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Gravity effect calculation of two- and three-dimensional bodies by numerical integration

Schwereberechnung von zwei- und dreidimensionalen Modellkörpern durch numerische Integration

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Summary

The approach described in this paper allows the numerical calculation of the gravity of two- and three-dimensional bodies, provided their boundaries can be expressed by two single valued functions. Boundary integral theorems are used to convert the integrals for the gravity components into a form which can be integrated numerically. To perform numerical integration routines based on the Gauβ quadrature method are applied.

Zusammenfassung

Es wird ein Verfahren beschrieben, das die numerische Berechnung der Schwere von Modellkörpern ermöglicht, falls deren Oberfläche durch eindeutige Funktionen darstellbar ist. Die Integrale für die Schwerekomponenten werden durch partielle Integration in eine numerisch integrierbare Form gebracht. Die numerische Integration erfolgt nach der Gaußschen Quadraturmethode.

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Authors and Affiliations

  1. Institut für Meteorologie und Geophysik der Universität Wien, Hohe Warte 38, A-1190, Austria

    H. Granser

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  1. H. Granser
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Granser, H. Gravity effect calculation of two- and three-dimensional bodies by numerical integration. Arch. Met. Geoph. Biocl. A. 33, 229–238 (1984). https://doi.org/10.1007/BF02257727

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  • DOI: https://doi.org/10.1007/BF02257727

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