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We use a secular representation to describe the long-term dynamics of transneptunian objects in mean-motion resonance with Neptune. The model applied is thoroughly described in Saillenfest et al. (2016). The parameter space is…

Earth and Planetary Astrophysics · Physics 2016-11-15 Melaine Saillenfest , Marc Fouchard , Giacomo Tommei , Giovanni B. Valsecchi

Rigid (Uniform) rotation is usually assumed when investigating the properties of mature neutron stars (NSs). Although it simplifies their description, it is an assumption because we cannot observe the NS's innermost parts. Here, we analyze…

High Energy Astrophysical Phenomena · Physics 2024-10-18 Jonas P. Pereira , Tulio Ottoni , Jaziel G. Coelho , Jorge A. Rueda , Rafael C. R. de Lima

The increasing number of extra-solar planets opens a new opportunity for studies of the formation of planetary systems. Resonant systems are of particular interest because their dynamical configuration provides constraints on the…

Earth and Planetary Astrophysics · Physics 2010-12-02 Hanno Rein

It has been estimated that a significant proportion of binary neutron star merger events produce long-lived massive remnants supported by differential rotation and subject to rotational instabilities. To examine formation and oscillation of…

General Relativity and Quantum Cosmology · Physics 2018-10-08 Xuefeng Zhang , Zhoujian Cao

Disk accretion onto a weakly magnetized central object, e.g. a star, is inevitably accompanied by the formation of a boundary layer near the surface, in which matter slows down from the highly supersonic orbital velocity of the disk to the…

Solar and Stellar Astrophysics · Physics 2015-06-05 Mikhail A. Belyaev , Roman R. Rafikov , James M. Stone

The minor planets on orbits that are dynamically stable in Neptune's 1:1 resonance on Gyr timescales were likely emplaced by Neptune's outward migration. We explore the intrinsic libration amplitude, eccentricity, and inclination…

A rapidly rotating and highly magnetized neutron star (NS) could be formed from the explosive phenomena such as superluminous supernovae and gamma-ray bursts. This newborn NS can substantially influence the emission of these explosive…

High Energy Astrophysical Phenomena · Physics 2021-02-10 Shao-Ze Li , Yun-Wei Yu , He Gao , Bing Zhang

There is a complex inclination structure present in the transneptunian object (TNO) orbital distribution in the main classical belt region (between orbital semimajor axes of 39 and 48 au). The long-term gravitational effects of the giant…

Earth and Planetary Astrophysics · Physics 2022-04-13 Yukun Huang , Brett Gladman , Kathryn Volk

This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time domain. Due to the nano-bubble with damping, Minnaert…

Analysis of PDEs · Mathematics 2023-02-03 Bochao Chen , Yixian Gao , Yong Li , Hongyu Liu

We present evidence that recurrent spiral activity, long manifested in simulations of disk galaxies, results from the super-position of a few transient spiral modes. Each mode lasts between 5 and 10 rotations at its corotation radius where…

Astrophysics of Galaxies · Physics 2015-06-19 J. A. Sellwood , R. G. Carlberg

Determining the sound speed $c_s$ in compact stars is an important open question with numerous implications on the behaviour of matter at large densities and hence on gravitational-wave emission from neutron stars. To this scope, we…

High Energy Astrophysical Phenomena · Physics 2022-12-07 Sinan Altiparmak , Christian Ecker , Luciano Rezzolla

Mean motion commensurabilities in multi-planet systems are an expected outcome of protoplanetary disk-driven migration, and their relative dearth in the observational data presents an important challenge to current models of planet…

Earth and Planetary Astrophysics · Physics 2017-03-08 Konstantin Batygin , Fred C. Adams

We describe a method to extract resonant orbits from N-body simulations exploiting the fact that they close in a frame rotating with a constant pattern speed. Our method is applied to the N-body simulation of the Milky Way by Shen et al.…

Astrophysics of Galaxies · Physics 2015-08-06 Matthew Molloy , Martin C. Smith , Juntai Shen , N. W. Evans

We examine the influence of quadrupole moment of a slowly rotating neutron star (NS) on the oscillations of a fluid accretion disk (torus) orbiting a compact object the spacetime around which is described by the Hartle-Thorne geometry.…

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

Unlike the Solar System planets, thousands of smaller bodies beyond Neptune orbit the Sun on eccentric ($e >$ 0.1) and ($i>$ 3$^\circ$) orbits. While migration of the giant planets during the early stages of Solar System evolution can…

Earth and Planetary Astrophysics · Physics 2024-09-06 Susanne Pfalzner , Amith Govind , Simon Portegies Zwart

The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

Disk accretion at high rate onto a white dwarf or a neutron star has been suggested to result in the formation of a spreading layer (SL) - a belt-like structure on the object's surface, in which the accreted matter steadily spreads in the…

Solar and Stellar Astrophysics · Physics 2016-01-27 Alexander A. Philippov , Roman R. Rafikov , James M. Stone

Many extrasolar planetary systems containing multiple super-Earths have been discovered. N-body simulations taking into account standard type-I planetary migration suggest that protoplanets are captured into mean-motion resonant orbits near…

Earth and Planetary Astrophysics · Physics 2015-06-11 Yuji Matsumoto , Makiko Nagasawa , Shigeru Ida

Recently, it has been reported the discovery of a dense ring around the trans-Neptunian object 50000 Quaoar. The ring particles seem to be very close to the 6/1 mean motion resonance with Weywot, the only known satellite in the system. In…

Earth and Planetary Astrophysics · Physics 2023-08-15 Adrián Rodríguez , Bruno Morgado , Nelson Callegari
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