Computer Science – Numerical Analysis
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..25..345a&link_type=abstract
(Workshop on the Use of Observations of the Artificial Earth Satellites in Geodesy, Slavsk, USSR, Apr. 14-19, 1980.) Celestial M
Computer Science
Numerical Analysis
Earth Surface, Fixed Points (Mathematics), Geophysics, Geopotential, Gravitational Fields, Differential Equations, Gravitational Constant, Numerical Analysis, Spherical Harmonics
Scientific paper
The problem of many fixed centers is applied to geophysics, using as examples four, five, and six fixed centers. In particular, the force functions of the problems of four, five, and six fixed centers are defined and used to study the equipotential surfaces and distributions of the gravity corresponding to the earth's surface. Expressions for the main parameters of the problem of many fixed centers through the parameters of the earth's gravitational field are found; the numerical values of these parameters, determined with an accuracy of up to 10 to the -9th, are defined up to the order 10 to the -7th. The equations for the level surfaces corresponding to the intermediate geoids are defined. Characteristics of these level surfaces are determined, as is the distribution of the force of gravity on them.
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