Orbital dynamics of two circumbinary planets around misaligned eccentric binaries

Abstract

We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect to the binary orbital plane. The binary-planet and planet-planet interactions result in complex planet tilt oscillations. We use analytic models and numerical simulations to explore the effects of various values of the planet semi-major axes, binary eccentricity, and initial inclination. Around a circular orbit binary, secular tilt oscillations are driven by planet-planet interactions and are periodic. In that case, planets undergo mutual libration if close together and circulation if far apart with an abrupt transition at a critical separation. Around an eccentric orbit binary, secular tilt oscillations are driven by both planet-planet interactions and binary-planet interactions. These oscillations generally display more than one frequency and are generally not periodic. The transition from mutual planet libration to circulation is not sharp and there is a range of separations for which the planets are on orbits that are sometimes mutually librating and sometimes circulating. In addition, at certain separations, there are resonances for which tilt oscillations are complicated but periodic. For planets that are highly misaligned with respect to an eccentric orbit binary, there are stationary (non-oscillating) tilt configurations that are generalisations of polar configurations for the single planet case. Tilt oscillations of highly inclined planets occur for initial tilts that depart from the stationary configuration.

arXiv comment18 pages, 13 figures

References in corpus (69)

• A Survey of Stellar Families: Multiplicity of Solar-Type Stars
• The PLATO 2.0 Mission
• Long-Term Stability of Planets in Binary Systems
• The Formation of a Star Cluster: Predicting the Properties of Stars and Brown Dwarfs
• Kepler-16: A Transiting Circumbinary Planet
• 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
• The tidally induced warping, precession and truncation of accretion discs in binary systems: three-dimensional simulations
• 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
• 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
• The First Circumbinary Planet Found by Microlensing: OGLE-2007-BLG-349L(AB)c
• Misaligned Disks in the Binary Protostar IRS 43
• Misaligned gas discs around eccentric black-hole binaries and implications for the final-parsec problem
• A Gas Giant Circumbinary Planet Transiting the F Star Primary of the Eclipsing Binary Star KIC 4862625 and the Independent Discovery and Characterization of the two transiting planets in the Kepler-47 System
• A triple star system with a misaligned and warped circumstellar disk shaped by disk tearing
• 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
• TOI-1338: TESS' First Transiting Circumbinary Planet
• Modelling Circumbinary Planets: The case of Kepler-38
• Inclination Evolution of Protoplanetary Disks Around Eccentric Binaries
• The Eccentric Kozai-Lidov mechanism for Outer Test Particle
• Stable counteralignment of a circumbinary disc
• Secular interactions between inclined planets and a gaseous disk
• Gaia's potential for the discovery of circumbinary planets
• 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
• Locating the Trailing Edge of the Circumbinary Ring in the KH 15D System
• Wave-like warp propagation in circumbinary discs II. Application to KH 15D
• On the Fate of Unstable Circumbinary Planets: Tatooine's Close Encounters with a Death Star
• Polar alignment of a protoplanetary disc around an eccentric binary II: Effect of binary and disc parameters
• GW Ori: Interactions Between a Triple-star System and its Circumtriple Disk in Action
• Assembly of Protoplanetary Disks and Inclinations of Circumbinary Planets
• The Long-Term Dynamical Evolution of Planetary Systems
• 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
• Kepler-1661 b: A Neptune-sized Kepler Transiting Circumbinary Planet around a Grazing Eclipsing Binary
• Alignment of a circumbinary disc around an eccentric binary with application to KH 15D
• Polar planets around highly eccentric binaries are the most stable
• The Evolution of Planet-Disk Systems That Are Mildly Inclined to the Orbit of a Binary Companion
• Accretion disc viscosity: what do warped discs tell us?
• Caustic Structures and Detectability of Circumbinary Planets in Microlensing
• Formation of the polar debris disc around 99 Herculis
• On The Lack of Circumbinary Planets Orbiting Isolated Binary Stars
• Instabilities in Multi-Planet Circumbinary Systems
• On The Secular Evolution of GG Tau A Circumbinary Disc: A Msialigned Disc Scenario
• Flyby-induced misalignments in planet-hosting discs
• The inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber
• Disruption of Planetary Orbits Through Evection Resonance with an External Companion: Circumbinary Planets and Multiplanet Systems
• Distinguishing Polar and Co-planar Circumbinary Exoplanets by Eclipsing Timing Variations
• An Automated Method to Detect Transiting Circumbinary Planets
• Constraining the Circumbinary Disk Tilt in the KH 15D system
• Birth environment of circumbinary planets: are there CBPs on the inclined orbits?

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