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The standing quasi modes in a cylindrical incompressible flux tube with magnetic twist that undergoes a radial density structuring is considered in ideal magnetohydrodynamics (MHD). The radial structuring is assumed to be a linearly varying…

Solar and Stellar Astrophysics · Physics 2011-05-06 K. Karami , K. Bahari

We explore the past evolution of Saturn's moons using direct numerical integrations. We find that the past Tethys-Dione 3:2 orbital resonance predicted in standard models likely did not occur, implying that the system is less evolved than…

Earth and Planetary Astrophysics · Physics 2016-04-06 Matija Ćuk , Luke Dones , David Nesvorný

We present a time domain waveform model that describes the inspiral-merger-ringdown (IMR) of compact binary systems whose components are non-spinning, and which evolve on orbits with low to moderate eccentricity. The inspiral evolution is…

This paper reviews the rich corpus of observational evidence for tidal effects in short-period binaries. We review the evidence for ellipsoidal variability and for the observational manifestation of apsidal motion in eclipsing binaries.…

Astrophysics · Physics 2009-11-13 Tsevi Mazeh

Because a chaotic zone can reduce the long timescale capture probabilities and cause catastrophic events such as close encounters with a planet or star during temporary capture, the dynamics of migrating planets is likely to be strongly…

Astrophysics · Physics 2007-05-23 A. C. Quillen

The orbital period ratios of neighbouring sub-Neptunes are distributed asymmetrically near first-order resonances. There are deficits of systems---"troughs" in the period ratio histogram---just short of commensurability, and…

Earth and Planetary Astrophysics · Physics 2020-05-27 Nick Choksi , Eugene Chiang

The majority of extrasolar planets discovered to date have significantly eccentric orbits, some if not all of which may have been produced through planetary migration. During this process, any planets interior to such an orbit would…

Earth and Planetary Astrophysics · Physics 2009-12-11 Gareth F. Kennedy , Rosemary A. Mardling

As the second part of our study, in this paper we proceed to explore the dynamics of the high-inclination Twotinos in the 1:2 Neptune mean motion resonance (NMMR). Depending on the inclination $i$, we show the existence of two critical…

Earth and Planetary Astrophysics · Physics 2015-06-18 Jian Li , Li-Yong Zhou , Yi-Sui Sun

We extend our previous work on the evolution of close binary systems with misaligned orbital and spin angular momenta resulting from non-dissipative tidal interaction to include all physical effects contributing to apsidal motion. In…

Solar and Stellar Astrophysics · Physics 2023-09-13 P. B. Ivanov , J. C. B. Papaloizou

Gravitational waveforms capturing binary evolution through the early-inspiral phase play a critical role in extracting orbital features that nearly disappear during the late-inspiral and subsequent merger phase due to radiation reaction…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Pratul Manna , Tamal RoyChowdhury , Chandra Kant Mishra

The Uranian satellite Miranda presents a high inclination (4.338{\deg}) and evidences of resurfacing. It is accepted since 20 years (e.g. Tittemore and Wisdom 1989, Malhotra and Dermott 1990) that this inclination is due to the past…

Earth and Planetary Astrophysics · Physics 2015-06-15 Emilie Verheylewegen , Benoit Noyelles , Anne Lemaitre

The theoretical apsidal motion constants are key tools to investigate the stellar interiors in close eccentric binary systems. In addition, these constants and the moment of inertia are also important to investigate the tidal evolution of…

Solar and Stellar Astrophysics · Physics 2019-08-07 Antonio Claret

Strongly magnetized accreting stars are often hypothesized to be in `spin equilibrium' with their surrounding accretion flows, which requires that the accretion rate changes more slowly than it takes the star to reach spin equilibrium. This…

Solar and Stellar Astrophysics · Physics 2017-07-26 Caroline D'Angelo

Approximately 10-20% of all Kuiper belt objects (KBOs) occupy mean-motion resonances with Neptune. This dynamical configuration likely resulted from resonance capture as Neptune migrated outward during the late stages of planet formation.…

Earth and Planetary Astrophysics · Physics 2015-05-27 Ruth A. Murray-Clay , Hilke E. Schlichting

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

We calculate the tidal torque on a uniformly rotating 1 Msun star at various stages of core hydrogen burning by an orbiting companion. We apply the `traditional approximation' and solve the radial part of the tidal perturbations by matrix…

Astrophysics · Physics 2009-11-07 G. J. Savonije , M. G. Witte

We simulate the coupled stellar and tidal evolution of short-period binary stars (orbital period $P_{orb} \lsim$8 days) to investigate the orbital oscillations, instellation cycles, and orbital stability of circumbinary planets (CBPs). We…

Earth and Planetary Astrophysics · Physics 2021-06-30 David E. Graham , David P. Fleming , Rory Barnes

Based on the value of the orbital eccentricity of a particle and also its proximity to the exact resonant orbit in a three-body system, the Pendulum Approximation (Dermott & Murray 1983) or the Second Fundamental Model of Resonance (Andoyer…

Astrophysics · Physics 2009-11-06 Nader Haghighipour

The inner solar system's modern orbital architecture provides inferences into the epoch of terrestrial planet formation; a ~100 Myr time period of planet growth via collisions with planetesimals and other proto-planets. While classic…

Earth and Planetary Astrophysics · Physics 2023-02-08 Matthew S. Clement , John E. Chambers , Nathan A. Kaib , Sean N. Raymond , Alan P. Jackson

We introduce our new code, SMERCURY-T, which is based on existing codes SMERCURY (Lissauer et al. 2012) and Mercury-T (Bolmont et al. 2015). The result is a mixed-variable symplectic N-body integrator that can compute the orbital and spin…

Earth and Planetary Astrophysics · Physics 2021-09-09 Steven M. Kreyche , Jason W. Barnes , Billy L. Quarles , John E. Chambers