Modelling the secular evolution of migrating planet pairs

  title={Modelling the secular evolution of migrating planet pairs},
  author={Tatiana A. Michtchenko and Adri'an Rodr'iguez},
  journal={Monthly Notices of the Royal Astronomical Society},
The subject of this paper is the secular behaviour of a pair of planets evolving under dissipative forces. In particular, we investigate the case when dissipative forces affect the planetary semimajor axes and the planets move inwards/outwards the central star, in a process known as planet migration. To perform this investigation, we introduce fundamental concepts of conservative and dissipative dynamics of the three-body problem. Based on these concepts, we develop a qualitative model of the… 
The generalized non-conservative model of a 1-planet system revisited
We study the long-term dynamics of a planetary system composed of a star and a planet. Both bodies are considered as extended, non-spherical, rotating objects. There are no assumptions made on the
Secular Dynamics of Multiplanetary Circumbinary Systems
We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand
Angular momentum exchange during secular migration of two-planet systems
We investigate the secular dynamics of two-planet coplanar systems evolving under mutual gravitational interactions and dissipative forces. We consider two mechanisms responsible for the planetary
Tidal evolution of the Kepler-10 system
We investigate by numerical methods the tidal evolution of the Kepler-10 system, which consists of an inner rocky planet and an outer terrestrial planet, by considering various initial eccentricity
Tidal evolution of close-in exoplanets in co-orbital configurations
In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital
Secular dynamics of multiplanetary circumbinary systems: stationary solutions and binary-planet secular resonance
We present an analytical formalism to study the secular dynamics of a system consisting of $$N-2$$N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and
Vertical instability and inclination excitation during planetary migration
We consider a two-planet system migrating under the influence of dissipative forces that mimic the effects of gas-driven (Type II) migration. It has been shown that, in the planar case, migration
Spin-orbit Coupling for Tidally Evolving Super-Earths
We investigate the spin behaviour of close-in rocky planets and the implications for their orbital evolution. Considering that the planet rotation evolves under simultaneous actions of the torque due
Dynamics of the 3/1 planetary mean-motion resonance: an application to the HD60532 b-c planetary system
In this paper, we use a semi-analytical approach to analyze the global structure of the phase space of the planar planetary 3/1 mean-motion resonance. The case where the outer planet is more massive
Dynamical stability of terrestrial planets in the binary α Centauri system
In this paper, we investigate whether hypothetical Earth-like planets have high probability of remaining on stable orbits inside the habitable zones around the stars A and B of {\alpha} Centauri, for


On the dynamics of extrasolar planetary systems under dissipation: Migration of planets
We study the dynamics of planetary systems with two planets moving in the same plane, when frictional forces act on the two planets, in addition to the gravitational forces. The model of the general
On the migration of a system of protoplanets
ABSTRA C T The evolution of a system consisting of a protoplanetary disc with two embedded Jupitersized planets is studied numerically. The disc is assumed to be flat and non-self-gravitating; this
Eccentricity Evolution of Migrating Planets
We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which either the outer or both planets lose energy and angular momentum. The sink of energy and
Evolution of Migrating Planet Pairs in Resonance
Numerical simulations of the evolution of planets or massive satellites captured in the 2/1 and 3/1 resonances, under the action of an anti-dissipative tidal force. The evolution of resonant trapped
Dynamic portrait of the planetary 2/1 mean‐motion resonance – II. Systems with a more massive inner planet
We analyse the global structure of the phase space of the planar planetary 2/1 mean-motion resonance in cases where the outer planet is more massive than its inner companion. Inside the resonant
Tidal Evolution of Exoplanets
Tidal effects arise from differential and inelastic deformation of a planet by a perturbing body. The continuous action of tides modify the rotation of the planet together with its orbit until an
Tidal Evolution of the Planetary System around HD 83443
Two planets with an orbital period ratio of approximately 10 : 1 have been discovered around the star HD 83443. The inner and more massive planet, HD 83443b, has the smallest semimajor axis among all