On the Gravitational Effects of Rotating Masses: The Thirring–Lense Papers

Mashhoon, Bahram; Hehl, Friedrich W.; Theiss, Dietmar S.

doi:10.1142/9789812564818_0030

Cited by 33 publications

(38 citation statements)

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“…If only the spin-dipole is kept we recover the well known result of Lense and Thirring (Mashhoon et al (1984)):…”

Section: Argument Of the Ascending Nodesupporting

confidence: 80%

Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments

Meichsner¹,

Söffel²

2015

Celest Mech Dyn Astr

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Perturbations of satellite orbits in the gravitational field of a body with a mass monopole and arbitrary spin multipole moments are considered for an axisymmetric and stationary situation. Periodic and secular effects caused by the central gravitomagnetic field are derived by a first order perturbation theory. For a central spin-dipole field these results reduce to the well known Lense-Thirring effects.

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“…If only the spin-dipole is kept we recover the well known result of Lense and Thirring (Mashhoon et al (1984)):…”

Section: Argument Of the Ascending Nodesupporting

confidence: 80%

Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments

Meichsner¹,

Söffel²

2015

Celest Mech Dyn Astr

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“…These relativistic precessions are, respectively, Einstein (or Schwarzschild) 1 , and Lense-Thirring (LT) 11,12 precessions. These precessions are responsible of long-term and secular effects on two of the three Euler angles that define the orbit orientation in space, namely the argument of pericenter, ω, which is subject to both precessions, and the right ascension of the ascending node, Ω, which is subject to the LenseThirring one.…”

Section: Larase Goals and Gr Relativistic Precessionsmentioning

confidence: 99%

Testing gravitation with satellite laser ranging and the LARASE experiment

Lucchesi¹,

Anselmo²,

Bassan³

et al. 2017

The Fourteenth Marcel Grossmann Meeting

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The International Laser Ranging Service (ILRS) provides range measurements of passive satellites around the Earth through the powerful Satellite Laser Ranging (SLR) technique. These very precise measurements of the distance between an on-ground laser station and a satellite equipped with cube corner retro-reflectors (CCRs) make possible precise tests and measurements in fundamental physics and, in particular, in gravitational physics. The LAGEOS (NASA 1976) and LAGEOS II (NASA/ASI 1992) satellites are outstanding examples of very good test particles because of their very low area-to-mass ratio as well as the high quality of their tracking data and, consequently, of the precise orbit determination (POD) we can obtain after a refined modeling of their orbit. The aim of our research program LARASE (LAser RAnged Satellites Experiment) is to go a step further in testing gravitation in the field of Earth by means of the joint analysis of the orbits of the two LAGEOS satellites together with that of the most recently launched LARES (ASI, 2012) satellite. Therefore, our work falls in the so-called weak field and slow motion (WFSM) limit of Einstein's general relativity (GR) where, in terms of Newtonian physics, relativistic effects appear as two new fields to be added to the classical gravitational field: the gravitoelectric and the gravitomagnetic fields. A fundamental ingredient to reach such a goal is to provide high-quality updated models for the perturbing non-gravitational perturbations (NGP) acting on the surface of these satellites. In fact, regardless of their minimization thanks to a smaller value for the area-to-mass ratio, the subtle and complex to model perturbing effects of the NGP play a crucial role in the POD of the considered satellites, especially in the case of the thermal thrust effects. A large amount of SLR data of LAGEOS and LAGEOS II has been worked out using a set of dedicated models for the satellite dynamics and the related post-fit residuals have been analyzed. A parallel work was performed with LARES, although at a preliminary stage. Our recent work on the orbit modeling and on the data analysis of the orbit of such satellites is presented and discussed.

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“…This is the case, of course, of GR: it was shown by Lense and Thirring [69][70][71][72], that a rotating mass generates a gravitomagnetic field, which, in turn, causes a precession of planetary orbits. In the framework of the linearized weak-field and slow-motion approximation of GR, the gravitomagnetic effects are induced by the off-diagonal components of the space-time metric tensor which are proportional to the components of the matter-energy current density of the source.…”

Section: Relativistic Quasi-parabolic Orbitsmentioning

confidence: 99%

“…According to these effects, orbits remain rather eccentric until the final plunge, and display both extreme relativistic perihelion precession and Lense-Thirring [69,112,113] precession of the orbital plane due to the spin of MBH, as well as orbital decay. In [114], it is illustrated how the measured GW-waveforms can effectively map out the spacetime geometry close to the MBH.…”

Section: Gravitational Waves With Gravitomagnetic Correctionsmentioning

confidence: 99%

The Newtonian and Relativistic Theory of Orbits and the Emission of Gravitational Waves

Laurentis¹

2009

TOAAJ

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This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the post-Newtonian (PN) approximation and the further gravitomagnetic corrections. Finally by a classification of orbits in accordance with the conditions of motion, we calculate the gravitational waves luminosity for different types of stellar encounters and orbits.

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On the Gravitational Effects of Rotating Masses: The Thirring–Lense Papers

Cited by 33 publications

References 0 publications

Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments

Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments

Testing gravitation with satellite laser ranging and the LARASE experiment

The Newtonian and Relativistic Theory of Orbits and the Emission of Gravitational Waves

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