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Inversion of STEP-observation equation using banach's fixed-point principle

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Inverse Methods

Part of the book series: Lecture Notes in Earth Sciences ((LNEARTH,volume 63))

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Abstract

— The application of Banach's fixed point principle generates an iteration process which is convergent exept for a small band around the zonal axis.

— The convergence is fast, i.e. after 30 iterations the truncation error can be neglected.

— Exept of this narrow band around the zonal axis the gravitational field can be resolved from STEP gradiometer data at least up to degree and order 168.

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References

  • Brovelli M. and Sanso F. Gradiometry: the study of the V yy component in the B.V.P. approach Manuscripta Geodaetica 15(1990)

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  • Svensson L. Pseudodifferential Operators-a New Approach to the Boundary Problems of Physical Geodesy manuscripta geodetica Vol. 8 (1983), pp 1–40

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  • Rummel R. and Colombo O. Gravity field determination from satellite gradiometry, Bull. Geod. 59(1985)

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Bo Holm Jacobsen Klaus Mosegaard Paolo Sibani

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© 1996 Springer-Verlag

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Keller, W. (1996). Inversion of STEP-observation equation using banach's fixed-point principle. In: Jacobsen, B.H., Mosegaard, K., Sibani, P. (eds) Inverse Methods. Lecture Notes in Earth Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0011783

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  • DOI: https://doi.org/10.1007/BFb0011783

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61693-1

  • Online ISBN: 978-3-540-70687-8

  • eBook Packages: Springer Book Archive

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