Accession Number : AD0728632

Title :   On the Linearization of the Geodetic Boundary Value Problem,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s) : Meissl,Peter

Report Date : MAY 1971

Pagination or Media Count : 79

Abstract : The geodetic boundary value problem consists in determining an unknown closed surface from the boundary values of an external potential and its gradient. A rigorous mathematical formulation of this problem is given leading to a system of non-linear integro-differential equations. The formalism of differentiation in function spaces is applied yielding a linearized version which involves no further neglections and approximations. Tensor calculus is used in linearizing the various differential geometric quantities. The results are specialized to a linearization with respect to the equipotential sphere in which case the formulas of Stokes and Vening Meinesz are simultaneously obtained. (Author)

Descriptors :   (*GEODESICS, BOUNDARY VALUE PROBLEMS), GRAVITY, POTENTIAL ENERGY, OPERATORS(MATHEMATICS), FUNCTIONAL ANALYSIS

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE