91250000e-09 0.00000000e+00
gfc   68    0  0.460312631434e-09  0.000000000000e+00 0.86710000e-09 0.00000000e+00
gfc   69    0  0.138974903928e-08  0.000000000000e+00 0.81110000e-09 0.00000000e+00
gfc   70    0 -0.109282285815e-08  0.000000000000e+00 0.77720000e-09 0.00000000e+00
gfc    1    1  0.000000000000e+00  0.000000000000e+00 0.00000000e+00 0.00000000e+00
gfc    2    1 -0.186987640000e-09  0.119528010000e-08 0.00000000e+00 0.00000000e+00
gfc    3    1  0.203013720555e-05  0.248130798256e-06 0.11530000e-09 0.11520000e-09
gfc    4    1 -0.536243554299e-06 -0.473772370616e-06 0.86930000e-10 0.87340000e-10
gfc    5    1 -0.627273696977e-07 -0.941946321344e-07 0.24660000e-09 0.24650000e-09
gfc    6    1 -0.761035804073e-07  0.268998189326e-07 0.27020000e-09 0.27520000e-09
gfc    7    1  0.280286522037e-06  0.947773178133e-07 0.43610000e-09 0.43440000e-09
gfc    8    1  0.233337516872e-07  0.584992749394e-07 0.50700000e-09 0.51370000e-09
gfc    9    1  0.142230258927e-06  0.219096183494e-07 0.68170000e-09 0.66370000e-09
gfc   10    1  0.837588323327e-07 -0.131554065398e-06 0.73230000e-09 0.73190000e-09
gfc   11    1  0.161070777387e-07 -0.278921528407e-07 0.92060000e-09 0.86790000e-09
gfc   12    1 -0.541917013363e-07 -0.420117757677e-07 0.93310000e-09 0.94340000e-09
gfc   13    1 -0.529668682614e-07  0.398768164474e-07 0.10330000e-08 0.97450000e-09
gfc   14    1 -0.190237519415e-07  0.274718260627e-07 0.10950000e-08 0.11170000e-08
gfc   15    1  0.120190484678e-07  0.817326710799e-08 0.11050000e-08 0.11410000e-08
gfc   16    1  0.275334993498e-07  0.337081990437e-07 0.11330000e-08 0.11780000e-08
gfc   17    1 -0.263888623964e-07 -0.298528557535e-07 0.11900000e-08 0.13280000e-08
gfc   18    1  0.421001670372e-08 -0.390758931456e-07 0.11290000e-08 0.11820000e-08
gfc   19    1 -0.696750144486e-08  0.158048507374e-09 0.12090000e-08 0.13820000e-08
gfc   20    1  0.834776750113e-08  0.624452941693e-08 0.11260000e-08 0.12130000e-08
gfc   21    1 -0.157933693232e-07  0.267040699921e-07 0.13060000e-08 0.14550000e-08
gfc   22    1  0.137048961937e-07 -0.243307651890e-08 0.11530000e-08 0.13210000e-08
gfc   23    1  0.102722283056e-07  0.169685651784e-07 0.12870000e-08 0.14100000e-08
gfc   24    1 -0.262085575880e-08 -0.330219384874e-08 0.12130000e-08 0.14210000e-08
gfc   25    1  0.699088382254e-08 -0.104573902029e-07 0.13000000e-08 0.14330000e-08
gfc   26    1 -0.113495160273e-08 -0.594552958308e-08 0.12400000e-08 0.14460000e-08
gfc   27    1  0.516226146530e-08 -0.914979690843e-09 0.13860000e-08 0.15380000e-08
gfc   28    1 -0.598421241774e-08  0.629533272003e-08 0.13010000e-08 0.14830000e-08
gfc   29    1  0.148281646839e-08 -0.949637291649e-08 0.14020000e-08 0.15610000e-08
gfc   30    1  0.254498500403e-11  0.261631743822e-08 0.13170000e-08 0.15020000e-08
gfc   31    1  0.703750803052e-08 -0.212528683271e-07 0.13830000e-08 0.15710000e-08
gfc   32    1 -0.258595968478e-08  0.297636879826e-08 0.13190000e-08 0.15180000e-08
gfc   33    1 -0.569879192150e-08 -0.158088015066e-08 0.13330000e-08 0.15020000e-08
gfc   34    1 -0.356895575256e-08  0.468126683706e-08 0.13290000e-08 0.15380000e-08
gfc   35    1 -0.148819142717e-07 -0.106983405975e-07 0.13040000e-08 0.14740000e-08
gfc   36    1 -0.149913887143e-08  0.834256478569e-08 0.13240000e-08 0.14930000e-08
gfc   37    1 -0.504295387752e-08 -0.687105704675e-09 0.12570000e-08 0.13920000e-08
gfc   38    1  0.388543068701e-08  0.171828806230e-09 0.12780000e-08 0.14680000e-08
gfc   39    1 -0.512712968935e-08  0.368065044795e-08 0.13150000e-08 0.15080000e-08
gfc   40    1  0.174236482356e-08 -0.201175317090e-08 0.13100000e-08 0.15020000e-08
gfc   41    1 -0.455638128307e-08 -0.344371936264e-08 0.13230000e-08 0.15300000e-08
gfc   42    1 -0.177742828685e-08  0.274790516524e-08 0.12740000e-08 0.14830000e-08
gfc   43    1 -0.935138097459e-09  0.402525732982e-08 0.12800000e-08 0.14900000e-08
gfc   44    1  0.502954516018e-08 -0.167726618840e-08 0.12610000e-08 0.14790000e-08
gfc   45    1  0.404861644734e-08 -0.458311108272e-08 0.12340000e-08 0.14490000e-08
gfc   46    1 -0.280575577512e-09 -0.760926411595e-10 0.12240000e-08 0.14410000e-08
gfc   47    1 -0.690602038776e-08 -0.217471711654e-08 0.12000000e-08 0.14070000e-08
gfc   48    1 -0.675662346595e-10  0.644382383166e-09 0.11930000e-08 0.14070000e-08
gfc   49    1  0.578559089916e-08  0.266053652395e-09 0.11760000e-08 0.13920000e-08
gfc   50    1  0.322487317990e-08 -0.153396999782e-08 0.11610000e-08 0.13740000e-08
gfc   51    1  0.149143004484e-08  0.506062223542e-08 0.11440000e-08 0.13490000e-08
gfc   52    1 -0.771393392855e-09 -0.666784014911e-08 0.11250000e-08 0.13320000e-08
gfc   53    1  0.200613019028e-08  0.104786374342e-08 0.11080000e-08 0.13080000e-08
gfc   54    1 -0.157396265608e-08  0.242744691892e-08 0.10880000e-08 0.12870000e-08
gfc   55    1 -0.147366949825e-08  0.318512379420e-08 0.10720000e-08 0.12620000e-08
gfc   56    1  0.241141200318e-08  0.199242550035e-08 0.10540000e-08 0.12440000e-08
gfc   57    1  0.378583004317e-08 -0.152366166150e-08 0.10380000e-08 0.12250000e-08
gfc   58    1 -0.626236274823e-09  0.143928350604e-09 0.10210000e-08 0.12030000e-08
gfc   59    1 -0.345376223039e-08 -0.213068460916e-08 0.10010000e-08 0.11830000e-08
gfc   60    1  0.665429604450e-09 -0.326635577881e-09 0.98350000e-09 0.11610000e-08
gfc   61    1  0.110771398494e-08  0.458865578584e-09 0.96500000e-09 0.11350000e-08
gfc   62    1  0.988577189774e-09  0.227070789102e-08 0.95020000e-09 0.11160000e-08
gfc   63    1 -0.301726628607e-08  0.197105858197e-08 0.93010000e-09 0.10960000e-08
gfc   64    1  0.435008142371e-08  0.948198135629e-09 0.91180000e-09 0.10740000e-08
gfc   65    1 -0.136144101208e-08 -0.238677747815e-08 0.89200000e-09 0.10510000e-08
gfc   66    1 -0.473807700752e-09 -0.305881448791e-09 0.87010000e-09 0.10190000e-08
gfc   67    1 -0.295152015745e-08  0.325419856298e-08 0.83980000e-09 0.98120000e-09
gfc   68    1 -0.480247629392e-09  0.238230114681e-08 0.81350000e-09 0.92490000e-09
gfc   69    1  0.140286566193e-08 -0.299817717838e-08 0.77270000e-09 0.85140000e-09
gfc   70    1 -0.444948551823e-09 -0.239826634381e-08 0.74320000e-09 0.81470000e-09
gfc    2    2  0.243926074866e-05 -0.140026639759e-05 0.36550000e-10 0.37090000e-10
gfc    3    2  0.904706341273e-06 -0.618922846478e-06 0.93780000e-10 0.93750000e-10
gfc    4    2  0.350670156459e-06  0.662571345943e-06 0.15590000e-09 0.15600000e-09
gfc    5    2  0.652459102764e-06 -0.323334352444e-06 0.23920000e-09 0.23980000e-09
gfc    6    2  0.483274721249e-07 -0.373815919444e-06 0.31450000e-09 0.31600000e-09
gfc    7    2  0.329760227424e-06  0.931936968310e-07 0.46350000e-09 0.45870000e-09
gfc    8    2  0.800706639316e-07  0.655185590975e-07 0.51850000e-09 0.53230000e-09
gfc    9    2  0.226206423558e-07 -0.321749849622e-07 0.69950000e-09 0.68800000e-09
gfc   10    2 -0.935579256828e-07 -0.514158905849e-07 0.75010000e-09 0.78680000e-09
gfc   11    2  0.184297954611e-07 -0.984521172044e-07 0.96240000e-09 0.96170000e-09
gfc   12    2  0.139857384606e-07  0.310477696443e-07 0.91960000e-09 0.99110000e-09
gfc   13    2  0.560391252754e-07 -0.626993413009e-07 0.12090000e-08 0.11960000e-08
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