Accession Number : AD0847705
Title : On a Local Representation of the Fine Structure in the Earth's Gravitational Field.
Descriptive Note : Technical rept. Nov 67-Jul 68,
Corporate Author : AEROSPACE CORP SAN BERNARDINO CA SAN BERNARDINO OPERATIONS
Personal Author(s) : Batdorf, Samuel B.
Report Date : 31 JAN 1969
Pagination or Media Count : 36
Abstract : This paper introduces a class of nearly-harmonic functions useful in analyzing gravity above a limited region of the earth's surface. These 'B functions' constitute a complete orthogonal set of functions over that portion of the surface of a sphere which lies between two latitudes and two longitudes. By an iteration process, the coefficients of a series of B functions can be determined in such a manner as to provide an optimum fit to the difference between the prediction of a global gravity model and gravity actually measured on the earth's surface, thus bypassing the problem of reducing the data to a reference surface. Representation of local gravity as the sum of a global model in terms of spherical harmonics and a local model in terms of B functions appears to be an effective technique for handling the problem of altitude extension of surface data. (Author)
Descriptors : (*GEODESICS, MATHEMATICAL MODELS), EARTH(PLANET), MAGNETIC ANOMALY DETECTION, SPECIAL FUNCTIONS(MATHEMATICAL), ITERATIONS, NUMERICAL ANALYSIS, TABLES(DATA), GRAVITY.
Subject Categories : Geodesy
Distribution Statement : APPROVED FOR PUBLIC RELEASE