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We present a new computation of the linear tidal interaction of a protoplanetary core with a thin gaseous disc in which it is fully embedded. For the first time a discussion of the orbital evolution of cores with eccentricity (e)…

Astrophysics · Physics 2009-10-31 J. C. B. Papaloizou , J. D. Larwood

We model the inspiral of a compact stellar-mass object into a massive nonrotating black hole including all dissipative and conservative first-order-in-the-mass-ratio effects on the orbital motion. The techniques we develop allow inspirals…

General Relativity and Quantum Cosmology · Physics 2016-03-22 Thomas Osburn , Niels Warburton , Charles R. Evans

We compute relativistic Lindblad torques for circular, equatorial extreme-mass-ratio inspirals (EMRIs) embedded in relativistic thin accretion discs, including spinning black hole configurations. We find that relativistic effects can…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Francisco Duque , Laura Sberna , Andrew Spiers , Rodrigo Vicente

We present a new, fast method for computing the inspiral trajectory and gravitational waves from extreme mass-ratio inspirals that can incorporate all known (and future) self-force results. Using near-identity (averaging) transformations we…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Maarten van de Meent , Niels Warburton

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

We study the tidal interaction between a low-mass companion (e.g., a protoplanet or a black hole) in orbit about a central mass, and the accretion disk within which it is submerged. We present results for a companion on a coplanar orbit…

Earth and Planetary Astrophysics · Physics 2020-01-08 F. J. Sanchez-Salcedo

We develop the first model for extreme mass-ratio inspirals (EMRIs) with misaligned angular momentum and primary spin, and zero eccentricity -- also known as quasi-spherical inspirals -- evolving under the influence of the first-order in…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Philip Lynch , Maarten van de Meent , Niels Warburton

Young planets embedded in their protoplanetary disk interact gravitationally with it leading to energy and angular momentum exchange. This interaction determines the evolution of the planet through changes to the orbital parameters. We…

Astrophysics · Physics 2009-11-13 Paul Cresswell , Gerben Dirksen , Willy Kley , Richard P. Nelson

We model the motion of a small compact object on a nearly circular orbit around a spinning supermassive black hole, which is also interacting with a thin equatorial accretion-disk surrounding the latter, through tools from self-force and…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , Charles F. Gammie , Nicolás Yunes

Gravitational wave (GW) detector LISA will observe near-coalescence extreme mass ratio inspirals (EMRIs), which typically form in galactic central accretion disks. Gas torques on EMRI will alter its GW-driven inspiral trajectory from the…

Astrophysics of Galaxies · Physics 2026-04-24 Mudit Garg , Lucio Mayer , Yinhao Wu , Yacine Ali-Haïmoud , Douglas N. C. Lin

We present the results of high resolution 2D simulations of low mass planets on fixed eccentric orbits embedded in protoplanetary discs. The aim of this study is to determine how the strength of the sustained, non-linear corotation torque…

Earth and Planetary Astrophysics · Physics 2015-06-17 Stephen M. Fendyke , Richard P. Nelson

We calculate the kick generated by an eccentric black hole binary inspiral as it evolves through a resonant orbital configuration where the precession of the system temporarily halts. As a result, the effects of the asymmetric emission of…

General Relativity and Quantum Cosmology · Physics 2014-08-20 Maarten van de Meent

We evaluate the torque acting on a gravitational perturber on a retrograde circular orbit in the midplane of a gaseous disk. We assume that the mass of this satellite is so low it weakly disturbs the disk (type I migration). The perturber…

Astrophysics of Galaxies · Physics 2018-07-04 F. J. Sanchez-Salcedo , R. O. Chametla , A. Santillan

Gravitational coupling between a protoplanetary disc and an embedded eccentric planet is an important, long-standing problem, which has been not yet been conclusively explored. Here we study the torque and associated orbital evolution of an…

Earth and Planetary Astrophysics · Physics 2024-07-31 Callum W. Fairbairn , Roman R. Rafikov

By means of three dimensional, high resolution hydrodynamical simulations we study the orbital evolution of weakly eccentric or inclined low-mass protoplanets embedded in gaseous discs subject to thermal diffusion. We consider both…

Earth and Planetary Astrophysics · Physics 2023-03-15 S. Cornejo , F. S. Masset , R. O. Chametla , S. Fromenteau

We present two methods for integrating forced geodesic equations in the Kerr spacetime, which can accommodate arbitrary forces. As a test case, we compute inspirals under a simple drag force, mimicking the presence of gas. We verify that…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Jonathan R. Gair , Eanna E. Flanagan , Steve Drasco , Tanja Hinderer , Stanislav Babak

We present the first models of extreme-mass-ratio inspirals within the effective-one-body (EOB) formalism, focusing on quasi-circular orbits into non-rotating black holes. We show that the phase difference and (Newtonian normalized)…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , M. Coleman Miller , Yi Pan

We study the evolution of eccentric, equatorial extreme-mass-ratio inspirals (EMRIs) immersed in the accretion disks of active galactic nuclei. We find that single gravitational-wave observations from these systems could provide…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Francisco Duque , Shubham Kejriwal , Laura Sberna , Lorenzo Speri , Jonathan Gair

Using an analytic, static, and spherically symmetric metric for a Schwarzschild black hole immersed in a dark matter (DM) halo with the Hernquist-type profile, we derive analytic expressions for the orbital period and precession of…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Ning Dai , Yungui Gong , Yang Zhao , Tong Jiang
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