On Monte Carlo simulations of the LAser RElativity Satellite experiment

Renzetti, G.

doi:10.1016/j.actaastro.2015.04.009

Cited by 12 publications

(6 citation statements)

References 72 publications

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“…A third member of this class of passive, spherical laser targets, named LARES, was launched a few years ago (Paolozzi and Ciufolini, 2013), and it will be used to try to refine the existing tests in view of its improved manufacturing and design which will reduce the direct impact of the nongravitational perturbations; according to its proponents, it should be possible to reach a ≈ 1% total accuracy (Ciufolini et al, 2013). For recent overviews of the performed and ongoing attempts to detect the Lense-Thirring effect with artificial Earth's satellites and related discussions on the realistic accuracy level reached, see, e.g., Iorio et al (2011), Ciufolini et al (2012), Renzetti (2013); Iorio et al (2013); Ciufolini et al (2013); Renzetti (2015) and references therein.…”

Section: Introductionmentioning

confidence: 99%

The impact of the orbital decay of the LAGEOS satellites on the frame-dragging tests

Iorio

2016

Advances in Space Research

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The laser-tracked geodetic satellites LAGEOS, LAGEOS II and LARES are currently employed, among other things, to measure the general relativistic Lense-Thirring effect in the gravitomagnetic field of the spinning Earth with the hope of providing a more accurate test of such a prediction of the Einstein's theory of gravitation than the existing ones. The secular decayȧ of the semimajor axes a of such spacecrafts, recently measured in an independent way to a σȧ ≈ 0.1 − 0.01 m yr −1 accuracy level, may indirectly impact the proposed relativistic experiment through its connection with the classical orbital precessions induced by the Earth's oblateness J 2 . Indeed, the systematic bias due to the current measurement errors σȧ is of the same order of magnitude of, or even larger than, the expected relativistic signal itself; moreover, it grows linearly with the time span T of the analysis. Therefore, the parameter-fitting algorithms must be properly updated in order to suitably cope with such a new source of systematic uncertainty. Otherwise, an improvement of one-two orders of magnitude in measuring the orbital decay of the satellites of the LAGEOS family would be required to reduce this source of systematic uncertainty to a percent fraction of the Lense-Thirring signature.

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Section: Introductionmentioning

confidence: 99%

The impact of the orbital decay of the LAGEOS satellites on the frame-dragging tests

Iorio

2016

Advances in Space Research

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“…Unfortunately, the precision in the determination of the Lense-Thirring effect or the perihelion precession, even for the highly-accurate measurements of the geodynamics satellites, such as LAGEOS, is still not sufficient to evince an irrefutable discrepancy with the predictions of standard GR. It is hoped that the newly-launched LARES [44] satellite may yield an improvement in the accuracy of the ongoing and forthcoming tests of fundamental physics, although also, such a possibility is currently debated [45][46][47][48]. Although the authors of these works have given some bounds on the values of the torsion parameters, based on the known error bars from the most recent ephemerides, it is still premature to draw any firm conclusion on the need of modified theories of gravity to explain the data.…”

Section: Introductionmentioning

confidence: 99%

Autoparallel vs. Geodesic Trajectories in a Model of Torsion Gravity

Acedo

2015

Universe

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We consider a parametrized torsion gravity model for Riemann-Cartan geometry around a rotating axisymmetric massive body. In this model, the source of torsion is given by a circulating vector potential following the celestial parallels around the rotating object. Ours is a variant of the Mao, Tegmark, Guth and Cabi (MTGC model) in which the total angular momentum is proposed as a source of torsion. We study the motion of bodies around the rotating object in terms of autoparallel trajectories and determine the leading perturbations of the orbital elements by using standard celestial mechanics techniques. We find that this torsion model implies new gravitational physical consequences in the Solar system and, in particular, secular variations of the semi-major axis of the planetary orbits. Perturbations on the longitude of the ascending node and the perihelion of the planets are already under discussion in the astronomical community, and if confirmed as truly non-zero effects at a statistically significant level, we might be at the dawn of an era of torsion phenomenology in the Solar system.

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“…Other tests of the gravitomagnetic field of the Earth have been performed in the last twenty years, and are still ongoing, with the geodetic satellites of the LAGEOS type whose Lense-Thirring orbital precessions have been measured with the satellite laser ranging (SLR) technique with increasing accuracy over the years (Ciufolini et al 2012a, 2013, Ciufolini et al 2010, Ciufolini et al 2016. Nonetheless, some aspects of them have been criticized in the literature so far, and their accuracies is the subject of a lingering debate (Ciufolini et al 2009, Ciufolini et al 2012b, Iorio et al 2011, Iorio 2011b, Iorio 2017, Renzetti 2012, Renzetti 2013a, 2013b, Renzetti 2014b, Renzetti 2015. For further planned and ongoing SLR-based investigations of the Lense-Thirring effect with the LAGEOS type satellites within the LARASE program, see Lucchesi et al (2015), Visco andLucchesi (2016, 2018) and Pucacco and Lucchesi (2018).…”

Section: Introductionmentioning

confidence: 99%

Measuring general relativistic dragging effects in the Earth’s gravitational field with ELXIS: a proposal

Iorio

2019

Class. Quantum Grav.

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In a geocentric kinematically rotating ecliptical coordinate system in geodesic motion through the deformed spacetime of the Sun, both the longitude of the ascending node Ω and the inclination I of an artificial satellite of the spinning Earth are affected by the post-Newtonian gravitoelectric De Sitter and gravitomagnetic Lense-Thirring effects. By choosing a circular orbit with I = Ω = 90 deg for a potential new spacecraft, which we propose to name ELXIS, it would be possible to measure each of the gravitomagnetic precessions separately at a percent level, or, perhaps, even better depending on the level of accuracy of the current and future global ocean tide models since the competing classical long-term perturbations on I, Ω due to the even and odd zonal harmonics J ℓ , ℓ = 2, 3, 4, . . . of the geopotential ideally vanish. Moreover, a suitable linear combination of I, Ω would be able to cancel out the solid and ocean tidal perturbations induced by the K 1 tide and, at the same time, enforce the geodetic precessions yielding a secular trend of −8.3 milliarcseconds per year, thus strengthening the goal of a ≃ 10 −5 test of the De Sitter effect recently proposed in the literature in the case of an equatorial coordinate system. Relatively mild departures ∆I = ∆Ω ≃ 0.01 − 0.1 deg from the ideal orbital configuration with I = Ω = 90 deg are allowed. Present-day levels of relative accuracy in testing the geodetic and the gravitomagnetic effects in the field of the Sun and the Earth, respectively, are 6.4 × 10 −3 (Lunar Laser Ranging) and 3 × 10 −3 (Gravity Probe B) for the De Sitter precessions, and 1.9 × 10 −1 for the Pugh-Schiff rates of change of gyroscopes (Gravity Probe B). Other tests of the Lense-Thirring effect with the LAGEOS type satellites are ongoing in the field of the Earth; their overall accuracy is currently debated.

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On Monte Carlo simulations of the LAser RElativity Satellite experiment

Cited by 12 publications

References 72 publications

The impact of the orbital decay of the LAGEOS satellites on the frame-dragging tests

The impact of the orbital decay of the LAGEOS satellites on the frame-dragging tests

Autoparallel vs. Geodesic Trajectories in a Model of Torsion Gravity

Measuring general relativistic dragging effects in the Earth’s gravitational field with ELXIS: a proposal

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