External gravitational field of a homogeneous ellipsoidal shell: a reference for testing gravity modelling software

نویسندگان

چکیده

Abstract There are numerous applications in geodesy and other geo-sciences which the gravitational potential effect or functions of computed by forward modelling from a given mass distribution. Different volume discretisations, e.g. prisms, tesseroids layers used. In order to control numerical realisation calculation practical application, reduction tasks, these evaluation programs should be verified against rigorous analytical solutions. this contribution, closed solution for an ellipsoidal shell as test body is presented. Furthermore, we derive respective formulae gravity vector gradient tensor. Program implementations tesseroid approach compared on basis arrangement. For usage, fast-converging expansions spherical harmonics provided addition. The derivation based homogeneous ellipsoid computation points situated rotation axis, then extended external space.

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ژورنال

عنوان ژورنال: Journal of geodesy

سال: 2023

ISSN: ['1432-1394', '0949-7714']

DOI: https://doi.org/10.1007/s00190-023-01733-1