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Kinematic Systems in Geodesy, Surveying, and Remote Sensing pp 27–36Cite as

Modelling Inertial Positioning Problems in Covariant Formalism

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Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 107))

Abstract

The physical backbone of inertial positioning is the motion equation (specific force equation) of the inertial vehicle which is expressed in different coordinate frames depending on the technical implementation (space stabilized, earth-slaved, strapdown system). The result of this adaptation is a set of mechanization equations for data processing or error analysis.

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References

  • Arnold (1985), A mechanika matematikai modszerei, Muszaki Kiado, Budapest, Hungary

    Google Scholar 

  • Bartha (1986), Bulletine Geodesique, 60, pp 121–128

    Article  Google Scholar 

  • Bekessy et al (1962), Elmeleti Fizikai Feladatok, Tankonyvkiado, Budapest, Hungary (in Hungarian)

    Google Scholar 

  • Brining (1971), Inertial Navigation Systems Analysis, Wiley-Interscience, New York

    Google Scholar 

  • Budo (1963), Mechanika, Tankonyvkiado, Budapest, Hungary (in Hungarian)

    Google Scholar 

  • Dermanis, A. (1985) Personal communications

    Google Scholar 

  • Doufexopoulou et al. (1989), Acta Geodaetica Geophysica Mont. of Hung. Acad. 24/3/4 pp. 230–236

    Google Scholar 

  • Flanders (1963), Differential Forms, Academic Press, New York, USA

    Google Scholar 

  • Gonthier (1984), Smoothing Procedures for Inertial Survey Systems of Local Level Type, UCSE Report No. 20008, The University of Calgary, Canada

    Google Scholar 

  • Grafarend (1973), OSU Report No. 202, Columbus, Ohio, USA

    Google Scholar 

  • Heiskanen-Moritz (1967), Physical Geodesy, Freeman, San Francisco, USA

    Google Scholar 

  • Hotine (1969), Mathematical Geodesy, ESSA, Washington, USA

    Google Scholar 

  • Jordan (1978), JGR B 10/No. 20.

    Google Scholar 

  • Kearsley et al. (1985), White Sands Revisited, A Comparison of Techniques to Predict Deflections of the Vertical, UCSE Report No. 30007, The University of Calgary, Canada

    Google Scholar 

  • Lanczos (1966), The Variational Principles of Mechanics, University of Toronto, Canada

    Google Scholar 

  • Misner et al. (1973), Gravitation, Freeman, San Francisco, USA

    Google Scholar 

  • Moritz (1976), OSU Report No. 242, Columbus, Ohio, USA

    Google Scholar 

  • Moritz (1980), Advanced Physical Geodesy, Wichmann

    Google Scholar 

  • Rozsa (1974), Linearis Algebra, Muszaki, Budapest, Hungary (in Hungarian)

    Google Scholar 

  • Schroeder et al. (1988), Manuscripta Geodaetica, 13, pp 224–248

    Google Scholar 

  • Schwarz (1983), Rev. of Geophys. and Space Physics, 21/4, pp 878–890

    Article  Google Scholar 

  • Simmonds (1982), A Brief on Tensor Analysis, Springer, Berlin, Germany

    Google Scholar 

  • Vassiliou (1984), Manuscripta Geodaetica, 9/4, pp 281–306

    Google Scholar 

  • Wong (1982), A Kalman Filter-Smoother for an Inertial Survey System of Local Level Type, UCSE Report No. 20001, The University of Calgary, Canada

    Google Scholar 

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Author information

Authors and Affiliations

  1. Geodetic and Geophysical Research Institute, Hungarian Academy of Sciences, P.O.Box 5, H-9400, Sopron, Hungary

    G. Bartha

  2. Higher Geodesy Laboratory NTU of Athens, Heroon Polytechniou 9, Zografos, GR-157 73, Athens, Greece

    M. Doufexopoulou & R. Korakitis

Authors
  1. G. Bartha
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  2. M. Doufexopoulou
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  3. R. Korakitis
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Editor information

Editors and Affiliations

  1. Department of Surveying Engineering, University of Calgary, T2N 1N4, Calgary, Alberta, Canada

    Klaus-Peter Schwarz  & Gérard Lachapelle  & 

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© 1991 Springer-Verlag New York Inc.

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Bartha, G., Doufexopoulou, M., Korakitis, R. (1991). Modelling Inertial Positioning Problems in Covariant Formalism. In: Schwarz, KP., Lachapelle, G. (eds) Kinematic Systems in Geodesy, Surveying, and Remote Sensing. International Association of Geodesy Symposia, vol 107. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3102-8_3

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  • DOI: https://doi.org/10.1007/978-1-4612-3102-8_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97465-1

  • Online ISBN: 978-1-4612-3102-8

  • eBook Packages: Springer Book Archive

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