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Normal gravity value using Somigliana's formula

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Normal gravity value using Somigliana's formula

by Cuneyt Aydin

 

25 Jan 2005 (Updated 27 Jan 2005)

Normal gravity value of a point on Geodetic Reference System 1980.

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NGRAV computes the normal gravity value (in m/sec^2 unit) of a point with the geodetic latitude defined in GRS80 ellipsoid,which is the more up-to-date and internationally adopted reference ellipsoid.

The normal gravity value is used for the computation of the gravity anomaly which removes the effect caused by the Earth oblateness and centrifugal acceleration from the observed gravity value and which is used frequently in geophysics and geodesy for the physical interpretation of the gravity accelerations and for the solution of the boundary value problems.

The computation depends on a very simple equation;the Somigliana's formula. Despite the simplicity, it is the most accurate one among the others, e.g, the first and second Chebyshev approximations (commonly used ones).

References:
[1] Featherstone WE and Dentith MC, 1997, A geodetic approach to gravity data reduction for geophysics,Computers&Geosciences,Vol.2,No.10,pp:1063-1070
[2] Moritz H, 2000, Geodetic Reference System 1980, Journal of Geodesy, 74/1, pp:128-162
[3] Vanicek P and Krakiwsky EJ, 1986, Geodesy: The concepts, North-Holland, Amsterdam

MATLAB release MATLAB 6.1 (R12.1)
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Comments and Ratings (4)
09 Feb 2005 Paul Beaudoin

I was actually looking for a definition and this was exactly what I needed.

15 Feb 2005 khalid kheiralla

as post graduate student in geophysical potential field data.

23 Aug 2006 mahmood samiee  
06 Feb 2012 Val Schmidt

I would only modify this slightly such that the mathematical operations are element wise rather than vector/matrix math (i.e. use .* vs *, ./ vs / and .^ vs ^.

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Tag Activity for this File
Tag Applied By Date/Time
normal gravity Cuneyt Aydin 22 Oct 2008 07:40:15
grs80 ellipsoid Cuneyt Aydin 22 Oct 2008 07:40:15
earth sciences Cuneyt Aydin 22 Oct 2008 07:40:15
gravity anomaly Cuneyt Aydin 22 Oct 2008 07:40:15
gravity anomaly ion karolos 14 May 2009 10:46:02

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