HR: 1330h
AN: G43B-01    [Abstracts]
TI: On the S-approximations of the Earth's gravity field
AU: * Stepanova, I
EM: tet@ifz.ru
AF: Institute Physics of the Earth, B.Gruzinskaya, 10, Moscow, 123995 Russian Federation
AB: The so called method of linear analytical representations elaborated by V.N.Strakhov seems to be an effective tool for finding the anomalous field elements in local, regional and global cases. Suppose the "ideal" Earth is the interior of the ellipsoid with the parameters a,b,c. Then the "real" Earth can be treated as a domain restricted by piecewise continuous surface S which slightly deviates from this ellipsoid and contains the ideal Earth. Approximate values of a function G(x) which is harmonic outside S are assumed to be given in a set of points (arbitrary) on the surface S. These values can be represented by the sum of simple and double layers distributed on the ellipsoid. The densities of these layers (singular sources) are to be determined. In the local case we can take as the support of simple and double layers an infinite plane, i.e. XOY. The determination of densities (singular sources) reduces to solving a linear algebraic equation system with the approximately given right-hand side. For solving such systems there was used the new method of finding stable approximate solutions of linear algebraic equation systems with the approximately given right-hand side. The computer technologies designed by the author of this contribution have been tested on some models and turn out to be effective.
DE: 0903 Computational methods, potential fields
DE: 0920 Gravity methods
SC: Geodesy [G]
MN: 2005 Joint Assembly