Somigliana–Pizzetti gravity: the international gravity formula accurate to the sub-nanoGal level |
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| Authors: | A. A. Ardalan E. W. Grafarend |
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| Affiliation: | Department of Surveying and Geomatics Engineering, University of Tehran, P.O. Box 11365-4563,?Tehran, Iran, e-mail: a.ardalan@ut.ac.ir; Tel.: +98-21-8008841; Fax: +98-21-8008837, IR
Department of Geodesy and Geoinformatics, Stuttgart University, Geschwister-Scholl-Str. 24, ?D-70174 Stuttgart, Germany, e-mail: grafarend@gis.uni-stuttgart.de; Tel.: +49-711-121-3389; Fax: +49-711-121-3285, DE
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| Abstract: | The Somigliana–Pizzetti gravity field (the International gravity formula), namely the gravity field of the level ellipsoid (the International Reference Ellipsoid), is derived to the sub-nanoGal accuracy level in order to fulfil the demands of modern gravimetry (absolute gravimeters, super conducting gravimeters, atomic gravimeters). Equations (53), (54) and (59) summarise Somigliana–Pizzetti gravity Γ(φ,u) as a function of Jacobi spheroidal latitude φ and height u to the order ?(10−10 Gal), and Γ(B,H) as a function of Gauss (surface normal) ellipsoidal latitude B and height H to the order ?(10−10 Gal) as determined by GPS (`global problem solver'). Within the test area of the state of Baden-Württemberg, Somigliana–Pizzetti gravity disturbances of an average of 25.452 mGal were produced. Computer programs for an operational application of the new international gravity formula with (L,B,H) or (λ,φ,u) coordinate inputs to a sub-nanoGal level of accuracy are available on the Internet. Received: 23 June 2000 / Accepted: 2 January 2001 |
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| Keywords: | : Somigliana – Pizzetti Gravity – Level Ellipsoid – International Gravity Formula |
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