Towards a One Percent Measurement of Frame Dragging by Spin with Satellite Laser Ranging to LAGEOS, LAGEOS 2 and LARES and GRACE Gravity Models

Ciufolini, Ignazio; Paolozzi, Antonio; Pavlis, E. C.; Ries, John; Koenig, Rolf; Matzner, Richard A.; Sindoni, Giampiero; Neumayer, H.

doi:10.1007/978-1-4419-1362-3_7

Cited by 7 publications

(25 citation statements)

References 63 publications

(80 reference statements)

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“…In particular, laser ranging to the two LAGEOS and to the LARES satellites has successfully been used to test GR by measuring the impact of the Schwarzschild precession on the motion of the satellites [212][213][214]. It has also been claimed that the impact of the frame-dragging (or Lense-Thirring effect) due to the Earth's spin on the orbital motion of the satellites has been measured [215][216][217][218][219][220] although this claim remains controversial [221][222][223][224][225][226]. Similarly, the LAGEOS/LARES satellites can also be used to search for Lorentz violations.…”

Section: Satellite Laser Ranging (Lageos/lares)mentioning

confidence: 99%

Tests of Lorentz Symmetry in the Gravitational Sector

et al. 2016

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Lorentz symmetry is one of the pillars of both General Relativity and the Standard Model of particle physics. Motivated by ideas about quantum gravity, unification theories and violations of CPT symmetry, a significant effort has been put the last decades into testing Lorentz symmetry. This review focuses on Lorentz symmetry tests performed in the gravitational sector. We briefly review the basics of the pure gravitational sector of the Standard-Model Extension (SME) framework, a formalism developed in order to systematically parametrize hypothetical violations of the Lorentz invariance. Furthermore, we discuss the latest constraints obtained within this formalism including analyses of the following measurements: atomic gravimetry, Lunar Laser Ranging, Very Long Baseline Interferometry, planetary ephemerides, Gravity Probe B, binary pulsars, high energy cosmic rays, . . . In addition, we propose a combined analysis of all these results. We also discuss possible improvements on current analyses and present some sensitivity analyses for future observations.

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Section: Satellite Laser Ranging (Lageos/lares)mentioning

confidence: 99%

Tests of Lorentz Symmetry in the Gravitational Sector

et al. 2016

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“…Soon after, such a result was announced [10] and confirmed independently a few years later [11]. A complete description of the combined analyses is available in [12][13][14]. Our joint conclusion is that the GRACE-based gravity models are indeed accurate enough that the General Relativity prediction of frame-dragging is confirmed with an error of approximately 10%.…”

mentioning

confidence: 66%

The Earth's frame-dragging via laser-ranged satellites: A Response to “Some considerations on the present-day results for the detection of frame-dragging after the final outcome of GP-B” by Iorio L.

Ries

Ciufolini

Pavlis

et al. 2011

EPL

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“…As for the magnitudes, the corresponding linear displacement for a satellite orbiting the Earth is ∼ 10 −6 m, which eliminates any prospect of detecting the effect in the near future. For Jupiter and a white dwarf, this displacement is ∼ 10 −2 m, which is, in principle, on the order of the available precision of a few millimeters [26]. However, the practical prospects are vague, given that there is no Jupiter's gravity model similar to GRACE.…”

Section: Resultsmentioning

confidence: 99%

“…C Parameters of unstable spherical orbits with E > 1 and arbitrary Q Consider conditions (26) and (27) without omitting terms ∝ q ≡ 1/Q:…”

Section: A Numeric Solution Of Geodesic Equationsmentioning

confidence: 99%

The orbital Lense–Thirring precession in a strong field

Strokov

Khlghatyan

2019

Gen Relativ Gravit

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We study the exact evolution of the orbital angular momentum of a massive particle in the gravitational field of a Kerr black hole. We show analytically that, for a wide class of orbits, the angular momentum's hodograph is always close to a circle. This applies to both bounded and unbounded orbits that do not end up in the black hole. Deviations from the circular shape do not exceed ≈ 10% and ≈ 7% for bounded and unbounded orbits, respectively. We also find that nutation provides an accurate approximation for those deviations, which fits the exact curve within ∼ 0.01% for the orbits of maximal deviation. Remarkably, the more the deviation, the better the nutation approximates it. Thus, we demonstrate that the orbital Lense-Thirring precession, originally obtained in the weak-field limit, is also a valid description in the general case of (almost) arbitrary exact orbits. As a by-product, we also derive the parameters of unstable spherical timelike orbits as a function of their radii and arbitrary rotation parameter a and Carter's constant Q. We verify our results numerically for all the kinds of orbits studied.

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Towards a One Percent Measurement of Frame Dragging by Spin with Satellite Laser Ranging to LAGEOS, LAGEOS 2 and LARES and GRACE Gravity Models

Cited by 7 publications

References 63 publications

Tests of Lorentz Symmetry in the Gravitational Sector

Tests of Lorentz Symmetry in the Gravitational Sector

The Earth's frame-dragging via laser-ranged satellites: A Response to “Some considerations on the present-day results for the detection of frame-dragging after the final outcome of GP-B” by Iorio L.

The orbital Lense–Thirring precession in a strong field

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