On the measurement of the Lense–Thirring effect using the nodes of the LAGEOS satellites, in reply to “On the reliability of the so-far performed tests for measuring the Lense–Thirring effect with the LAGEOS satellites” by L. Iorio

Ciufolini, Ignazio; Pavlis, E. C.

doi:10.1016/j.newast.2005.04.003

Cited by 38 publications

(38 citation statements)

References 33 publications

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“…Iorio [129] soon criticized some aspects of [130]. He noted that the total error may be as large as 15 − 45% (1 − 3σ ) because of the uncertainties in the long-term temporal variationsJ = 4 6 of the even zonals impacting Eq.…”

Section: Eliminating the Perigee Of Lageos-2 With The Grace Modelsmentioning

confidence: 99%

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History of the attempts to measure orbital frame-dragging with artificial satellites

Renzetti¹

2013

Open Physics

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Section: Eliminating the Perigee Of Lageos-2 With The Grace Modelsmentioning

confidence: 99%

“…Ciufolini and Pavlis [130] replied to Iorio [129] with arguments sometimes weak. For example, they blamed Iorio [129] for having allegedly proposed to include the mean anomaly in future Lense-Thirring experiments, but such claims are not correct.…”

Section: Eliminating the Perigee Of Lageos-2 With The Grace Modelsmentioning

confidence: 99%

History of the attempts to measure orbital frame-dragging with artificial satellites

Renzetti¹

2013

Open Physics

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“…The realistic evaluation of the total error budget of such a test raised a lively debate [47][48][49][50][51][52][53], mainly focussed on the impact of the static and time-varying parts of the Newtonian component of the Earth's gravitational potential through the aliasing secular precessions induced on a satellite's node. A common feature of all the competing evaluations so far published is that the systematic bias due to the static component of the geopotential was calculated always by using the released (more or less accurately calibrated) covariances σ J of one Earth gravity model solution at a time for the uncertainties δJ in the even zonal harmonics, yielding a percentage error particular to each model.…”

Section: The Systematic Error Of Gravitational Originmentioning

confidence: 99%

Conservative evaluation of the uncertainty in the LAGEOS-LAGEOS II Lense-Thirring test

Iorio

2009

Open Physics

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Abstract:We deal with the test of the general relativistic gravitomagnetic Lense-Thirring effect currently being conducted in the Earth's gravitational field with the combined nodes Ω of the laser-ranged geodetic satellites LAGEOS and LAGEOS II. One of the most important sources of systematic uncertainty on the orbits of the LAGEOS satellites, with respect to the Lense-Thirring signature, is the bias due to the even zonal harmonic coefficients J of the multipolar expansion of the Earth's geopotential which account for the departures from sphericity of the terrestrial gravitational potential induced by the centrifugal effects of its diurnal rotation. The issue addressed here is: are the so far published evaluations of such a systematic error reliable and realistic? The answer is negative. Indeed, if the difference ∆J among the even zonals estimated in different global solutions (EIGEN-GRACE02S, EIGEN-CG03C, GGM02S, GGM03S, ITG-Grace02, ITG-Grace03s, JEM01-RL03B, EGM2008, AIUB-GRACE01S) is assumed for the uncertainties δJ instead of using their more-or-less calibrated covariances σ J , it turns out that the systematic error δµ in the Lense-Thirring measurement is about 3 to 4 times larger than in the evaluations so far published based on the use of the covariances of one model at a time separately, amounting up to 37% for the pair EIGEN-GRACE02S/ITGGrace03s. The comparison among the other recent GRACE-based models yields bias as large as about 25−30%. The major discrepancies still occur for J 4 J 6 and J 8 , which are just to which the zonals the combined LAGEOS/LAGOES II nodes are most sensitive. PACS

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“…This must not be confused with the measurement of the intrinsic gravitomagentic field by means of the satellite laser ranging technique applied to LAGEOS [13,14,15,16]. (EIH) equations of motion for the Earth and for the Moon with respect to the barycenter of the solar system, and repeats the original derivation by Brumberg [25,26], which later was independently derived by Baierlein [27].…”

mentioning

confidence: 93%

“…The first classic experiment to test the intrinsic gravitomagnetic effect of the rotating Earth has been carried out by observing LAGEOS in combination with other geodetic satellites [13,14,15,16] which verified its existence with a remarkable precision as predicted by Einstein's general relativity. Independent experimental measurement of the intrinsic gravitomagnetic field of the rotating Earth is currently under way by the Gravity Probe B mission [17].…”

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confidence: 99%

The Gravitomagnetic Influence on Earth-Orbiting Spacecrafts and on the Lunar Orbit

Kopeikin

2010

Astrophysics and Space Science Library

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Gravitomagnetic field is covariantly split in the intrinsic and extrinsic parts, which are generated by rotational and translational currents of matter respectively. The intrinsic component has been recently discovered in the LAGEOS spacecraft experiment. We discuss the method of detection of the extrinsic tidal component with the lunar laser ranging (LLR) technique. Analysis of the gauge residual freedom in the relativistic theory of three-body problem demonstrates that LLR is currently not capable to detect the extrinsic gravitomagnetic effects which are at the ranging level of few millimeters. Its detection requires further advances in the LLR technique that are coming in the next 5-10 years. Detection of gravitomagnetic components as predicted by Einstein's theory of general relativity is one of the primary goals of experimental gravitational physics. The paper [1] states that the gravitomagnetic interaction plays a part in shaping the lunar orbit readily obervable by LLR. The authors picked up a "gravitomagnetic" term from the parameterized post-Newtonian (PPN) equation of motion of massive bodies [2] and proved that it correctly reproduces the Lense-Thirring precession of the GP-B gyroscope. The paper [1] argues that the very same term in the equations of motion of the Moon, derived in the solar-system barycentric (SSB) frame, perturbs the lunar orbit with a radial amplitude ≃ 6 meters that was observed with the lunar laser ranging (LLR). We have explained [3] and confirm in more detail in the present paper that the gauge freedom of the relativistic three-body problem suppresses the gravitomagnetic effects in the lunar motion, that depend on the Earth's velocity V around the Sun, to the level ≤ 1 centimeter. It makes LLR currently insensitive to

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On the measurement of the Lense–Thirring effect using the nodes of the LAGEOS satellites, in reply to “On the reliability of the so-far performed tests for measuring the Lense–Thirring effect with the LAGEOS satellites” by L. Iorio

Cited by 38 publications

References 33 publications

History of the attempts to measure orbital frame-dragging with artificial satellites

History of the attempts to measure orbital frame-dragging with artificial satellites

Conservative evaluation of the uncertainty in the LAGEOS-LAGEOS II Lense-Thirring test

The Gravitomagnetic Influence on Earth-Orbiting Spacecrafts and on the Lunar Orbit

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