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Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

The planetary restricted three-body problem (RTBP) is considered. The primary mass M is much more than another masses mj, i=1..N, which revolve around M. The massless probe particle m moves on elliptic orbit, is perturbed by mj. It is well…

Dynamical Systems · Mathematics 2007-05-23 A. E. Rosaev

We study oscillations of slowly rotating relativistic barotropic as well as non-barotropic polytropic stars in the Cowling approximation, including first order rotational corrections. By taking into account the coupling between the polar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Johannes Ruoff , Adamantios Stavridis , Kostas D. Kokkotas

Near the corotation resonance of a transient spiral arm, stellar orbital angular momenta may be changed without inducing significant kinematic heating, resulting in what has come to be known as radial migration. When radial migration is…

Astrophysics of Galaxies · Physics 2014-12-22 Kathryne J. Daniel , Rosemary F. G. Wyse

A method which we have developed for determining corotation radii, has allowed us to map in detail the radial resonant structures of barred spiral galaxies. Here we have combined this information with new determinations of the bar strength…

Astrophysics of Galaxies · Physics 2019-01-23 Joan Font , John E. Beckman , Phil A. James , Panos A. Patsis

In the framework of the planar restricted three body problem we study a considerable number of resonances associated to the Kuiper Belt dynamics and located between 30 and 48 a.u. Our study is based on the computation of resonant periodic…

Astrophysics · Physics 2015-06-24 George Voyatzis , Thomas Kotoulas

For linear electromagnetic systems possessing time-reversal symmetry, we present an approach to bound ratios of internal fields excited from different ports, using only the scattering matrix (S matrix), improving upon previous related…

Optics · Physics 2025-06-24 Wenchao Ma , Raphaël Pestourie , Steven G. Johnson

We study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and arbitrary coupling strength between…

chao-dyn · Physics 2015-06-24 N. Lehmann , D. V. Savin , V. V. Sokolov , H. -J. Sommers

One of the main properties of galactic bars is their rotation (or pattern) speed, which is driven by both internal galactic properties, as well as external interactions. To assess the influence of these internal and external drivers on bar…

Astrophysics of Galaxies · Physics 2026-01-30 Alex Merrow , Francesca Fragkoudi , Rob J. J. Grand , Marie Martig

Banded energy distributions of H$^{+}$, O$^{++}$, S$^{+++}$, and O$^+$ or S$^{++}$ ions between 100 eV to ~20 keV are consistently observed in Jupiter's magnetosphere mapping to M-shells between M=10-20. The bands correspond to flux…

We evaluate the time delay in some of the established resonance regions of $\pi N$ elastic scattering. In addition to the positive peaks corresponding to resonances, we identify broad regions of negative time delay or time advancement which…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Kelkar

We investigate the nature of so-called low $T/W$ dynamical instability in a differentially rotating star by focusing on the role played by the corotation radius of the unstable oscillation modes. An one dimensional model of linear…

High Energy Astrophysical Phenomena · Physics 2017-01-18 Shin'ichirou Yoshida , Motoyuki Saijo

Athanassoula (2014) has claimed that measurements of the ratio of corotation radius to bar length in galaxies do not place a constraint on the disk to halo mass ratio. Her conclusion was based on a series of simulations published by…

Astrophysics of Galaxies · Physics 2014-10-06 J. A. Sellwood , Victor P. Debattista

We study the limitations for defining spatial and temporal intervals when the only available reference frame is a single composite quantum system, whose internal degrees of freedom serve as a temporal reference, a clock, and whose center of…

Quantum Physics · Physics 2026-01-27 Davide Mattei , Esteban Castro-Ruiz

We determine the torque exerted in a steady state by an external potential on a three-dimensional gaseous disk at a non-coorbital corotation resonance. Our model accounts for the feedback of the torque on the surface density and vorticity…

Astrophysics · Physics 2009-11-07 G. I. Ogilvie , S. H. Lubow

We use a simple dynamical model which consists of a harmonic oscillator and a spherical component, in order to investigate the regular or chaotic character of orbits in a barred galaxy with a central spherically symmetric nucleus. Our aim…

Astrophysics of Galaxies · Physics 2016-04-14 Euaggelos E. Zotos , Nicolaos D. Caranicolas

Although nuclear rings of gas and star formation are common in barred spiral galaxies, current theories of why and how they form do not provide the level of detail needed to quantify the effect that these rings can have on the fueling of…

Astrophysics · Physics 2009-11-07 Michael W. Regan , Peter J. Teuben

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

Our spacetime is filled with gravitational wave backgrounds that constitute a fluctuating environment created by astrophysical and cosmological sources. Bounds on these backgrounds are obtained from cosmological and astrophysical data but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Serge Reynaud , Brahim Lamine , Loic Duchayne , Peter Wolf , Marc-Thierry Jaekel

The Galactic disk exhibits complex chemical and dynamical substructure thought to be induced by the bar, spiral arms, and satellites. Here, we explore the chemical signatures of bar resonances in action and velocity space and characterize…

Astrophysics of Galaxies · Physics 2022-08-11 Adam Wheeler , Irene Abril-Cabezas , Wilma H. Trick , Francesca Fragkoudi , Melissa Ness
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