Some Generalizations in the Mathematical Developments of the Theory of the Geodetic Overdetermined Problems
Dipartimento di Matematica Università di Pisa Pisa — Italia | Istituto di Topografia, Fotogrammetria e Geofisica Politecnico di Milano Milano — Italia |
Two particular cases of the overdetermined gravimetry-gradiometry problem are discussed:
the case of a latitude-dependant statistical weight for gradiometric data, corresponding to a data distribution coming from satellite polar orbits,
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.