Convergence of Molodensky's series

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SES_GeodeticScience_Report_183.pdf (2 MB)

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1972-09

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Ohio State University. Division of Geodetic Science

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Abstract

Molodensky's solution of the geodetic boundary-value problem consists in an asymptotic series expansion with respect to a parameter k. It is shown that this series converges for sufficiently small values of k. The method starts from an integral equation given by Brovar and uses a Neumann series solution of this equation; the norms of the occurring singular integral operators are suitably estimated.

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Prepared for Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, Bedford, Massachusetts: Contract No. F19628-72-C-0120, Project No. 8607, Task No. 8607-01

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https://kb.osu.edu/handle/1811/104960

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Geodetic Science Reports (School of Earth Sciences)