Upward/downward continuation of gravity gradients for precise geoid determination

Tóth, Gy and Földvári, L (2006) Upward/downward continuation of gravity gradients for precise geoid determination. Acta Geodaetica et Geophysica Hungarica, 41 (1). pp. 21-30. ISSN 1217-8977

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Abstract

The forthcoming GOCE mission will produce gravity gradient data at satellite altitude and consequently contribute to the more accurate determination of the gravity field. There are different data processing strategies in order to obtain updated gravity field information from these measurements, but most of them are based on the spherical harmonic expansion of the gravity field. An alternative approach would be the direct use of the GOCE data in the space domain. In this case we need formulas for transferring gravity gradients and other gravity field information in spherical approximation between different height levels. The well known upward/downward continuation problem of second vertical gravity gradients has been already solved. In this paper we discuss formulas for the other gravity gradients. The proposed approach is to use these gravity gradients in two combinations. The corresponding formulas are discussed and some conclusions on their practical use are drawn.

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