Direct gravity formula for the Geodetic Reference System 1967 |
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| Authors: | Dezsö Nagy |
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| Institution: | (1) Gravity and Geodynamics Division, Earth Physics Branch Energy, Mines and Resources, Ottawa, Ontario, Canada |
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| Abstract: | A Direct Gravity Formula, polynomial in latitude, has been obtained from the series expansion of the closed gravity formula
of Somigliana by a telescoping procedure. The use of the 7 coefficient formula gives a result as accurate as the closed expression.
With 6 coefficients it gives an order of magnitude better accuracy than that of the widely used Chebyshev approximation and
with 5 coefficients a result that is accurate to better than that of the conventional form of computing theoretical gravity.
The derived approximation is not only simpler than other forms, but also at least 11 and 17 times faster on the CDC CYBER
74 computer than the Chebyshev approximation and the closed gravity formula respectively.
Contribution from the Earth Physics Branch No 720. |
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