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Recent advances in the theory of the geodetic boundary value problem
Author(s) -
Sanso’ Fernando
Publication year - 1981
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg019i003p00437
Subject(s) - geodetic datum , gravimetry , boundary value problem , mathematics , boundary (topology) , geodesy , value (mathematics) , space (punctuation) , geology , mathematical analysis , computer science , statistics , geotechnical engineering , reservoir modeling , operating system
After a short discussion on the general meaning of boundary value problems in physical geodesy the most classical Molodensky’s problem is considered. Recent advancements in the study of this problem, in both the classical and the gravity space approach, are discussed. In particular, some new theorems are presented, one of which also refers to the dependence of the solution on variations of the choice of the telluroid. Geodetic boundary value problems of different types are mentioned: one of these, the altimetry‐gravimetry problem, is also of valuable practical importance.