Polar planets around highly eccentric binaries are the most stable

Abstract

We study the orbital stability of a non-zero mass, close-in circular orbit planet around an eccentric orbit binary for various initial values of the binary eccentricity, binary mass fraction, planet mass, planet semi--major axis, and planet inclination by means of numerical simulations that cover $5\times 10^4$ binary orbits. For small binary eccentricity, the stable orbits that extend closest to the binary (most stable orbits) are nearly retrograde and circulating. For high binary eccentricity, the most stable orbits are highly inclined and librate near the so-called generalised polar orbit which is a stationary orbit that is fixed in the frame of the binary orbit. For more extreme mass ratio binaries, there is a greater variation in the size of the stability region (defined by initial orbital radius and inclination) with planet mass and initial inclination, especially for low binary eccentricity. For low binary eccentricity, inclined planet orbits may be unstable even at large orbital radii (separation $>5a_{\mathrm{b}}$). The escape time for an unstable planet is generally shorter around an equal mass binary compared with an unequal mass binary. Our results have implications for circumbinary planet formation and evolution and will be helpful for understanding future circumbinary planet observations.

arXiv comment11 pages, 7 figures

References in corpus (62)

• A Survey of Stellar Families: Multiplicity of Solar-Type Stars
• Long-Term Stability of Planets in Binary Systems
• The Transiting Circumbinary Planets Kepler-34 and Kepler-35
• WHFast: A fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long term gravitational simulations
• Kepler-47: A Transiting Circumbinary Multi-Planet System
• On the diversity and statistical properties of protostellar discs
• Three-dimensional Calculations of High and Low-mass Planets Embedded in Protoplanetary Discs
• A Comprehensive Study of the Kepler Triples via Eclipse Timing
• The Neptune-Sized Circumbinary Planet Kepler-38b
• Kepler-413b: a slightly misaligned, Neptune-size transiting circumbinary planet
• On the tilting of protostellar disks by resonant tidal effects
• The Dynamics and Stability of Circumbinary Orbits
• Tidal Truncation of Inclined Circumstellar and Circumbinary Discs in Young Stellar Binaries
• High inclination orbits in the secular quadrupolar three-body problem
• KIC 9632895 - The 10th Kepler Transiting Circumbinary Planet
• Wave-like warp propagation in circumbinary discs I. Analytic theory and numerical simulations
• Flybys in protoplanetary discs: I. Gas and dust dynamics
• Retrograde Accretion and Merging Supermassive Black Holes
• The Circumbinary Ring of KH 15D
• Kepler-1647b: the largest and longest-period Kepler transiting circumbinary planet
• 99 Herculis: Host to a Circumbinary Polar-ring Debris Disk
• KH 15D: Gradual Occultation of a Pre-Main-Sequence Binary
• The Degree of Alignment Between Circumbinary Disks and Their Binary Hosts
• Misaligned Disks in the Binary Protostar IRS 43
• Planets Transiting Non-Eclipsing Binaries
• Misaligned gas discs around eccentric black-hole binaries and implications for the final-parsec problem
• The hydrodynamical response of a tilted circumbinary disc: linear theory and non-linear numerical simulations
• Polar alignment of a protoplanetary disk around an eccentric binary
• Inclination Evolution of Protoplanetary Disks Around Eccentric Binaries
• The Eccentric Kozai-Lidov mechanism for Outer Test Particle
• Planet-disc evolution and the formation of Kozai-Lidov planets
• Stability Limits of Circumbinary Planets: Is There a Pile-up in the Kepler CBPs?
• Uncovering Circumbinary Planetary Architectural Properties from Selection Biases
• High Inclination Planets in Multistellar Systems
• Linear Analysis of the Evolution of Nearly Polar Low Mass Circumbinary Discs
• Wave-like warp propagation in circumbinary discs II. Application to KH 15D
• Locating the Trailing Edge of the Circumbinary Ring in the KH 15D System
• Evolution of linear warps in accretion discs and applications to protoplanetary discs in binaries
• On the Fate of Unstable Circumbinary Planets: Tatooine's Close Encounters with a Death Star
• Rapid AGN accretion from counter-rotating discs
• Planet formation and stability in polar circumbinary discs
• Long-Term Stability of Planets in the $\alpha$ Centauri System
• Orbital Stability of Circumstellar Planets in Binary Systems
• Polar alignment of a protoplanetary disc around an eccentric binary II: Effect of binary and disc parameters
• Assembly of Protoplanetary Disks and Inclinations of Circumbinary Planets
• Secular Dynamics of an Exterior Test Particle: The Inverse Kozai and Other Eccentricity-Inclination Resonances
• Orbital dynamics of circumbinary planets
• Polar alignment of a protoplanetary disc around an eccentric binary III: Effect of disc mass
• Evolution of circumbinary planets around eccentric binaries: The case of Kepler-34
• Alignment of a circumbinary disc around an eccentric binary with application to KH 15D
• The Evolution of Planet-Disk Systems That Are Mildly Inclined to the Orbit of a Binary Companion
• Circumbinary disk inner radius as a diagnostic for disk--binary misalignment
• Formation of the polar debris disc around 99 Herculis
• Flyby-induced misalignments in planet-hosting discs
• The inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber
• Evidence for a planetary mass third body orbiting the binary star KIC 5095269
• Decoupling of a giant planet from its disk in an inclined binary system
• Distinguishing Polar and Co-planar Circumbinary Exoplanets by Eclipsing Timing Variations
• Orbital alignment of circumbinary planets that form in misaligned circumbinary discs: the case of Kepler-413b
• Multi-planet disc interactions in binary systems
• Parametric study of polar configurations around binaries
• Could there be an undetected inner planet near the stability limit in Kepler-1647?

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• HD 143006: circumbinary planet or misaligned disc?
• Formation of polar terrestrial circumbinary planets
• The eclipse of the V773 Tau B circumbinary disk
• Circumbinary disk evolution in the presence of an outer companion star
• Constraining the Circumbinary Disk Tilt in the KH 15D system
• A radial limit on polar circumbinary orbits from general relativity
• Terrestrial planet formation in a circumbinary disc around a coplanar binary
• Polar circumtriple planets and disks can only form close to a triple star
• Evidence for a polar circumbinary exoplanet orbiting a pair of eclipsing brown dwarfs
• Polar alignment of a massive retrograde circumbinary disc around an eccentric binary
• A Dynamical Systems Approach to the Theory of Circumbinary Orbits in the Circular Restricted Problem
• Misaligned circumbinary disks as efficient progenitors of interstellar asteroids
• Orbital dynamics of two circumbinary planets around misaligned eccentric binaries
• Misalignment of terrestrial circumbinary planets as an indicator of their formation mechanism
• Orbital stability of two circumbinary planets around misaligned eccentric binaries
• Fast nodal precession of the disc around Pleione requires a broken disc
• Stability of coorbital planets around binaries
• Dynamical Stability of Polar Circumbinary Orbits and Planet-Formation in Planetary Disc of 99 Herculis