You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
Improved estimates for the linear Molodensky problem
Contributor:
Sansò, Fernando;
Betti, Barbara
Published:
Springer Science and Business Media LLC, 2024
Published in:
Journal of Geodesy, 98 (2024) 5
Language:
English
DOI:
10.1007/s00190-024-01846-1
ISSN:
0949-7714;
1432-1394
Origination:
Footnote:
Description:
AbstractThe paper deals with the linearized Molodensky problem, when data are supposed to be square integrable on the telluroid S, proving that a solution exists, is unique and is stable in a space of harmonic functions with square integrable gradient on S. A similar theorem has already been proved by Sansò and Venuti (J Geod 82:909–916, 2008). Yet the result basically requires that S should have an inclination of less than $$60^\circ $$ 60 ∘ with respect to the vertical, or better to the radial direction. This constraint could result in a severe regularization for the telluroid specially in mountainous areas. The paper revises the result in an effort to improve the above estimates, essentially showing that the inclination of S could go up to $$75^\circ $$ 75 ∘ . At the same time, the proof is made precise mathematically and hopefully more readable in the geodetic community.