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In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the gravity field coefficients. This method…

地球与行星天体物理 · 物理学 2014-11-19 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar , Adrián Rodríguez

We investigate the orbital and rotational evolution of the CoRoT-7 two-planet system, assuming that the innermost planet behaves like a Maxwell body. We numerically resolve the coupled differential equations governing the instantaneous…

地球与行星天体物理 · 物理学 2016-12-28 Adrián Rodríguez Colucci , Nelson Callegari , Alexandre Correia

We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

地球与行星天体物理 · 物理学 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

Recent works suggest that, in multiplanetary systems, a close-in exoplanet can sometimes avoid becoming tidally locked to its host star if it is captured into a secular spin-orbit resonance with a companion planet. In such a resonance, the…

地球与行星天体物理 · 物理学 2024-10-10 Henry Yuan , Yubo Su , Jeremy Goodman

The aim of this work is to develop a formalism for the study of the secular evolution of a binary system which includes interaction due to the tides that each body imparts on the other. We also consider the influence of the $J_2$-related…

地球与行星天体物理 · 物理学 2020-09-16 Santiago Luna , Hugo Navone , Mario Melita

We study the spin evolution of close-in planets in multi-body systems and present a very general formulation of the spin-orbit problem. This includes a simple way to probe the spin dynamics from the orbital perturbations, a new method for…

地球与行星天体物理 · 物理学 2021-12-30 Alexandre C. M. Correia , Jean-Baptiste Delisle

Spin-orbit misalignments have been detected in exoplanetary systems and binary star systems. Tidal interactions may have played an important role in the evolution of the spin-orbit angle. In this study, we investigate the tidal interactions…

地球与行星天体物理 · 物理学 2017-04-12 Yufeng Lin , Gordon Ogilvie

We present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

地球与行星天体物理 · 物理学 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

The arrival of powerful instruments will provide valuable data for the characterization of rocky exoplanets. It is then crucial to accurately model the dynamical state of exoplanets. Rocky planets with sufficiently large orbits should have…

This study analyzes secular dynamics using averaged equations that detail tidal effects on the motion of two extended bodies in Keplerian orbits. It introduces formulas for energy dissipation within each body of a binary system. The…

地球与行星天体物理 · 物理学 2024-02-19 Clodoaldo Ragazzo , Lucas Ruiz dos Santos

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

地球与行星天体物理 · 物理学 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

Thermal, orbital, and rotational dynamics of tidally loaded exoplanets are interconnected by intricate feedback. The rheological structure of the planet determines its susceptibility to tidal deformation and, as a consequence, participates…

地球与行星天体物理 · 物理学 2020-09-02 Michaela Walterová , Marie Běhounková

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…

地球与行星天体物理 · 物理学 2021-09-09 Steven M. Kreyche , Jason W. Barnes , Billy L. Quarles , John E. Chambers

We present a tidal model for treating the rotational evolution in the general three-body problem with arbitrary viscosities, in which all the masses are considered to be extended and all the tidal interactions between pairs are taken into…

地球与行星天体物理 · 物理学 2021-07-14 F. A. Zoppetti , H. Folonier , A. M. Leiva , C. Beaugé

With the discovery over the last two decades of a large diversity of exoplanetary systems, it is now of prime importance to characterize star-planet interactions and how such systems evolve. We address this question by studying systems…

太阳与恒星天体物理 · 物理学 2019-01-16 M. Benbakoura , V. Réville , A. S. Brun , C. Le Poncin-Lafitte , S. Mathis

Earth-mass planets are expected to have atmospheres and experience thermal tides raised by the host star. These tides transfer energy to the planet that can counter the dissipation from bodily tides. Indeed, even a relatively thin…

地球与行星天体物理 · 物理学 2023-12-13 Ema F. S. Valente , Alexandre C. M. Correia

The angle between the stellar spin and the planetary orbit axes (spin-orbit angle) is supposed to carry valuable information on the initial condition of the planet formation and the subsequent migration history. Indeed current observations…

地球与行星天体物理 · 物理学 2015-06-18 Yuxin Xue , Yasushi Suto , Atsushi Taruya , Teruyuki Hirano , Yuka Fujii , Kento Masuda

We revisit the two body problem, where one body can be deformed under the action of tides raised by the companion. Tidal deformation and consequent dissipation result in spin and orbital evolution of the system. In general, the equations of…

地球与行星天体物理 · 物理学 2023-06-07 Alexandre C. M. Correia , Ema F. S. Valente

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

地球与行星天体物理 · 物理学 2015-09-16 Valeri V. Makarov

The motion of two planets around a Sun-like star under the combined effects of mutual interaction and tidal dissipation is investigated. The secular behaviour of the system is analyzed using two different approaches. First, we solve the…

地球与行星天体物理 · 物理学 2015-05-27 Adrián Rodríguez , Sylvio Ferraz-Mello , Tatiana A. Michtchenko , Cristian Beaugé , Octavio Miloni
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