## 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.

Author: | Willi Freeden, Volker Michel |
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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 |