Abstract This study validates the ultra-high-degree gravity field models in terms of internal error estimate and external precision. Internal is evaluated by geoid degree variance cumulative height errors. The evaluation precision carried out using observed ground data sets Qinghai-Tibet Plateau Sichuan Basin mainland China. results show that at millimeter level, accumulated centimeter SGG-UGM-...

We introduce an approach for the direct measurement of gravitational potential (GP) along trajectory a satellite, with specific focus on Low-Earth Orbit (LEO) satellites. A LEO satellite communicates several Geosynchronous Equatorial (GEO) satellites via frequency signal links. The GP difference can be measured in real-time using shift by equipping both and GEO precise atomic clocks. Since at h...

In the numerical evaluation of geodetic convolution integrals, whether by quadrature or discrete/fast Fourier transform (D/FFT) techniques, the integration kernel is sometimes computed at the centre of the discretised grid cells. For singular kernels a common case in physical geodesy this approximation produces significant errors near the computation point, where the kernel changes rapidly acro...

GOCE gravity fields are assessed in an area around Reykjanes Ridge. Ship gravity measurements were found to be to inaccurate to determine possible improvement of GOCE gravity field models compared to the best available GRACE gravity field model. Differences between the GOCE gravity field models and EGM2008 does not appear to contain a component of the mid-ocean ridge signal. However the differe...

The remove-compute-restore (RCR) technique for regional geoid determination implies that both topography and low-degree global geopotential model signals are removed before computation and restored after Stokes' integration or Least Squares Collocation (LSC) solution. The Least Squares Modification of Stokes' Formula (LSMS) technique not requiring gravity reductions is implemented here with a R...

Weapply a novel approach for the gravimetricmarine geoidmodellingwhich utilise the boundary elementmethod (BEM). The direct BEM formulation for the Laplace equation is applied to obtain a numerical solution to the linearised fixed gravimetric boundary-value problem in points at the Earth's surface. The numerical scheme uses the collocation method with linear basis functions. It involves a discr...

Abstract The numerical approach for solving the fixed gravimetric boundary value problem (FGBVP) based on finite element method (FEM) with mapped infinite elements is developed and implemented. In this approach, 3D semi-infinite domain outside Earth bounded by triangular discretization of whole Earth’s surface extends to infinity. Then FGBVP consists Laplace equation unknown disturbing potentia...