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The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

Previous work has shown that interactions between a central binary system and a circumbinary disc (CBD) can lead to the binary orbit either shrinking or expanding, depending on the properties of the disc. In this work, we perform…

Earth and Planetary Astrophysics · Physics 2024-01-22 George Turpin , Richard Nelson

We have calculated evolution of neutron star binaries towards the coalescence driven by gravitational radiation. The hydrodynamical effects as well as the general relativistic effects are important in the final phase. All corrections up to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 W. Ogawaguchi , Y. Kojima

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

In this work we derive for the first time the complete gravitational cubic-in-spin effective action at the next-to-leading order in the post-Newtonian (PN) expansion for the interaction of generic compact binaries via the effective field…

High Energy Physics - Theory · Physics 2021-01-15 Michèle Levi , Stavros Mougiakakos , Mariana Vieira

The next-to-next-to-leading order spin-squared interaction potential for generic compact binaries is derived for the first time via the effective field theory for gravitating spinning objects in the post-Newtonian scheme. The spin-squared…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Michèle Levi , Jan Steinhoff

A third post-Newtonian (3 PN) equation of motion for two spherical compact stars in a harmonic coordinate has been derived based on the surface integral approach and the strong field point particle limit. The strong field point particle…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yousuke Itoh

We consider the general spatial three body problem and study the dynamics of planetary systems consisting of a star and two planets which evolve into 2/1 mean motion resonance and into inclined orbits. Our study is focused on the periodic…

Earth and Planetary Astrophysics · Physics 2017-02-10 K. I. Antoniadou , G. Voyatzis

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

Spin-orbit coupling is widespread in binary asteroid systems and it has been widely studied for the case of ellipsoidal secondary. Due to angular momentum exchange, dynamical coupling is stronger when the orbital and rotational angular…

Earth and Planetary Astrophysics · Physics 2024-08-01 Hanlun Lei

Classical Hamiltonian system of a point moving on a sphere of fixed radius is shown to emerge from the constrained evolution of quantum spin. The constrained quantum evolution corresponds to an appropriate coarse-graining of the quantum…

Quantum Physics · Physics 2015-06-04 M. Radonjic , S. Prvanovic , N. Buric

Within the dynamically cold low inclination portion of the Classical Kuiper Belt, there exists a population of weakly bound binary systems with a number of unusual properties; most notable of which is their extremely wide orbital…

Earth and Planetary Astrophysics · Physics 2022-12-28 Hunter M. Campbell , Lukas R. Stone , Nathan A. Kaib

We use post-Newtonian (PN) approximations to determine the initial orbital and spin parameters of black hole binaries that lead to low-eccentricity inspirals when evolved with numerical relativity techniques. In particular, we seek initial…

General Relativity and Quantum Cosmology · Physics 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

This study focuses on the long-term evolution of two bodies in nearby initially coplanar orbits around a central dominant body perturbed by a fourth body on a distant Keplerian orbit. Our previous works that considered this setup enforced…

Astrophysics of Galaxies · Physics 2024-05-17 Myank Singhal , Ladislav Šubr , Jaroslav Haas

We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the…

High Energy Physics - Theory · Physics 2023-12-18 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three new types of terms, namely…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Etienne Racine , Alessandra Buonanno , Lawrence E. Kidder

It is customary to use a precessing convention, based on Newtonian orbital angular momentum ${\bf L}_{\rm N}$, to model inspiral gravitational waves from generic spinning compact binaries. A key feature of such a precessing convention is…

General Relativity and Quantum Cosmology · Physics 2019-09-17 Anuradha Gupta , Achamveedu Gopakumar

A covariant hamiltonian formalism for the dynamics of compact spinning bodies in curved space-time in the test-particle limit is described. The construction allows a large class of hamiltonians accounting for specific properties and…

General Relativity and Quantum Cosmology · Physics 2016-12-21 J. W. van Holten

In a compact binary coalescence, the spins of the compact objects can have a significant effect on the orbital motion and gravitational-wave (GW) emission. For generic spin orientations, the orbital plane precesses, leading to…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Mohammed Khalil , Jan Steinhoff , Justin Vines , Alessandra Buonanno
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