A Critical Analysis of a Recent Test of the Lense–Thirring Effect with the LAGEOS Satellites |
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| Authors: | Lorenzo Iorio |
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| Institution: | (1) Viale Unità di Italia 68, 70125 Bari, Italy |
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| Abstract: | In this paper, we quantitatively discuss the impact of the current uncertainties in the even zonal harmonic coefficients J
l
of the Newtonian part of the terrestrial gravitational potential on the measurement of the general relativistic Lense–Thirring effect. We use a suitable linear combination of the nodes Ω of the laser-ranged LAGEOS and LAGEOS-II satellites. The one-sigma systematic error due to mismodelling of the J
l
coefficients ranges from ~ 4% for the EIGEN−GRACE02S gravity field model to ~ 9% for the GGM02S model. Another important source of systematic error of gravitational origin is represented by the secular variations j
l
of the even zonal harmonics. While the relativistic and J
l
signals are linear in time, the shift due to j
l
is quadratic. We quantitatively assess their impact on the measurement of the Lense–Thirring effect with numerical simulations obtaining a 10−20% one-sigma total error over 11 years for EIGEN-GRACE02S. Ciufolini and Pavlis (Nature 431:958–960, 2004) claim a total error of 5% at the one-sigma level. |
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| Keywords: | Lense– Thirring effect LAGEOS satellites GRACE Earth gravity field models Even zonal harmonics and their secular variations |
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