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Related papers: Orbital Dynamics with the Gravitational Perturbati…

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We present fully general-relativistic numerical evolutions of self-gravitating tori around spinning black holes with dimensionless spin $a/M = 0.7$ parallel or anti-parallel to the disk angular momentum. The initial disks are unstable to…

High Energy Astrophysical Phenomena · Physics 2021-03-03 Erik Wessel , Vasileios Paschalidis , Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

With n-body simulations and analytic approximations we study the dynamics and stability of low eccentricity misaligned test particles around binary systems with varying mass fraction and eccentricity. General relativity (GR) plays a primary…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Gonzalo C. de Elía , Macarena Zanardi , Rebecca G. Martin

We present and validate a novel semi-analytical approach to study the effect of dynamical friction on the orbits of massive perturbers in rotating stellar discs. We find that dynamical friction efficiently circularises the orbit of…

Astrophysics of Galaxies · Physics 2020-04-22 Matteo Bonetti , Elisa Bortolas , Alessandro Lupi , Massimo Dotti , Sandra I. Raimundo

We explore the evolution of a giant planet that interacts with a circumbinary disc that orbits a misaligned binary by means of analytic models and hydrodynamical simulations. Planet-disc interactions lead to mutual tilt oscillations between…

Earth and Planetary Astrophysics · Physics 2025-07-10 Rebecca G. Martin , Stephen H. Lubow

We show that a standard Shakura-Sunyaev accretion disc around a black hole with an accretion rate lower than the critical Eddington limit does show the instability in the radiation pressure dominated zone. We obtain this result performing…

Astrophysics · Physics 2009-11-10 V. Teresi , D. Molteni , E. Toscano

While numerous planetary and asteroid satellites show evidence for non-trivial rotation states, none are as emblematic as Hyperion, which has long been held as the most striking example of chaotic spin-orbit evolution in the Solar System.…

Earth and Planetary Astrophysics · Physics 2024-10-28 Max Goldberg , Konstantin Batygin

The secular approximation for the evolution of hierarchical triple configurations has proven to be very useful in many astrophysical contexts, from planetary to triple-star systems. In this approximation the orbits may change shape and…

Earth and Planetary Astrophysics · Physics 2015-05-28 Smadar Naoz , Will M. Farr , Yoram Lithwick , Frederic A. Rasio , Jean Teyssandier

We perform general relativistic simulations of self-gravitating black hole-disks in which the spin of the black hole is significantly tilted ($45^\circ$ and $90^\circ$) with respect to the angular momentum of the disk and the disk-to-black…

High Energy Astrophysical Phenomena · Physics 2022-11-16 Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Vasileios Paschalidis

We analytically calculate the marginally stable surface density profile for rotational instability of protoplanetary disks. The derived profile can be utilized for considering the region in a rotating disk where radial pressure gradient…

Earth and Planetary Astrophysics · Physics 2014-07-11 Tomohiro Ono , Hideko Nomura , Taku Takeuchi

We present a modal analysis of instabilities of counter-rotating, self-gravitating collisionless stellar discs, using the recently introduced modified WKB formulation of spiral density waves for collisionless systems (Gulati \& Saini). The…

Astrophysics of Galaxies · Physics 2017-01-11 Mamta Gulati , Tarun Deep Saini

Although quasi-Keplerian discs are among the most common astrophysical structures, computation of secular angular momentum transport within them routinely presents a considerable practical challenge. In this work, we investigate the secular…

Earth and Planetary Astrophysics · Physics 2021-02-17 Walker Melton , Konstantin Batygin

We analyse the secular effects of a long-lived Galactic spiral structure on the stellar orbits with mean radii close to the corotation resonance. By test-particle simulations and different spiral potential models with parameters constrained…

Astrophysics of Galaxies · Physics 2015-06-16 Douglas A. Barros , Jacques R. D. Lépine , Thiago C. Junqueira

We use perturbation theory and bifurcation theory to analyze the dynamical behavior of resonances, associated to a model describing a particle moving within a ring around a celestial object. The central body is modeled as a homogeneous…

Mathematical Physics · Physics 2025-07-22 Alessandra Celletti , Irene De Blasi , Sara Di Ruzza

Many protostellar gapped and binary discs show misalignments between their inner and outer discs; in some cases, $\sim70$ degree misalignments have been observed. Here we show that these misalignments can be generated through a "secular…

Solar and Stellar Astrophysics · Physics 2017-06-21 James E. Owen , Dong Lai

Mean motion resonances are commonly seen in planetary systems, e.g., in the formation of orbital structure of Jupiter's moons and the gaps in the rings of Saturn. In this work we study their effects in fully relativistic systems. We…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Huan Yang , Béatrice Bonga , Zhipeng Peng , Gongjie Li

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

Gravitational waves emitted by inner binaries in hierarchical triple systems are interesting astrophysical candidates for space-based detectors like the Laser Interferometer Space Antenna, LISA. In the presence of a third body, such as a…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Rohit S. Chandramouli , Nicolás Yunes

We consider the three-dimensional bounded motion of a test particle around razor-thin disk configurations, by focusing on the adiabatic invariance of the vertical action associated with disk-crossing orbits. We find that it leads to an…

Astrophysics of Galaxies · Physics 2016-06-22 Ronaldo S. S. Vieira , Javier Ramos-Caro

In this work, we construct and test an analytical and a semianalytical secular models for two planets locked in a coorbital non-coplanar motion, comparing some results with the case of restricted three body problem. The analytical average…

Earth and Planetary Astrophysics · Physics 2016-05-02 Cristian A. Giuppone , Alejandro M. Leiva
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