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.

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

Share in Twitter Search Google Scholar
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
Date of the Publication (Server):2000/08/21
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification (mathematics):31-XX POTENTIAL THEORY (For probabilistic potential theory, see 60J45) / 31Bxx Higher-dimensional theory / 31B05 Harmonic, subharmonic, superharmonic functions
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A20 Potentials, prospecting
86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A30 Geodesy, mapping problems
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581 $