Basic Aspects of Geopotential Field Approximation From Satellite-to-Satellite Tracking Data

  • The satellite-to-satellite tracking (SST) problems are characterized from mathematical point of view. Uniqueness results are formulated. Moreover, the basic relations are developed between (scalar) approximation of the earth's gravitational potential by "scalar basis systems" and (vectorial) approximation of the gravitational eld by "vectorial basis systems". Finally, the mathematical justication is given for approximating the external geopotential field by finite linear combinations of certain gradient fields (for example, gradient fields of multi-poles) consistent to a given set of SST data.

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Author:Willi Freeden, Volker Michel
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10539
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (232)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):31B05 Harmonic, subharmonic, superharmonic functions
35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
86A20 Potentials, prospecting
86A30 Geodesy, mapping problems

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