## Satellite-to-Satellite Tracking and Satellite Gravity Gradiometry

- The purpose of satellite-to-satellite tracking (SST) and/or satellite gravity gradiometry (SGG) is to determine the gravitational field on and outside the Earth's surface from given gradients of the gravitational potential and/or the gravitational field at satellite altitude. In this paper both satellite techniques are analysed and characterized from mathematical point of view. Uniqueness results are formulated. The justification is given for approximating the external gravitational field by finite linear combination of certain gradient fields (for example, gradient fields of single-poles or multi-poles) consistent to a given set of SGG and/or SST data. A strategy of modelling the gravitational field from satellite data within a multiscale concept is described; illustrations based on the EGM96 model are given.

Author: | Willi Freeden, Volker Michel, Helga Nutz |
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URN (permanent link): | urn:nbn:de:hbz:386-kluedo-10735 |

Serie (Series number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (236) |

Document Type: | Preprint |

Language of publication: | English |

Year of Completion: | 2001 |

Year of Publication: | 2001 |

Publishing Institute: | Technische Universität Kaiserslautern |

Tag: | Earth' ; clo; fundamental systems ; s external gravitational field ; satellite gravity gradiometry ; satellite-to-satellite tracking ; uniqueness |

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 |