GOCE Gravity Gradients: Combination with GRACE and Satellite Altimetry

Bouman, J; Fuchs, M; Lieb, V; Bösch, Wolfgang; Dettmering, D; Schmidt, Michaël

doi:10.1007/978-3-642-32135-1_11

Cited by 1 publication

(1 citation statement)

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“…The satellite GOCE (Gravity field and steady-state Ocean Circulation Explorer), whose mission was to map in detail the Earth's gravity field [7,31], flew at an altitude of approximately 250 km. We compute here Earth's global topographic correction at such an altitude.…”

Section: Computation Of the Global Topographic Correction At The Altimentioning

confidence: 99%

Fast computation of general forward gravitation problems

Casenave

Métivier

Pajot-Métivier

et al. 2016

J Geod

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We consider the well-known problem of the forward computation of the gradient of the gravity potential generated by a mass density distribution of general 3D geometry. Many methods have been developed for given geometries, and the computation time often appears as a limiting practical issue for considering large or complex problems. In this work, we develop a fast method to carry-out this computation, where a tetrahedral mesh is used to model the mass density distribution. Depending on the close-or long-range nature of the involved interactions, the algorithm automatically switches between analytic integration formulae and numerical quadratic formulae, and relies on the Fast Multipole Method to drastically increase the computation speed of the long-range interactions. The parameters of the algorithm are empirically chosen for the computations to be the fastest possible while guarantying a given relative accuracy of the result. Computations that would load many-cores clusters for days can now be carried-out on a desk computer in minutes. The computation of the topographic correction over France and the global topographic correction at the altitude of the satellite GOCE are proposed as numerical illustrations of the method.

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Section: Computation Of the Global Topographic Correction At The Altimentioning

confidence: 99%