Full paper in PDF:
$%F. Sacerdote and F. Sansò, Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems, Rev. Mat. Univ. Complut. Madrid 3 (1990), no. 1, 3140.%$

Some Generalizations in the Mathematical Developments of the Theory of the Geodetic Overdetermined Problems

Fausto SACERDOTE and Fernando SANSÒ
Dipartimento di Matematica
Università di Pisa
Pisa Italia
Istituto di Topografia,
Fotogrammetria e Geofisica
Politecnico di Milano
Milano Italia

Received: February 3, 1989
 
ABSTRACT

Two particular cases of the overdetermined gravimetry-gradiometry problem are discussed:

  1. the case of a latitude-dependant statistical weight for gradiometric data, corresponding to a data distribution coming from satellite polar orbits,

  2. 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 a., an analytic solution is found under simplifying assumptions.

1980 Mathematics Subject Classification (1985 revision): 35R99.