The LAGEOS satellites orbital residuals determination and the way to extract gravitational and non-gravitational unmodeled perturbing effects

Lucchesi, David M.

doi:10.1016/j.asr.2007.04.040

Cited by 18 publications

(21 citation statements)

References 58 publications

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“…Summarizing, Iorio et al [28,138,139], having at disposal several Earth's gravity models released by different institutions worldwide, took the differences ∆J = J A − J B = 2 4 6 20 between the estimated multipoles for several pairs (A B) of models as representative of the real uncertainties of the even zonals. See also [140]. The models considered in [28,138,139] were EIGEN-GRACE02S [125], GGM02S [136], GGM03S [141], EIGEN-CG03C [134], ITG-Grace02s [142], ITGGrace03s [143], ITG-Grace2010s [144], AIUB-GRACE01S [145], AIUB-GRACE02S [146], JEM01-RL03B from JPL (NASA, USA), EGM2008 [147].…”

Section: It Would Roughly Correspond To ≈ 2 − 3 MM In Determining Thementioning

confidence: 99%

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

Renzetti¹

2013

Open Physics

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Section: It Would Roughly Correspond To ≈ 2 − 3 MM In Determining Thementioning

confidence: 99%

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

Renzetti¹

2013

Open Physics

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“…The scatter is still quite large 9 See Fig. 5 of Lucchesi (2007) for a comparison of the estimated C 40 in different models. 10 I thank M. Watkins (JPL) for having provided me with the even zonals and their sigmas of the JEM01-RL03B model.…”

Section: The Systematic Error Of Gravitational Origin In the Lageos-lmentioning

confidence: 96%

An Assessment of the Systematic Uncertainty in Present and Future Tests of the Lense-Thirring Effect with Satellite Laser Ranging

Iorio

2008

Space Sci Rev

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We deal with the attempts to measure the Lense-Thirring effect with the Satellite Laser Ranging (SLR) technique applied to the existing LAGEOS and LAGEOS II terrestrial satellites and to the recently approved LARES spacecraft. According to general relativity, a central spinning body of mass M and angular momentum S like the Earth generates a gravitomagnetic field which induces small secular precessions of the orbit of a test particle geodesically moving around it. Extracting this signature from the data is a demanding task because of many classical orbital perturbations having the same pattern as the gravitomagnetic one, like those due to the centrifugal oblateness of the Earth which represents a major source of systematic bias. The first issue addressed here is: are the so far published evaluations of the systematic uncertainty induced by the bad knowledge of the even zonal harmonic coefficients J of the multipolar expansion of the Earth's geopotential reliable and realistic? Our answer is negative. Indeed, if the differences J among the even zonals estimated in different Earth's gravity field global solutions from the dedicated GRACE mission are assumed for the uncertainties δJ instead of using their covariance sigmas σ J , it turns out that the systematic uncertainty δμ in the Lense-Thirring test with the nodes Ω of LAGEOS and LAGEOS II may be up to 3 to 4 times larger than in the evaluations so far published (5-10%) based on the use of the sigmas of one model at a time separately. The second issue consists of the possibility of using a different approach in extracting the relativistic signature of interest from the LAGEOS-type data. The third issue is the possibility of reaching a realistic total accuracy of 1% with LAGEOS, LAGEOS II and LARES, which should be launched in November 2009 with a VEGA rocket. While LAGEOS and LAGEOS II fly at altitudes of about 6000 km, LARES will be likely placed at an altitude of 1450 km. Thus, it will be sensitive to much more even zonals than LAGEOS and LAGEOS II. Their corrupting impact has been evaluated with the standard Kaula's approach up to degree = 60 by using J and σ J ; it turns out that it may be as large as some tens percent. The different orbit L. Iorio ( )

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“…[42] to extract the gravitomagentic signal from the LAGEOS and LAGEOS II data is described in detail in Refs. [54,63]. The Lense-Thirring force is not included in the dynamical force models used to fit the satellites' data.…”

Section: A New Approach To Extract the Lense-thirring Signature From mentioning

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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The LAGEOS satellites orbital residuals determination and the way to extract gravitational and non-gravitational unmodeled perturbing effects

Cited by 18 publications

References 58 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

An Assessment of the Systematic Uncertainty in Present and Future Tests of the Lense-Thirring Effect with Satellite Laser Ranging

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

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