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Gravitomagnetism and Its Measurement with Laser Ranging to the LAGEOS Satellites and GRACE Earth Gravity Models

  • Ignazio Ciufolini
  • Erricos C. Pavlis
  • John Ries
  • Rolf Koenig
  • Giampiero Sindoni
  • Antonio Paolozzi
  • Hans Newmayer
Part of the Astrophysics and Space Science Library book series (ASSL, volume 367)

Abstract

Dragging of Inertial Frames and gravitomagnetism are predictions of Einstein’s theory of General Relativity. Here, after a brief introduction to these phenomena of Einstein’s gravitational theory, we describe the method we have used to measure the Earth’s gravitomagnetic field using the satellites LAGEOS (LAser GEOdynamics Satellite), LAGEOS 2 and the Earth’s gravity models obtained by the spacecraft GRACE. We then report the results of our analysis with LAGEOS and LAGEOS 2, and with a number of GRACE (Gravity Recovery and Climate Experiment) models, that have confirmed this prediction of Einstein General Relativity and measured the Earth’s gravitomagnetic field with an accuracy of approximately 10%. We finally discuss the error sources in our measurement of gravitomagnetism and, in particular, the error induced by the uncertainties in the GRACE Earth gravity models. Here we both analyze the errors due to the static and time-varying Earth gravity field, and in particular we discuss the accuracy of the GRACE-only gravity models used in our measurement. We also provide a detailed analysis of the errors due to atmospheric refraction mis-modelling and to the uncertainties in measuring the orbital inclination. In the appendix, we report the complete error analysis and the total error budget in the measurement of gravitomagnetism with the LAGEOS satellites.

Keywords

Satellite Laser Range Nodal Rate Gravity Field Model Zonal Harmonic Satellite Laser Range Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgement

We gratefully acknowledge the support of ASI, the Italian Space Agency, grants I/043/08/0 and I/016/07/0.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Ignazio Ciufolini
    • 1
  • Erricos C. Pavlis
    • 2
  • John Ries
    • 3
  • Rolf Koenig
    • 3
  • Giampiero Sindoni
    • 4
  • Antonio Paolozzi
    • 4
  • Hans Newmayer
    • 3
  1. 1.Dip. Ingegneria dell’InnovazioneUniversità del Salento and INFN Sezione di LecceLecceItaly
  2. 2.Joint Center for Earth Systems TechnologyUniversity of Maryland, Baltimore CountyMarylandUSA
  3. 3.Center for Space ResearchUniversity of Texas at AustinAustinUSA
  4. 4.GFZ German Research Centre for GeosciencesPotsdamGermany

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