Open Access

Table 1

Mars gravity field we used (MRO120D; Konopliv et al. 2016) truncated at degree and order 12.

Harmonic coefficients
C2,0, C3,0, ...C12,0 −0.87502209245370E-03 −0.11897015037300E-04 0.51290958301340E-05 −0.17267702404260E-05
0.13463714866160E-05 0.10598968092880E-05 0.14437523554120E-06 −0.28755906339710E-06
0.72663209592840E-06 −0.26620541678020E-06 0.26016282936860E-06
C21, C31, ..., C12,1 0.40223333063820E-09 0.38049981991010E-05 0.42163911582170E-05 0.48384215630660E-06
0.18023583692130E-05 0.13749994266810E-05 −0.13253837279380E-06 0.42096311969260E-06
0.92399054314190E-06 −0.81684431270170E-06 −0.11268252543490E-05
C22, C32, ..., C12,2 −0.84633026559830E-04 −0.15947431923720E-04 −0.95306695299840E-06 −0.42981760456790E-05
0.86171342848250E-06 0.28139783170420E-05 0.18104244435100E-05 0.11387318459420E-05
0.69959052072370E-08 −0.31359320991050E-06 −0.97535431722040E-07
C33, C43, ..., C12,3 0.35056298360330E-04 0.64568519841300E-05 0.33126670085550E-05 0.95567075435960E-06
0.88048981361710E-06 −0.12070336086800E-05 −0.99365116894820E-06 −0.29903288633400E-06
−0.13030274194510E-05 −0.14420200318390E-05
C44, C54, ..C12,4 0.30824936247700E-06 −0.46407608474120E-05 0.10087553624920E-05 0.24689899049820E-05
0.15882837683240E-05 0.29497879998410E-06 −0.12139330875140E-05 −0.15741226303010E-05
−0.10141072962050E-06
C55, ...C12,5 −0.44492645268970E-05 0.16578866158220E-05 −0.19168169008940E-06 −0.27917524692450E-05
−0.22719046508670E-05 0.42141118528680E-06 0.13564965343170E-05 0.72031532166240E-06
C66, ...C12,6 0.27622296666680E-05 −0.55960104736480E-06 −0.91440928257930E-06 0.80860626285270E-06
0.66960055718320E-06 −0.24475256306890E-06 −0.40343909794620E-06
C77, ...C12,7 0.44039558349960E-06 −0.47364667411900E-06 −0.61795403730490E-06 0.31785454600440E-06
0.66045729925750E-06 0.40444336054540E-06
C88...C12,8 −0.31065725923520E-06 0.12080798860860E-05 0.54059795600680E-06 −0.11820682984680E-05
−0.16039741594790E-05
C9,9, ...C12,9 −0.11719047495280E-05 −0.14575391837510E-05 −0.41520987784620E-06 0.70845500937310E-06
C10,10...C12,10 −0.27477718238890E-06 0.33329692241000E-06 0.48850428613000E-06
C11,11, C12,11 −0.44950881784560E-07 0.86475982548170E-06
C12,12 −0.66853201533900E-08
S21, S31, ..., S12,1 0.23031838535520E-10 0.25177117707630E-04 0.37632643561220E-05 0.21231129753950E-05
−0.15185193991260E-05 −0.22737194866050E-06 0.75052081765850E-06 −0.49021207335710E-06
0.22320069479760E-06 −0.22130696733310E-06 −0.51245929517270E-07
S22, S32, ..., S12,2 0.48939418321670E-04 0.83623939784670E-05 -0.89807968418080E-05 −0.11656954440860E-05
0.14691007371520E-05 −0.62967694381360E-06 0.50705823024380E-06 0.38219982478050E-06
−0.11157916028810E-05 −0.99401812075920E-06 0.53304503764570E-06
S33, S43, ..., S12,3 0.25571325457370E-04 −0.19377212284160E-06 0.27144097785790E-06 0.33292558689320E-06
−0.39698286606070E-06 −0.13413009168640E-05 −0.10076169517160E-05 0.44355180981810E-06
0.76528953740340E-06 0.31477016571890E-06
S44, S54, ..S12,4 −0.12873056977380E-04 −0.33815536222490E-05 0.26386569471530E-05 −0.42245529297430E-06
0.14812074290120E-06 0.16235822767760E-05 −0.69716893597150E-07 −0.64448534121760E-06
0.12358719897030E-06
S55, ...S12,5 0.37804789409520E-05 0.16226764849180E-05 −0.13585219042100E-05 −0.16297926112810E-05
−0.15493068736430E-05 −0.10629285253530E-05 0.89908740763190E-06 0.10016903702080E-05
S66, ...S12,6 0.82135333243850E-06 −0.19013643905730E-05 −0.17899324707530E-05 0.57773114546310E-06
0.11171248335330E-05 0.20644450708130E-07 −0.16298585248040E-05
S77, ...S12,7 −0.17756701426830E-05 0.16446964596680E-05 0.86891992653820E-06 −0.62023200497360E-06
−0.86497561721440E-06 −0.11283348722240E-06
S88 ...S12,8 -0.25028184874420E-06 −0.14644731038890E-06 0.82057425718930E-06 0.76703348424800E-06
−0.38794394344050E-06
S9,9, ...S12,9 −0.65779217295200E-06 −0.14635579222260E-05 −0.41944370089590E-06 0.47674076749600E-06
S10,10 ...S12,10 0.75328042634720E-06 0.19666657150790E-05 0.13782862550090E-05
S11,11, S12,11 −0.32345607088980E-06 −0.16550385123550E-05
S12,12 −0.89210620377340E-07

Notes. Coefficients are normalized, and the Mars radius is equal to 3396.0 km.

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