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The objective of this paper is to study the tidally locked 3:2 spin-orbit resonance of Mercury around the Sun. In order to achieve this goal, the effective potential energy that determines the spinning motion of an ellipsoidal planet around…

Earth and Planetary Astrophysics · Physics 2022-03-18 Christopher Clouse , Andrea Ferroglia , Miguel C. N. Fiolhais

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

I present results from the first global hydrodynamical simulations of the elliptical instability in a tidally deformed gaseous planet (or star) with a free surface. The elliptical instability is potentially important for tidal evolution of…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker

Tidal dissipation in star-planet systems can occur through various mechanisms, among which is the elliptical instability. This acts on elliptically deformed equilibrium tidal flows in rotating fluid planets and stars, and excites inertial…

Earth and Planetary Astrophysics · Physics 2023-07-12 Nils B. de Vries , Adrian J. Barker , Rainer Hollerbach

We present a suite of direct $N$-body simulations of the Hyades open cluster and its tidal stream in a Milky Way potential that includes a rotating bar and spiral arms. Using the high-resolution code PETAR and an AGAMA-based multi-component…

Astrophysics of Galaxies · Physics 2026-04-01 Zi-yi Zhou , Long Wang , Tereza Jerabkova , Zhenghao He

The vertical, tip-to-tip arrangement of neighboring caudal fins, common in densely packed fish schools, has received much less attention than staggered or side-by-side pairings. We explore this configuration using a canonical system of two…

Fluid Dynamics · Physics 2025-07-01 Yu Pan , Yuanhang Zhu , Elizabeth Westfall , Daniel B. Quinn , Haibo Dong , George V. Lauder

Body tides reveal information about planetary interiors and affect their evolution. Most models to compute body tides rely on the assumption of a spherically-symmetric interior. However, several processes can lead to lateral variations of…

Earth and Planetary Astrophysics · Physics 2024-06-05 Marc Rovira-Navarro , Isamu Matsuyama , Alexander Berne

(abbreviated) We extend the theory of close encounters of a planet on a parabolic orbit with a star to include the effects of tides induced on the central rotating star. Orbits with arbitrary inclination to the stellar rotation axis are…

Earth and Planetary Astrophysics · Physics 2015-05-28 P. B. Ivanov , J. C. B. Papaloizou

We consider the impact fragmentation of two spherical solid bodies sensitive to strain rate in a three-dimensional (3D) setting. We use both dimensional analysis and numerical simulations by smoothed-particle hydrodynamics (SPH) method to…

Soft Condensed Matter · Physics 2021-11-17 N. N. Myagkov

One possible diagnostic of planet formation, orbital migration, and tidal evolution is the angle psi between a planet's orbital axis and the spin axis of its parent star. In general, psi cannot be measured, but for transiting planets one…

Earth and Planetary Astrophysics · Physics 2011-02-11 Daniel C. Fabrycky , Joshua N. Winn

We study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortest physical axis and is perpendicular to the orbital plane.…

Dynamical Systems · Mathematics 2022-09-28 Alessandra Celletti , Joan Gimeno , Mauricio Misquero

The tidal radius is commonly determined analytically by equating the tidal field of the galaxy to the gravitational potential of the cluster. Stars crossing this radius can move from orbiting the cluster centre to independently orbiting the…

Astrophysics of Galaxies · Physics 2014-11-11 Gareth F. Kennedy

For a fluid of convex hard particles, characterized by a length scale $\sigma_\text{min}$ and an anisotropy parameter $\epsilon$, we develop a formalism allowing one to relate thermodynamic quantities to the body's shape. In a first step…

Statistical Mechanics · Physics 2025-06-17 Thomas Franosch , Cristiano De Michele , Rolf Schilling

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

In this work, models of rubble pile binary secondaries are simulated in different spin states in a system similar in size and scale to Didymos-Dimorphos. The numerical modeling is performed in the N-body Chrono-based software GRAINS, which…

Earth and Planetary Astrophysics · Physics 2025-07-15 Ethan R. Burnett , Iosto Fodde , Fabio Ferrari

We present a technique for constructing equilibrium triaxial N-body haloes with nearly arbitrary density profiles, axial ratios and spin parameters. The method is based on the way in which structures form in hierarchical cosmological…

Astrophysics · Physics 2009-11-10 Ben Moore , Stelios Kazantzidis , Juerg Diemand , Joachim Stadel

We study orbital evolution of multi-planet systems that form a resonant chain, with nearest neighbours close to first order commensurabilities, incorporating orbital circularisation produced by tidal interaction with the central star. We…

Earth and Planetary Astrophysics · Physics 2021-06-23 J. C. B. Papaloizou

The gradient and curvature of the Parker spiral interplanetary magnetic field give rise to curvature and gradient guiding centre drifts on cosmic rays. The plasma turbulence present in the interplanetary space is thought to suppress the…

Solar and Stellar Astrophysics · Physics 2024-12-19 T. Laitinen , S. Dalla

We investigate the fast (type III) migration regime of high-mass protoplanets orbiting in protoplanetary disks. This type of migration is dominated by corotational torques. We study the details of flow structure in the planet's vicinity,…

Astrophysics · Physics 2009-11-13 A. Pepliński , P. Artymowicz , G. Mellema

Several natural satellites of the giant planets have shown evidence of a global internal ocean, coated by a thin, icy crust. This crust is probably viscoelastic, which would alter its rotational response. This response would translate into…

Earth and Planetary Astrophysics · Physics 2018-01-24 Benoît Noyelles