Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.

F. Sacerdote; F. Sansò

Revista Matemática de la Universidad Complutense de Madrid (1990)

  • Volume: 3, Issue: 1, page 31-40
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Sacerdote, F., and Sansò, F.. "Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.." Revista Matemática de la Universidad Complutense de Madrid 3.1 (1990): 31-40. <http://eudml.org/doc/43696>.

@article{Sacerdote1990,
abstract = {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.},
author = {Sacerdote, F., Sansò, F.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Gravimetría; Ecuaciones diferenciales en derivadas parciales; Problema de contorno; gravimetry-gradiometry problem},
language = {eng},
number = {1},
pages = {31-40},
title = {Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.},
url = {http://eudml.org/doc/43696},
volume = {3},
year = {1990},
}

TY - JOUR
AU - Sacerdote, F.
AU - Sansò, F.
TI - Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1990
VL - 3
IS - 1
SP - 31
EP - 40
AB - 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.
LA - eng
KW - Gravimetría; Ecuaciones diferenciales en derivadas parciales; Problema de contorno; gravimetry-gradiometry problem
UR - http://eudml.org/doc/43696
ER -

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