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Newtonian point mass binaries can be brought into arbitrarily close circular orbits. Neutron stars and black holes, however, are extended, relativistic objects. Both finite size and relativistic effects make very close orbits unstable, so…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thomas W. Baumgarte

We examine the evolution, under gravitational radiation reaction, of slightly eccentric equatorial orbits of point particles around Kerr black holes. Our method involves numerical integration of the Sasaki-Nakamura equation. It is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daniel Kennefick

In a recent work, [Phys. Rev. D. 94, 104010 (2016)], hereafter Paper I, we have numerically studied different prescriptions for the dynamics of a spinning particle in circular motion around a Schwarzschild black hole. In the present work,…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Georgios Lukes-Gerakopoulos , Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar

We study circular orbits that are tilted with respect to the equatorial plane around a Kerr black hole. We write the equations for the parameters of a tilted circular orbit in terms of the orbit's radius and the Carter constant, or…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Abdallah M. Al Zahrani

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

The motion of a spinning particle in the exterior of a Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation, including the spin-curvature coupling to leading…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Yi-Ping Chen , Tien Hsieh , Da-Shin Lee

We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Wen-Biao Han , Shu-Cheng Yang

We present a complete characterization of stable, off-equatorial circular orbits around magnetically charged black holes (MBHs). For a static, spherically symmetric MBH, we derive an exact analytic expression for the orbital latitude theta…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Xilai Li , Loris Del Grosso , David E. Kaplan

In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Jorge G. Russo

In this paper we study the effective gravitational potential of Schwarzschild, Kerr, Reissner-Nordstr\"om and Kerr-Newman black holes with the relativistic corrections to evaluate the circular orbits and the Innermost Stable Circular Orbits…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Eahsaan Nazir Najar , Raja Nisar Ali , Yasmeena Mushtaq , Imtiyaz Ahmad Bhat

We derive a necessary condition for the existence of marginally stable circular orbits of test particles in stationary axisymmetric spacetimes which possess a refection symmetry with respect to the equatorial plane; photon orbits are also…

General Relativity and Quantum Cosmology · Physics 2016-08-08 Shabnam Beheshti , Edgar Gasperin

The inner boundary of a black hole accretion disk is often set to the marginally stable circular orbit (or the innermost stable circular orbit, ISCO) around the black hole. It is important for the theories of black hole accretion disks and…

High Energy Astrophysical Phenomena · Physics 2016-06-10 Lei Qian , Xue-Bing Wu , Li-Xin Li

We investigate the motion of massive charged and spinning test particles around a charged dyonic black hole spacetime surrounded by perfect fluid scalar dark matter field. We obtain the equations of motion and find the expressions for the…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Sanjar Shaymatov , Pankaj Sheoran , Sanjay Siwach

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Marc Favata

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

We study analytically a black-hole-ring system which is composed of a stationary axisymmetric ring of particles in orbit around a perturbed Kerr black hole of mass $M$. In particular, we calculate the shift in the orbital frequency of the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

We consider the behavior of the innermost stable circular orbit (ISCO) in the magnetic field near "dirty" (surrounded by matter) axially-symmetric black holes. The cases of near-extremal, extremal and nonextremal black holes are analyzed.…

General Relativity and Quantum Cosmology · Physics 2015-09-08 O. B. Zaslavskii

We study the bound orbit conditions for equatorial and eccentric orbits around a Kerr black hole both in the parameter space ($E$, $L$, $a$) representing the energy, angular momentum of the test particle, and spin of the black hole, and…

High Energy Astrophysical Phenomena · Physics 2022-12-07 Prerna Rana , A. Mangalam

We examine the dynamics of a neutral particle around a Kerr-Newman black hole, and in particular focus on the effects of the charge of the spinning black hole on the motion of the particle. We first consider the innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Chen-Yu Liu , Da-Shin Lee , Chi-Yong Lin

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook