Gravity Field Modeling Using Energy ConservationApproach and GOCE Orbits

Objective The dissipative energy of the GOCE satellite is fitted by a Fourier series,this method cansolve the calculation problem for dissipative energy when the GOCE gravity field model is recoveredbased on an energy conservation approach.The Helmert-Wolf parameter estimation method is adoptedto provide an integer estimate for potential coefficients,the energy constant and Fourier series fittingparameters of dissipative energy.The potential coefficients are solved by elimination for the regionalparameter by least squares.Three gravity field models,up to the degree and order 100,namedGOCE-ECP01S,GOCE-ECP02Sand GOCE-ECP03S,are recovered based on the GOCE orbits for103-days from 2009-11-01to 2010-02-12.Finally,the models are compared with the existing EIGEN-6C,ITG-CHAMP05Sand GOCO03Smodels.The results show that the GOCE-ECP01Smodel is themost accurate when GOCE satellite dissipative energy is fitted by an one order Fourier series which ishigher than the ITG-CHAMP05Smodel,but lower than the model GOCO03S.The geoid error in theGOCE-ECP01Smodel is±3.2cm for the degree and order 100,but the precision of zonal coefficientsis low due to the polar gap.