A combined (spline-) interpolation and smoothing method for the determination of the external gravitational potential from heterogeneous data |
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| Authors: | W. Freeden B. Witte |
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| Affiliation: | 1. Rheinisch-Westf?lische Technische Hochschule Aachen, Templergraben 55, D-(51), Aachen, Federal Republic of Germany
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| Abstract: | The mathematical framework for a spline method combining interpolation and smoothing of heterogeneous data is presented. The method is demonstrated for a spherical earth model. A spline approximation for the gravitational field is obtained by using a Hilbert space with topology induced by the (Laplace-) Beltrami operator of the sphere. |
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