Gravitomagnetic time-varying effects on the motion of a test particle

Ruggiero, Matteo Luca; Iorio, Lorenzo

doi:10.1007/s10714-010-0987-3

Cited by 7 publications

(5 citation statements)

References 15 publications

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“…Proposals and ideas to measure the gravitomagnetic effects in the Solar System by accurate determination of the orbits of planets and satellites were considered in various works: for instance, Iorio and Ruggiero [116] focused on Kerr-de Sitter solution, also to put constraint on the cosmological constant. Starting from the work by Bini et al [48], subsequent studies [117,118] focused on the possibility to measure induction effects (due to a time-dependence of the gravitomagnetic field) on the motion of test particles. The analysis of the orbital plane of the Mars Global Surveyor (MGS) spacecraft suggested a possible evidence of the gravitomagnetic field of Mars [119], which raised a subsequent debate [120]; other gravitomagnetic effects modelled as perturbation of the dynamics of binary system were also considered by Iorio [121,122].…”

Section: Solar System Testsmentioning

confidence: 99%

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Ruggiero,

Astesiano

2023

J. Phys. Commun.

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Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they are often used to explain peculiar effects of Einstein's theory of gravity in terms of familiar results from classical electromagnetism. Perhaps, the best known of these analogy pertains to the similarity between the equations of electromagnetism and those of the linearized theory of General Relativity. But the analogy is somewhat deeper and ultimately rooted in the splitting of spacetime, which is preliminary to the definition of the measurement process in General Relativity.In this paper we review the various approaches that lead to the introduction of a magnetic-like part of the gravitational interaction, briefly called \textit{gravitomagnetic} and, then, we provide a survey of the recent developments both from the theoretical and experimental viewpoints.

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Section: Solar System Testsmentioning

confidence: 99%

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Ruggiero,

Astesiano

2023

J. Phys. Commun.

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“…(24) and (25) extend and generalize the results obtained in the literature. Indeed, in [12,17], only the length S of the primary's angular momentum S, aligned constantly along the reference z axis, was assumed time-dependent according to a particular law. Moreover, the loweccentricity approximation was used for the orbital configuration of the test particle.…”

Section: Calculation Of the Orbital Effectsmentioning

confidence: 99%

Orbital effects due to gravitational induction

Bini¹,

Iorio²,

Giordano³

2015

Gen Relativ Gravit

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We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special attention is paid to gravitational inductive effects due to time-varying gravitomagnetic fields. We show that, within the limits of the approximation mentioned above, there are cumulative effects on the orbit of the particles either for planetary sources or for binary systems. They turn out to be negligible.

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“…Instantaneous action at a distance is not needed. Time dependent frame dragging effects have recently been investigated by Ruggiero and Iorio [11].…”

Section: Einstein De Sitter and The Relativity Of Rotationmentioning

confidence: 99%

The twin paradox and the principle of relativity

Grøn

2013

Phys. Scr.

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In the standard formulation of the twin paradox an "accelerated" twin considers himself as at rest and his brother as moving. Hence, when formulating the twin paradox, one uses the general principle of relativity, i.e. that accelerated and rotational motion is relative. The significance of perfect inertial dragging for the validity of the principle of relativity is made clear. Three new results are reviewed in the discussion: 1. A cosmic time effect which cannot be reduced to the gravitational or the kinematical time dilation; 2. Perfect dragging in an exact solution of Einstein's field equations describing flat spacetime inside a shell with Kerr spacetime outside it; 3. An extended model of Minkowski spacetime in order to avoid introducing absolute acceleration and rotation through the asymptotic emptiness of the Kerr spacetime.

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Gravitomagnetic time-varying effects on the motion of a test particle

Cited by 7 publications

References 15 publications

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Orbital effects due to gravitational induction

The twin paradox and the principle of relativity

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