The gravity field model ITSG-Grace2014 ====================================== T. Mayer-Guerr, N. Zehentner, B. Klinger, A. Kvas http://itsg.tugraz.at/research/ITSG-Grace2014 ITSG-Grace2014k variance-covariance matrix ========================================== In the adjustment process of the ITSG-Grace2014s gravity field model a total of 40397 spherical harmonic coefficients of the static gravity field were estimated. The upper triangle of their covariance matrix is partitioned into blocks of size 2048x2048 in the following way: ------------------------------------------------------------ | *.00-00 | *.00-01 | *.00-02 | *.00-03 | ... | *.00-19 | | | *.01-01 | *.01-02 | *.01-03 | ... | *.01-19 | | | | *.02-02 | *.02-03 | ... | *.02-19 | | | | | *.03-03 | ... | *.03-19 | | | | | | ... | ... | | | | | | | *.19-19 | ------------------------------------------------------------ Each block is stored as ASCII-File using the file format described in detail in the next chapter. Matrix Block Format Description =============================== Line 0: file format descriptor Line 1: ( x ) Type and size of stored matrix Values of : - Matrix (general rectangular matrix) - UpperSymmetricMatrix (upper triangle of symmetric matrix) Line 2 - Line 2+nrows: Matrix elements as whitespace separated floating point values. Type Matrix storage format: ------------------------------------------- | a_00 | a_01 | a_02 | a_03 | a_04 | a_05 | ------------------------------------------- | a_11 | a_11 | a_12 | a_13 | a_14 | a_15 | ------------------------------------------- | a_22 | a_21 | a_22 | a_23 | a_24 | a_25 | ------------------------------------------- | a_33 | a_31 | a_32 | a_33 | a_34 | a_35 | ------------------------------------------- Type UpperSymmetrixMatrix storage format (only upper triangle is stored): ------------------------------------------- | a_00 | a_01 | a_02 | a_03 | a_04 | a_05 | ------------------------------------------- | | a_11 | a_12 | a_13 | a_14 | a_15 | ------------------------------------------- | | | a_22 | a_23 | a_24 | a_25 | ------------------------------------------- | | | | a_33 | a_34 | a_35 | ------------------------------------------- | | | | | a_44 | a_45 | ------------------------------------------- | | | | | | a_55 | ------------------------------------------- Spherical Harmonic Coefficient Order ==================================== The spherical harmonic coefficient order can be found in the file coefficient_list_static.txt.