Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology
arXiv:1411.1860 · doi:10.1051/0004-6361/201424211
Abstract
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 allows large eccentricities and it is not limited to quasi-periodic perturbations. It can take into account an extended class of perturbations, including chaotic motions and transient events. We apply our model to some already detected eccentric hot Jupiters and super-Earths in planar configurations. We show that when the relaxation time of the deformation is larger than the orbital period, spin-orbit equilibria arise naturally at half-integers of the mean motion, even for gaseous planets. In the case of super-Earths, these equilibria can be maintained for very low values of eccentricity. Our method can also be used to study planets with complex internal structures and other rheologies.
arXiv comment16 pages, 13 figures, 2 tables
References in corpus (30)
- Models of Giant Planet formation with migration and disc evolution
- Planet Migration and Binary Companions: the case of HD 80606b
- Extrasolar planet population synthesis I: Method, formation tracks and mass-distance distribution
- Tidal dissipation in rotating giant planets
- Multiple-Planet Scattering and the Origin of Hot Jupiters
- Radius and Structure models for the First Super-Earth Planet
- Giant planets orbiting metal-rich stars show signatures of planet-planet interactions
- Strong tidal dissipation in Saturn and constraints on Enceladus' thermal state from astrometry
- Tidally Heated Terrestrial Exoplanets: Viscoelastic Response Models
- A Rocky Composition for an Earth-sized Exoplanet
- Bodily tides near spin-orbit resonances
- Tidal torques. A critical review of some techniques
- Tidal evolution of hierarchical and inclined systems
- Observation of the full 12-hour-long transit of the exoplanet HD80606b. Warm-Spitzer photometry and SOPHIE spectroscopy
- Improved precision on the radius of the nearby super-Earth 55 Cnc e
- Tidal synchronization of close-in satellites and exoplanets. A rheophysical approach
- Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations
- Nonlinear evolution of tidally forced inertial waves in rotating fluid bodies
- Anelastic tidal dissipation in multi-layer planets
- The equilibrium tide in stars and giant planets: I - the coplanar case
- On the interaction between tides and convection
- HAT-P-34b -- HAT-P-37b: Four Transiting Planets More Massive Than Jupiter Orbiting Moderately Bright Stars
- No pseudosynchronous rotation for terrestrial planets and moons
- Viscoelastic Tidal Dissipation in Giant Planets and Formation of Hot Jupiters Through High-Eccentricity Migration
- Secular evolution of a satellite by tidal effect. Application to Triton
- Spin-orbit coupling for tidally evolving super-Earths
- Tidal dissipation in multi-planet systems and constraints to orbit-fitting
- On the equilibrium figure of close-in planets and satellites
- Impact of the frequency dependence of tidal Q on the evolution of planetary systems
- Unravelling tidal dissipation in gaseous giant planets
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- Obliquity-Driven Sculpting of Exoplanetary Systems
- Increased Tidal Dissipation Using Advanced Rheological Models: Implications for Io and Tidally Active Exoplanets
- Effect of the rotation and tidal dissipation history of stars on the evolution of close-in planets
- Mercury-T: A new code to study tidally evolving multi-planet systems. Applications to Kepler-62
- Tidally-Induced Radius Inflation of Sub-Neptunes
- Stellar triples on the edge; Comprehensive overview of the evolution of destabilised triples leading to stellar and binary exotica
- Formation of Ultra-Short-Period Planets by Obliquity-Driven Tidal Runaway
- Why do warm Neptunes present nonzero eccentricity?
- Tidal Inflation Reconciles Low-Density Sub-Saturns with Core Accretion
- Equilibrium rotation of semiliquid exoplanets and satellites
- Complete spin and orbital evolution of close-in bodies using a Maxwell viscoelastic rheology
- Secular and tidal evolution of circumbinary systems
- Spin-orbital tidal dynamics and tidal heating in the TRAPPIST-1 multi-planet system
- The rotation of planets hosting atmospheric tides: from Venus to habitable super-earths
- Scaling laws to understand tidal dissipation in fluid planetary regions and stars I - Rotation, stratification and thermal diffusivity
- Tidal synchronization of close-in satellites and exoplanets. II. Spin dynamics and extension to Mercury and exoplanets host stars
- Andrade rheology in time-domain. Application to Enceladus' dissipation of energy due to forced libration
- Solid tidal friction in multi-layer planets: Application to Earth, Venus, a Super Earth and the TRAPPIST-1 planets. Can a multi-layer planet be approximated as a homogeneous planet?
- Post-main-sequence debris from rotation-induced YORP break-up of small bodies II: multiple fissions, internal strengths and binary production
- Self-Consistent Spin, Tidal and Dynamical Equations of Motion in the REBOUNDx Framework
- Detectability of shape deformation in short-period exoplanets
- Atmospheric tides in Earth-like planets
- Oceanic tides from Earth-like to ocean planets
- Spin-orbit coupling and chaotic rotation for circumbinary bodies. Application to the small satellites of the Pluto-Charon system
- On the Spin States of Habitable Zone Exoplanets Around M Dwarfs: The Effect of a Near-Resonant Companion
- Final spin states of eccentric ocean planets
- Tidal Dissipation in Dual-Body, Highly Eccentric, and Non-synchronously Rotating Systems: Applications to Pluto-Charon and the Exoplanet TRAPPIST-1e
- Effects of Spin-Orbit Resonances and Tidal Heating on the Inner Edge of the Habitable Zone
- Tidal synchronization of close-in satellites and exoplanets. III. Tidal dissipation revisited and application to Enceladus
- Spin-orbit coupling for close-in planets
- Dissipation in a tidally perturbed body librating in longitude
- Tides in a body librating about a spin-orbit resonance. Generalisation of the Darwin-Kaula theory
- Resonance in the K2-19 system is at odds with its high reported eccentricities
- Chaotic dynamics in the (47171) Lempo triple system
- The Chaotic Nature of TRAPPIST-1 Planetary Spin States
- Tidal excitation of the obliquity of Earth-like planets in the habitable zone of M-dwarf stars
- The small and large lags of the elastic and anelastic tides. The virtual identity of two rheophysical theories
- Atmospheric stability and collapse on tidally locked rocky planets
- A generic frequency dependence for the atmospheric tidal torque of terrestrial planets
- Tidal evolution for any rheological model using a vectorial approach expressed in Hansen coefficients
- Thermal and orbital evolution of low-mass exoplanets
- The tidal parameters of TRAPPIST-1 b and c
- Spin dynamics of close-in planets exhibiting large TTVs
- Spin evolution of Venus-like planets subjected to gravitational and thermal tides
- Tidal synchronization of an anelastic multi-layered body: Titan's synchronous rotation
- Tidal friction in satellites and planets. The new version of the creep tide theory
- Numerical Modelling of Tertiary Tides
- Is the orbital distribution of multiplanet systems influenced by pure three-planet resonances?
- Librations of a body composed of a deformable mantle and a fluid core
- An analytical model for tidal evolution in co-orbital systems I. Application to exoplanets
- Tidal evolution of exoplanetary systems hosting Potentially Habitable Exoplanets. The cases of LHS-1140 b-c and K2-18 b-c
- Dynamical Tides in Eccentric Binaries Containing Massive Main-Sequence Stars: Analytical Expressions
- An Empirical Fit for Viscoelastic Simulations of Tertiary Tides
- Coupled orbital and spin evolution of the CoRoT-7 two-planet system using a Maxwell viscoelastic rheology
- The Spin-Orbit Evolution of GJ 667C System: The Effect of Composition and Other Planet's Perturbations
- Tidal evolution of the Pluto-Charon binary
- A direct N-body integrator for modelling the chaotic, tidal dynamics of multi-body extrasolar systems: TIDYMESS
- Atmospheric thermal tides and planetary spin I. The complex interplay between stratification and rotation
- Tidal evolution of Earth-like planets in the habitable zone of low-mass stars
- Rotation and figure evolution in the creep tide theory. A new approach and application to Mercury
- On the influence of equilibrium tides on transit-timing variations of close-in super-Earths. I. Application to single-planet systems and the case of K2-265 b
- The tidal heating of the exoplanet 55 Cnc e. The role of the orbital eccentricity
- Meta-modelling the climate of dry tide locked rocky planets
- Ellipsoidal equilibrium figure and Cassini states of rotating planets and satellites deformed by a tidal potential in the spatial case
- Spin and orbital dynamics of planets undergoing thermal atmospheric tides using a vectorial approach
- Exoplanets synchronization in the habitable zone: Learning from Venus' retrograde rotation
- Creep Tide Model for the 3-Body Problem. The rotational evolution of a circumbinary planet
- The Resonant Tidal Evolution of the Earth-Moon Distance
- The dynamical evolution of close-in binary systems formed by a super-Earth and its host star. Case of the Kepler-21 system