Two particular cases of the overdetermined gravimetry-gradiometry problem are discussed: (i) the case of a latitude-dependant statistical weight for gradiometric data, corresponding to a data distribution coming from satellite polar orbits, (ii) the case of a volume distribution, instead of a surface distribution, for satellite gradiometric data. In both cases a discussion of numerical methods for solving the problem with realistic data is started; for case (i), an analytic solution is found under simplifying assumptions.
@article{urn:eudml:doc:43696,
title = {Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {3},
year = {1990},
pages = {31-40},
zbl = {0718.35105},
mrnumber = {MR1060278},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43696}
}
Sacerdote, F.; Sansò, F. Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.. Revista Matemática de la Universidad Complutense de Madrid, Tome 3 (1990) pp. 31-40. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43696/