Molodensky's Series and Analytical Continuation,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1970
- Accession Number
- AD0724133
Entities
People
- Helmut Moritz
Organizations
- Ohio State University