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Mathematical Modelling of Ballistic Gravimeters

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Gravity, Geoid and Marine Geodesy

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 117))

Abstract

Errors of ballistic gravimeters as associated with different types of instrument models are considered. The model based on the gravimeter’s weighting function is suggested and a simple way of getting the weighting functions is presented. The weighting function models are illustrated by analysis of different effects such as the influence of the number of intervals on the corrections, the dynamic properties of the instrument, and others.

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References

  1. Cook A.H. The absolute determination of the acceleration due to gravity. Metrologia, 1965, 1, 84–114.

    Article  Google Scholar 

  2. Romaniuk W.A. Messung des absoluten Wertes der Schwerebeschleunigung (Theorie) Geod. Geoph. Veröff,1974, R.III H.30.

    Google Scholar 

  3. Zumberge M.A. A portable apparatus for absolute measurement of the Earth’s gravity. Ph.D. Thesis, Univ. of Colorado, 1981.

    Google Scholar 

  4. Carre P. Mesure de l’accélération due à la pesanteur par la méthode des stations multiples: incertitudes sur cette grandeur et sur les autres paramètres ajustés. Rapport BIPM 91/1.

    Google Scholar 

  5. Murakami M., Nakahori Y. Results of absolute gravity measurements by Geographical Survey Institute. Bull. Geogr. Surv. Inst., 1987, 31, 1–6.

    Google Scholar 

  6. Parker P.R., Zumberge M.A. Parker R.L. A new method for fringe-signal processing in absolute gravity meters. Manuscripta geodaetica, 1995, 20, 173–181.

    Google Scholar 

  7. Bard Y. Nonlinear parameter estimation. Academic Press, 1974.

    Google Scholar 

  8. Siebert W.M. Circuits, Signals, andSystems. The MIT Press, 1986.

    Google Scholar 

  9. Nagornyi V.D. A new approach to absolute gravimeter analysis. Metrologia, 1995, 32, 201–208.

    Article  Google Scholar 

  10. Kravchenko V.F., Nagornyi V.D., Pustovoit V.I. On the theory of meters for variables modeled by polynomial coefficients. Doklady Mathematics, 1996, 53, 298–302.

    Google Scholar 

  11. Niebauer T.M. The effective measurement height of free-fall absolute gravimeters. Metrologia, 1989, 26, 115–118.

    Article  Google Scholar 

  12. Klopping F.J., Robertson D.S., Berstis K.A., Moose R.E., Carter W.E. Improvements in absolute gravity observations. J. Geophys. Res., 1991, 96, 8295–8303.

    Article  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Nagornyi, V.D. (1997). Mathematical Modelling of Ballistic Gravimeters. In: Segawa, J., Fujimoto, H., Okubo, S. (eds) Gravity, Geoid and Marine Geodesy. International Association of Geodesy Symposia, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03482-8_31

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  • DOI: https://doi.org/10.1007/978-3-662-03482-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08328-0

  • Online ISBN: 978-3-662-03482-8

  • eBook Packages: Springer Book Archive

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