The description of the earth's gravitational field by a series of spherical functions

Details The description of the earth's gravitational field by a series of spherical functions The description of the earth's gravitational field by a series of spherical functions

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975gekar.......25n&link_type=abstract

Geodeziia i Kartografiia, Sept. 1975, p. 25-29. In Russian.

Mathematics

Earth (Planet), Earth Gravitation, Geopotential, Gravitational Fields, Planetary Gravitation, Series (Mathematics), Error Analysis, Error Correcting Devices, Functions (Mathematics), Operators (Mathematics)

Scientific paper

A method is proposed for obtaining the spherical functions describing the earth's gravitational potential in outer space, using available information on the power law distribution of the terrestrial gravitational field and its errors. Comparison with the conventional method of determining the coefficients of these functions (Tikhonov, 1964) shows that the proposed method reduces the approximation error.

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