Accession Number : AD0724133

Title :   Molodensky's Series and Analytical Continuation,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s) : Moritz,Helmut

Report Date : SEP 1970

Pagination or Media Count : 44

Abstract : It is shown that the Molodensky series solution and the solution of OSU Report 126, based on analytical continuation, are asymptotic series satisfying the basic equations in terms of which the problems are formulated. For the investigation of the second solution, analytical continuation to a level surface completely outside the topographic masses is used. The result provides a logical completion of the proof of equivalence of these two series solutions. It is also shown that the results of the method of Report 126 are the same regardless of the level surface, to which analytical continuation is made. This completes the justification of the formal use of analytical continuation into the interior of the topographic masses. (Author)

Descriptors :   (*ASYMPTOTIC SERIES, GEODESICS), MAPPING, TERRAIN, GRAVITY, BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS, CONVERGENCE, THEOREMS

Subject Categories : Astrophysics
      Geodesy
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE