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The gravitational potential and its vertical derivatives

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Summary

The vertical gradient of gravitational field is derived by a corollary ofGreen's theorem from the gravitational potential. For the solving of the integral defined the vertical gradient is given a simple approximation. For practical computation are presented the numerical values of coefficients.

Zusammenfassung

Der vertikale Gradient des Gravitationsfeldes ist vom Gravitationspotentials als Folgensatz desGreen-Theorems abgeleitet. Zur Lösung des den vertikalen Gradienten definierenden Integrals wurde ein einfaches Annäherungsverfahren angewandt. Für praktische Berechnungen sind die numerischen Werte der Koeffizienten gegeben.

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Literature

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Authors and Affiliations

  1. Geophysical Adviser to the Austrian Oil Administration (OeMV), Vienna

    K. Kántás

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  1. K. Kántás
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Kántás, K. The gravitational potential and its vertical derivatives. Geofisica Pura e Applicata 44, 20–24 (1959). https://doi.org/10.1007/BF01997636

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  • DOI: https://doi.org/10.1007/BF01997636

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