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The case of the planar circular restricted three-body problem is used as a test field in order to determine the character of the orbits of a small body which moves under the gravitational influence of the two heavy primary bodies. We…

Space Physics · Physics 2017-09-28 Euaggelos E. Zotos

Hierarchical three-body systems offer a compelling framework to explore the subtle interplay between Newtonian and relativistic gravitational effects in astrophysical environments. In this work, we investigate post-Newtonian corrections to…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Pietro Farina , Mariafelicia De Laurentis , Hideki Asada , Ivan De Martino , Riccardo Della Monica

Tipping behavior can occur when an equilibrium of a dynamical system loses stability in response to a slowly varying parameter crossing a bifurcation threshold, or where noise drives a system from one attractor to another, or some…

Chaotic Dynamics · Physics 2026-01-26 Raphael Römer , Peter Ashwin

We compute the Gaseous Dynamical Friction (GDF) force experienced by massive perturbers on elliptical Keplerian orbits. In this paper, we investigate the density wake morphology, dynamical friction force, and secular orbital evolution for…

High Energy Astrophysical Phenomena · Physics 2024-01-30 David O'Neill , Daniel J. D'Orazio , Johan Samsing , Martin E. Pessah

The dynamics of a rigid, rotating, precessing, massive ring orbiting a point mass within the perimeter of the ring are considered. It is demonstrated that orbits dynamically stable against perturbations in three dimensions exist for a range…

Classical Physics · Physics 2014-12-08 Edward D. Rippert

Dynamical friction is a fundamental and important phenomenon in astrophysics. The Chandrasekhar formula is a well-known analytical estimation of the effect. However, current astrophysicists have realized that the formula is not correct in…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Shigeki Inoue

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Filippo Camilloni , Gianluca Grignani , Troels Harmark , Roberto Oliveri , Marta Orselli , Daniele Pica

We consider the evolution of a system containing a population of massive planets formed rapidly through a fragmentation process occurring on a scale on the order of 100 au and a lower mass planet that assembles in a disc on a much longer…

Astrophysics · Physics 2009-11-07 Caroline Terquem , John C. B. Papaloizou

Massive compact objects soften binaries. This process has been used for decades to constrain the population of such objects, particularly as a component of dark matter (DM). The effects of light compact objects, such as those in the…

High Energy Physics - Phenomenology · Physics 2026-02-23 Badal Bhalla , Benjamin V. Lehmann , Kuver Sinha , Tao Xu

In this paper we study the formation, evolution and disruption of hierarchical systems in open clusters. With this purpose, N-body simulations of star clusters containing an initial population of binaries have been carried out using…

Astrophysics · Physics 2016-01-27 R. de la Fuente Marcos , S. J. Aarseth , L. G. Kiseleva , P. P. Eggleton

We extend the formalism of a previous paper to include the effects of flybys and instantaneous perturbations such as supernovae on the long-term secular evolution of hierarchical multiple systems with an arbitrary number of bodies and…

Solar and Stellar Astrophysics · Physics 2018-03-14 Adrian S. Hamers

Orbital motions in four hierarchical stellar systems discovered by speckle interferometry are studied. Their inner orbits are relatively well constrained, while the long outer orbits are less certain. The eccentric and misaligned inner…

Solar and Stellar Astrophysics · Physics 2023-04-05 Andrei Tokovinin

When a stellar binary encounters a spinning black hole, interesting phenomena might result due to the mutual interaction between the binary spin, orbital angular momentum and the black hole spin. Here we consider such encounters between an…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Aryabrat Mahapatra , Adarsh Pandey , Pritam Banerjee , Tapobrata Sarkar

We investigate the impact of repulsive self-interaction in ultralight dark matter (ULDM) on dynamical friction in circular orbits in ULDM halos and its implications for the Fornax dwarf spheroidal (dSph) galaxy's globular clusters. Using…

Astrophysics of Galaxies · Physics 2025-10-21 Hyeonmo Koo , Jae-Weon Lee

Multi-system interaction is an important and difficult problem in physics. Motivated by the experimental result of an electronic circuit element "Fractor", we introduce the concept of dynamic-order fractional dynamic system, in which the…

Mathematical Physics · Physics 2013-04-10 HongGuang Sun , Hu Sheng , YangQuan Chen , Wen Chen , ZhongBo Yu

The spiking properties of a subcritical Hopf oscillator with a time delayed nonlinear feedback is investigated. Finite time delay is found to significantly affect both the statistics and the fine structure of the spiking behavior. These…

Chaotic Dynamics · Physics 2009-11-11 Gautam C Sethia , Abhijit Sen

Rotation contributes to internal mixing processes and observed variability in massive stars. A significant number of binary stars are not in strict synchronous rotation, including all eccentric systems. This leads to a tidally induced and…

Solar and Stellar Astrophysics · Physics 2021-09-29 Gloria Koenigsberger , Edmundo Moreno , Norbert Langer

The radial-orbit instability is a collective phenomenon that has heretofore only been observed in spherical systems. We find that this instability occurs also in triaxial systems, as we checked by performing extensive N-body simulations…

Astrophysics · Physics 2011-08-31 Fabio Antonini , Roberto Capuzzo-Dolcetta , David Merritt

Orbital period changes of binary stars may be caused by the presence of a third massive body in the system. Here we have searched the archive of the Wide Angle Search for Planets (SuperWASP) project for evidence of period variations in…

Solar and Stellar Astrophysics · Physics 2015-06-24 M. E. Lohr , A. J. Norton , S. G. Payne , R. G. West , P. J. Wheatley

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano
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