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.

Metadaten
Verfasser*innenangaben:	Willi Freeden, Volker Michel
URN:	urn:nbn:de:hbz:386-kluedo-10539
Schriftenreihe (Bandnummer):	Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (232)
Dokumentart:	Preprint
Sprache der Veröffentlichung:	Englisch
Jahr der Fertigstellung:	2000
Jahr der Erstveröffentlichung:	2000
Veröffentlichende Institution:	Technische Universität Kaiserslautern
Datum der Publikation (Server):	21.08.2000
Fachbereiche / Organisatorische Einheiten:	Kaiserslautern - Fachbereich Mathematik
DDC-Sachgruppen:	5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Klassifikation (Mathematik):	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
Lizenz (Deutsch):	Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011