Reducing the Measurement Time of the Torsion Balance

  • Gy. Tóth
  • L. VölgyesiEmail author
  • S. Laky
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 139)


The main problem of torsion balance measurements is the long damping time however it is possible to significantly reduce the observation time by modern technology. The damping curve can be precisely determined by CCD sensors as well as computerized data collection and evaluation. The first part of this curve makes it possible at least theoretically to estimate the final position of the arm at rest. A finite element solution of a fluid dynamics model based on Navier–Stokes equations is presented here to solve the problem.


CCD sensor CFD Damping time Eötvös torsion balance Finite elements Navier–Stokes equations 



This research was funded partially by OTKA project No. 76231. Constructive comments by the anonymous reviewers helped us to improve the paper.


  1. Akima H (1970) A new method of interpolation and smooth curve fitting based on local procedures. J ACM 17(4):589–602CrossRefGoogle Scholar
  2. Glowinski R, Pan TW, Hesla TI, Joseph DD (1998) A distributed Lagrange multiplier/fictitious domain method for particulate flow. Int J Multiphase Flow 25:755–794CrossRefGoogle Scholar
  3. Gregory RD (2006) Classical mechanics. An undergraduate text. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  4. Heil M, Hazel AL (2006) oomph-lib – an object-oriented multi-physics finite-element library. In: Schafer M, Bungartz H-J (eds) Fluid-structure interaction. Lecture notes on computational science and engineering. Springer, Berlin, pp 19–49Google Scholar
  5. Janela J, Lefebvre A, Maury B (2005) A penalty method for the simulation of fluid-rigid body interaction. In: ESAIM proceedings, vol 14, pp 201–212Google Scholar
  6. Landau LD, Lifshitz EM (1976) Mechanics, vol 1, 3rd edn. Butterworth-Heinemann, OxfordGoogle Scholar
  7. Pozrikidis C (2001) Fluid dynamics: theory, computation and numerical simulation. Kluwer, Boston, p 658CrossRefGoogle Scholar
  8. Riedel KS, Sidorenko A (1995) Adaptive smoothing of the log-spectrum with multiple tapering. IEEE Trans Signal Process 43:188–195CrossRefGoogle Scholar
  9. Selényi P (1953) Collected papers of Eötvös Loránd. Akadémiai Kiadó, 386 pp. (in Hungarian)Google Scholar
  10. Völgyesi L, Cs É, Laky S, Gy T, Ultmann Z (2009a) Reconstruction of a torsion balance, and test measurements in the Mátyás cave in Budapest. Geomatikai Közlemények XII:71–82 (in Hungarian with English abstract)Google Scholar
  11. Völgyesi L, Csapó G, Laky S, Gy T, Ultmann Z (2009b) New torsion balance measurements in Hungary after a half century’s interruption. Geodézia Kartográfia 61(11):71–82 (in Hungarian with English abstract)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Geodesy and SurveyingBudapest University of Technology and Economics, Research Group of Physical Geodesy and Geodynamics of the Hungarian Academy of SciencesBudapestHungary

Personalised recommendations