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Mean-motion resonances (MMRs) are likely to play an important role both during and after the lifetime of a protostellar gas disk. We study the dynamical evolution and stability of planetary systems containing two giant planets on circular…

天体物理学 · 物理学 2009-06-23 Aaron T. Lee , Edward W. Thommes , Frederic A. Rasio

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

地球与行星天体物理 · 物理学 2015-05-20 Alexander Mustill , Mark Wyatt

Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

地球与行星天体物理 · 物理学 2021-11-03 Wenrui Xu , Dong Lai

This report is a review of Darwin's classical theory of bodily tides in which we present the analytical expressions for the orbital and rotational evolution of the bodies and for the energy dissipation rates due to their tidal interaction.…

天体物理学 · 物理学 2009-06-19 Sylvio Ferraz-Mello , Adrián Rodríguez , Hauke Hussmann

Recent asteroseismic measurements have revealed a small population of stars in close binaries, containing primaries with extremely slow rotation rates. Such stars defy the standard expectation of tidal synchronization in such systems, but…

太阳与恒星天体物理 · 物理学 2023-09-18 Catherine Felce , Jim Fuller

Tidal torques can alter the spins of tidally interacting stars and planets, usually over shorter timescales than the tidal damping of orbital separations or eccentricities. Simple tidal models predict that, in eccentric binary or planetary…

太阳与恒星天体物理 · 物理学 2024-07-16 Janosz W. Dewberry

The aim of this article is to propose a model, that is a planar version of the Full Two-Body Problem, and discuss the existence and stability of a relevant periodic solution. Consider two homogeneous ellipsoids orbiting around each other in…

动力系统 · 数学 2021-05-26 Mauricio Misquero

The rotation period of some planet-hosting stars appears to be in close commensurability with the orbital period of their close-by planets. A model is proposed to interpret such a phenomenon based on the excitation of resonant oscillations…

地球与行星天体物理 · 物理学 2022-03-14 A. F. Lanza

A self-consistent, adiabatic model for the {\it long-time} behaviour of tidal capture binaries is presented. It is shown that most capture orbits behave chaotically, with the eccentricity following a quasi-random walk between the values of…

天体物理学 · 物理学 2007-05-23 Rosemary A. Mardling

Capture into mean motion resonance (MMR) is an important dynamical mechanism as it shapes the final architecture of a planetary system. We simulate systems of two or three planets undergoing migration with varied initial parameters such as…

地球与行星天体物理 · 物理学 2023-01-11 Kaltrina Kajtazi , Antoine C. Petit , Anders Johansen

The behaviour of resonances in the spin-orbit coupling in Celestial Mechanics is investigated. We introduce a Hamiltonian nearly-integrable model describing an approximation of the spin-orbit interaction. A parametric representation of…

chao-dyn · 物理学 2007-05-23 Alessandra Celletti , Luigi Chierchia

We explore a simplified model of the outcome of an early outer Solar System gravitational upheaval during which objects were captured into Neptune's 3:2 mean motion resonance via scattering rather than smooth planetary migration. We use…

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

地球与行星天体物理 · 物理学 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

Planetary systems exhibiting mean-motion resonances (MMRs) offer unique opportunities to study the imprint of disk-induced migration on the orbital architectures of planetary systems. The HD 45364 system, discovered via the radial velocity…

地球与行星天体物理 · 物理学 2025-02-24 Ian Chow , Sam Hadden

We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary…

天体物理学 · 物理学 2009-11-13 Li-Yong Zhou , Sylvio Ferraz-Mello , Yi-Sui Sun

Some quadruple star systems in the hierarchical 2+2 configuration exhibit orbit-orbit resonances between the two compact binaries. We show that the most important resonances occur at period ratios of 1:1, 3:2 and 2:1. We describe the…

太阳与恒星天体物理 · 物理学 2020-04-08 Scott Tremaine

We investigate the measurement correlation between the effective spin and the effective tidal deformability in gravitational wave signals from binary neutron star mergers. To efficiently measure the effective tidal deformability parameter,…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Souradeep Pal , K Rajesh Nayak

Stars in short-period binaries typically have spins that are aligned and synchronized with the orbit of their companion. In triple systems, however, the combination of spin and orbital precession can cause the star's rotation to evolve to a…

太阳与恒星天体物理 · 物理学 2023-09-18 Jim Fuller , Catherine Felce

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

地球与行星天体物理 · 物理学 2016-11-03 George Voyatzis

Spin-orbit coupling is widespread in binary asteroid systems and it has been widely studied for the case of ellipsoidal secondary. Due to angular momentum exchange, dynamical coupling is stronger when the orbital and rotational angular…

地球与行星天体物理 · 物理学 2024-08-01 Hanlun Lei