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When dealing with satellites orbiting a central body on a highly elliptical orbit, it is necessary to consider the effect of gravitational perturbations due to external bodies. Indeed, these perturbations can become very important as soon…

Earth and Planetary Astrophysics · Physics 2016-05-26 Guillaume Lion , Gilles Métris , Florent Deleflie

Recent work in the literature has shown that the one-loop long distance quantum corrections to the Newtonian potential imply tiny but observable effects in the restricted three-body problem of celestial mechanics, i.e., at the Lagrangian…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Emmanuele Battista , Simone Dell'Agnello , Giampiero Esposito , Jules Simo

This paper considers general relativistic (GR) effects in currently observed extrasolar planetary systems. Although GR corrections are small, they can compete with secular interactions in these systems and thereby play an important role.…

Astrophysics · Physics 2008-11-26 Fred C. Adams , Gregory Laughlin

We study the collapse of an isolated, initially cold, irregular (but almost spherical) and (slightly) inhomogeneous cloud of self-gravitating particles. The cloud is driven towards a virialized quasi-equilibrium state by a fast relaxation…

Astrophysics of Galaxies · Physics 2017-02-08 David Benhaiem , Francesco Sylos Labini

We consider the backreaction of the vacuum polarization effect for a massive charged scalar field in the presence of a singular magnetic massless string on the background metric. Using semiclassical approach, we find the first-order (in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Volodymyr M. Gorkavenko , Alexander V. Viznyuk

Gravitational waves are predicted by Einstein's theory of general relativity as well as other theories of gravity. The rotational stability of the fastest pulsars means that timing of an array of these objects can be used to detect and…

Solar and Stellar Astrophysics · Physics 2015-05-28 J. Ellis , M. A. McLaughlin , J. P. W. Verbiest

To the first post-Newtonian order, the gravitational action of mass-energy currents is encoded by the off-diagonal gravitomagnetic components of the spacetime metric tensor. If they are time-dependent, a further acceleration enters the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Lorenzo Iorio

We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Saeed Mirshekari , Clifford M. Will

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

In modified gravity theories, the gravitational waves propagation are presented in nonstandard ways. We consider a friction term different from GR and constrain the modified gravitational waves propagation from observations. The modified…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-12 Jun Li

We have carried out a numerical investigation of the coupled gravitational and non-gravitational perturbations acting on Earth satellite orbits in an extensive grid, covering the whole circumterrestrial space, using an appropriately…

Earth and Planetary Astrophysics · Physics 2019-04-12 Aaron J. Rosengren , Despoina K. Skoulidou , Kleomenis Tsiganis , George Voyatzis

A rotating star's oblateness creates a deformation in the gravitational field outside the star, which is measured by the quadrupole-moment tensor. We consider the effect of the quadrupole moment on the orbital motion and rate of inspiral of…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Eric Poisson

Accurate modeling of gravitational interactions is fundamental to the analysis, prediction, and control of space systems. While the Newtonian point-mass approximation suffices for many preliminary studies, real celestial bodies exhibit…

Earth and Planetary Astrophysics · Physics 2026-01-27 Felipe Arenas-Uribe

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 David Trestini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Laura Bernard , Luc Blanchet , David Trestini

Under the assumptions of General Relativity (GR), gravitational waves propagate at the speed of light and their mediation can be represented as a particle through a massless graviton. We investigate the impact and observability of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-24 Margaret Johnston , Marios Kalomenopoulos , Carl-Johan Haster

Accurate orbit modeling plays a key role in contemporary and future space missions such as GRACE and its successor GRACE-FO, GNSS, and altimetry missions. To fully exploit the technological capabilities and correctly interpret measurements,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Florian Wöske , Liliane Biskupek , Eva Hackmann , Enrico Mai , Meike List , Claus Lämmerzahl , Benny Rievers

In this paper, we investigate gravitational waves beyond the linear approximation, focusing on second-order contributions sourced by linearized waves in the transverse-traceless (TT) gauge. A general spacetime metric is constructed, and…

General Relativity and Quantum Cosmology · Physics 2025-05-06 M. A. Misyura

We study the effect of a cosmological constant $\Lambda$ on the propagation and detection of gravitational waves. To this purpose we investigate the linearised Einstein's equations with terms up to linear order in $\Lambda$ in a de Sitter…

Astrophysics · Physics 2009-02-26 J. Näf , P. Jetzer , M. Sereno
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