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Related papers: Parametrized Post-Newtonian Orbital Effects in Ext…

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The distinction between the mean anomaly $\mathcal{M}(t)$ and the mean anomaly at epoch $\eta$, and the mean longitude $l(t)$ and the mean longitude at epoch $\epsilon$ is clarified in the context of a possible use of such orbital elements…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Lorenzo Iorio

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

In this paper we compare the effects of different theories of gravitation on the apsidal motion of a sample of Eccentric Eclipsing Detached Binary stars. The comparison is performed by using the formalism of the Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Mariafelicia De Laurentis , Rosario De Rosa , Fabio Garufi , Leopoldo Milano

We consider dynamical effects of additional perturbative forces due to the non-point mass nature of stars and planets: effects such as quadrupolar distortion and tidal friction in the systems of exo-planets. It is shown that these forces…

Astrophysics · Physics 2009-11-06 L. Kiseleva-Eggleton , E. Bois

In this paper, we present extensively the observational consequences of massless dilaton theories at the post-Newtonian level. We extend previous work by considering a general model including a dilaton-Ricci coupling as well as a general…

General Relativity and Quantum Cosmology · Physics 2015-12-17 A. Hees , O. Minazzoli

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

Observations of astrophysical binaries may reveal departures from pure Keplerian orbits due to environmental influences, modifications to the underlying gravitational dynamics, or signatures of new physics. In this work, we develop a…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Rajes Ghosh , R. Prasad , Kabir Chakravarti , Prayush Kumar

In this article we calculate the post-Newtonian limit of a general class of scalar-nonmetricity theories of gravity. The action is assumed to be a free function of the nonmetricity scalar, the kinetic term of the scalar field, two…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Kai Flathmann , Manuel Hohmann

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

It is shown in this study that deviations from the Einstein-Hilbert action at the quadratic level using a proper analyses and suitable dynamical variables lead to a tiny modification to the post-Newtonian equations of motion, and…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Soham Bhattacharyya

At the second post-Newtonian (2PN) order, the secular pericentre precession $\dot\omega^\mathrm{2PN}$ of either a full two-body system made of well detached non-rotating monopole masses of comparable size and a restricted two-body system…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Lorenzo Iorio

The post-Newtonian (PN) perturbative framework has been successful in understanding the slow-motion, weak field limit of Einstein's theory of gravity on solar system scales, and for isolated astrophysical systems. The parameterized…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Viraj A. A. Sanghai

We analytically and numerically investigate the long-term, i.e. averaged over one full revolution, orbital effects of the non-isotropic percent mass loss \dot m/m experienced by several transiting hot Jupiters whose atmospheres are hit by…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Lorenzo Iorio

In the post-Newtonian (PN) expansion, we extend the determination of quasicircular orbital parameters to be used by subsequent full numerical simulations to the 3.5PN order, and find that this leads to lower eccentricities, $e$, than with…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Alessandro Ciarfella , James Healy , Carlos O. Lousto , Hiroyuki Nakano

We apply the Lagrangian method to study the post-Newtonian evolution of a compact binary system with environmental effects, including a dark matter spike, and obtain the resulting gravitational wave emission. This formalism allows one to…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Diego Montalvo , Adam Smith-Orlik , Saeed Rastgoo , Laura Sagunski , Niklas Becker , Hazkeel Khan

To the first post-Newtonian order, if two test particles revolve in opposite directions about a massive, spinning body along two circular and equatorial orbits with the same radius, they take different times to return to the reference…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Lorenzo Iorio

The present paper studies the post-Newtonian dynamics of N bodies in general relativity. We derive covariant equations of translational and rotational motion of N extended bodies having arbitrary distribution of mass and velocity of matter…

General Relativity and Quantum Cosmology · Physics 2019-02-19 Sergei M. Kopeikin

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Francesco Fucito , Jose Francisco Morales

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth
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