Basic aspects of geopotential field approximation from satellite-to-satellite tracking data
✍ Scribed by W. Freeden; V. Michel
- Book ID
- 102509987
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 204 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.244
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✦ Synopsis
Abstract
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 field by ‘vectorial basis systems’. Finally, the mathematical justification 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. Copyright © 2001 John Wiley & Sons, Ltd.