The solution of the general geodetic boundary value problem by least squares |
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Authors: | M van Gelderen R Rummel |
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Institution: | Oude Delft 43B, 2611 BC Delft, The Netherlands, e-mail: martinvangelderen@yahoo.com; Tel.: +3115 2142125, NL Institut für Astronomische und Physikalische Geod?sie, Technische Universit?t München, Arcisstrasse 21, D-80290 Munich, Germany e-mail: rummel@step.iapg.verm.tu-muenchen.de; Tel.: +49 89 289 23189; Fax: +49 89 289 23178, DE
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Abstract: | A general scheme is given for the solution in a least-squares sense of the geodetic boundary value problem in a spherical,
constant-radius approximation, both uniquely and overdetermined, for a large class of observations. The only conditions are
that the relation of the observations to the disturbing potential is such that a diagonalization in the spectrum can be found
and that the error-covariance function of the observations is isotropic and homogeneous. Most types of observations used in
physical geodesy can be adjusted to fit into this approach. Examples are gravity anomalies, deflections of the vertical and
the second derivatives of the gravity potential.
Received: 3 November 1999 / Accepted: 25 September 2000 |
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Keywords: | : Geodetic boundary value problem Geoid |
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