Abstract
In the last year a new formulation of Molodensky’s problem has been given, in which the gravity vector \(\vec g\) has been considered as the independent variable of the problem, while the position vector \(\vec x\) is the dependent. This new approach has the great advantage to transform the problem of Molodensky which is of free boundary type, into a fixed boundary problem for a non linear differential equations. In this paper the first results of the study of the new approach are summarized, without going into many mathematical details. The problem of Molodensky for the rotating earth is also discussed.
Similar content being viewed by others
References
L. HÖRMANDER : The Boundary Problems of Physical Geodesy, The Royal Institute of Technology, Division of Geodesy, Stockholm, 1975.
T. KRARUP : Letters on Molodensky’s Problem, to members of IAG/SSG. 4.45. (Unpublished manuscript).
H. MORITZ : “The boundary Value Problem of Physical Geodesy”, Ann. Ac. Scient. Finnicae, Ser. A, Geologica-Geographica, 83, 1965.
F. SANSÒ :“The Geodetic Boundary Value Problem in Gravity Spece.” Memorie dell’Accademia del Lincei, 1977.
F. SANSÒ :“Discussion on the Existence and Uniqueness of the Solution of Molodensky’s Problem in Gravity Space”. Rendiconti dell’Accademia dei Lincei, 1977.
F. SANSÒ :“On the Condition for the Existence of a Solution of the Modified Molodensky’s Problem in Gravity Space”. Rendiconti Accedemia dei Lincei, 1977.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sanso, F. Molodensky’s problem in gravity space: A review of the first results. Bull. Geodesique 52, 59–70 (1978). https://doi.org/10.1007/BF02521792
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02521792