A new methodology for computing the gravitational effect of a spherical tesseroid has been devised and implemented. The methodology is based on the rotation from the global Earth-Centred Rotational reference frame to the local Earth-Centred P-Rotational reference frame, referred to the computation point P, and it requires knowledge of the height and the angular extension of each topographic column. After rotation, the gravitational effect of the tesseroid is computed via the effect of a sector of the spherical zonal band. In this respect, two possible procedures for handling the rotated tesseroids have been proposed and tested. The results obtained with the devised methodology are in good agreement with those derived by applying other existing methodologies.

A new methodology to compute the gravitational contribution of a spherical tesseroid based on the analytical solution of a sector of a spherical zonal band / A.M. Marotta, R. Barzaghi. - In: JOURNAL OF GEODESY. - ISSN 0949-7714. - 91:10(2017), pp. 1207-1224. [10.1007/s00190-017-1018-x]

A new methodology to compute the gravitational contribution of a spherical tesseroid based on the analytical solution of a sector of a spherical zonal band

A.M. Marotta
Primo
;
2017

Abstract

A new methodology for computing the gravitational effect of a spherical tesseroid has been devised and implemented. The methodology is based on the rotation from the global Earth-Centred Rotational reference frame to the local Earth-Centred P-Rotational reference frame, referred to the computation point P, and it requires knowledge of the height and the angular extension of each topographic column. After rotation, the gravitational effect of the tesseroid is computed via the effect of a sector of the spherical zonal band. In this respect, two possible procedures for handling the rotated tesseroids have been proposed and tested. The results obtained with the devised methodology are in good agreement with those derived by applying other existing methodologies.
Spherical tesseroid; Spherical zonal band; Gravitational contribution; ECR and ECP reference frames
Settore GEO/10 - Geofisica della Terra Solida
Settore ICAR/06 - Topografia e Cartografia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/585162
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