Long-Term Stability of Planets in Binary Systems

Abstract

A simple question of celestial mechanics is investigated: in what regions of phase space near a binary system can planets persist for long times? The planets are taken to be test particles moving in the field of an eccentric binary system. A range of values of the binary eccentricity and mass ratio is studied, and both the case of planets orbiting close to one of the stars, and that of planets outside the binary orbiting the system's center of mass, are examined. From the results, empirical expressions are developed for both 1) the largest orbit around each of the stars, and 2) the smallest orbit around the binary system as a whole, in which test particles survive the length of the integration (10^4 binary periods). The empirical expressions developed, which are roughly linear in both the mass ratio mu and the binary eccentricity e, are determined for the range 0.0 <= e <= 0.7-0.8 and 0.1 <= mu <= 0.9 in both regions, and can be used to guide searches for planets in binary systems. After considering the case of a single low-mass planet in binary systems, the stability of a mutually-interacting system of planets orbiting one star of a binary system is examined, though in less detail.

19 pages, 5 figures, 7 tables, accepted by the Astronomical Journal

Cited by in corpus (564)

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• Viscous circumbinary protoplanetary discs -- I. Structure of the inner cavity
• Constraining the orbit of the planet-hosting binary $\tau$ Boötis: Clues about planetary formation and migration
• OGLE-2019-BLG-1470LABc: Another Microlensing Giant Planet in a Binary System?
• How dusty is alpha Centauri? Excess or non-excess over the infrared photospheres of main-sequence stars
• A Gas Giant Planet in the OGLE-2006-BLG-284L Stellar Binary System
• Stellar Companions to the Exoplanet Host Stars HD 2638 and HD 164509
• Stability of planets in triple star systems
• The Role of Disc Self-Gravity in Circumbinary Planet Systems: II. Planet Evolution
• Stability of multiplanet systems in binaries
• Electromagnetic signals from planetary collisions
• Running The Gauntlet -- Survival of Small Circumbinary Planets Migrating Through Destabilising Resonances
• Dynamical analysis of the circumprimary planet in the eccentric binary system HD59686
• Exoplanets Bouncing Between Binary Stars
• Examining Tatooine: Atmospheric Models of Neptune-Like Circumbinary Planets
• Improving circumbinary planet detections by fitting their binary's apsidal precession
• The Absence of Cold Dust around Warm Debris Disk Star HD 15407A
• Habitability properties of circumbinary planets
• Hints for hidden planetary companions to hot Jupiters in stellar binaries
• Polar circumtriple planets and disks can only form close to a triple star
• Effects of XUV radiation on circumbinary planets
• A strategy to search for an inner binary black hole from the motion of the tertiary star
• Constraining the magnitude of climate extremes from time-varying instellation on a circumbinary terrestrial planet
• On the Stellar Companion to the Exoplanet Hosting Star 30 Arietis B
• Planetary Dynamics and Habitable Planet Formation In Binary Star Systems
• The Stability and Dynamics of Planets in Tight Binary Systems
• On-Sky Demonstration of a Linear Band-limited Mask with Application to Visual Binary Stars
• Terrestrial planet formation in a circumbinary disc around a coplanar binary
• The Instability Transition for the Restricted 3-Body Problem. III. The Lyapunov Exponent Criterion
• The ominous fate of exomoons around hot Jupiters in the high-eccentricity migration scenario
• Long-term stability of planets in and around binary stars
• Forming Different Planetary Systems
• A target list for searching for habitable exomoons
• Planetary Stability Zones in Hierarchical Triple Star Systems
• The scattering outcomes of Kepler circumbinary planets: planet mass ratio
• Multiplicity of stars with planets in the solar neighbourhood
• On the Possibility of Habitable Moons in the System of HD 23079: Results from Orbital Stability Studies
• Sculpting the circumbinary planet size distribution through resonant interactions with companion planets
• On the frequency of planetary systems around G-dwarfs
• Exclusion of Stellar Companions to Exoplanet Host Stars
• The PHASES Differential Astrometry Data Archive IV: The Triple Star Systems 63 Gem A and HR 2896
• Regions of Dynamical Stability for Discs and Planets in Binary Stars of the Solar Neighborhood
• Architecture Classification for Extrasolar Planetary Systems
• Where to Find Habitable "Earths" in Circumbinary Systems
• Multiples among B stars in the Scorpius-Centaurus association
• On the Formation of Brown Dwarfs
• A third star in the HAT-P-7 system, and a new dynamical pathway to misaligned hot Jupiters
• A Pluto-Charon Sonata: The Dynamical Architecture of the Circumbinary Satellite System
• S-Type and P-Type Habitability in Stellar Binary Systems: A Comprehensive Approach III. Results for Mars, Earth, and super-Earth Planets
• The precession of SS433's radio ruff on long timescales
• Simulations of the Fomalhaut System Within Its Local Galactic Environment
• Lidov-Kozai stability regions in the alpha Centauri system
• Precision Astrometry of a Sample of Speckle Binaries and Multiples with the Adaptive Optics Facilities at the Hale and Keck II Telescopes
• A Pluto--Charon Sonata: Dynamical Limits on the Masses of the Small Satellites
• The unstable fate of the planet orbiting the A-star in the HD 131399 triple stellar system
• Orbital and physical parameters of eclipsing binaries from the All-Sky Automated Survey catalogue - VI. AK Fornacis - a rare, bright K-type eclipsing binary
• New high precision orbital and physical parameters of the double-lined low-mass spectroscopic binary BY Draconis
• A Pluto-Charon Concerto: An Impact on Charon as the Origin of the Small Satellites
• Disks in close binary stars: γ-Cephei revisited
• VIBES: VIsual Binary Exoplanet survey with SPHERE Upper limits on wide S-planet and S-BD frequencies, triple system discovery, and astrometric confirmation of 20 stellar binaries and three triple systems
• A Dynamical Systems Approach to the Theory of Circumbinary Orbits in the Circular Restricted Problem
• Evolution of a ring around the Pluto-Charon binary
• The Scorpion Planet Survey: Wide-Orbit Giant Planets Around Young A-type Stars
• Direct Imaging Discovery of a Young Brown Dwarf Companion to an A2V Star
• The PHASES Differential Astrometry Data Archive. III. Limits to Tertiary Companions
• Outward Migration of Terrestrial Embryos in Binary Systems
• Past and present dynamics of the circumbinary moons in the Pluto-Charon system
• Seeing Through the Ring: Near-Infrared Photometry of V582 Mon (KH 15D)
• Collisional Elongation: Possible Origin of Extremely Elongated Shape of 1I/`Oumuamua
• A quick method to identify secular resonances in multi-planet systems with a binary companion
• Eclipse, transit and occultation geometry of planetary systems at exo-syzygy
• On the Estimation of Circumbinary Orbital Properties
• Misaligned circumbinary disks as efficient progenitors of interstellar asteroids
• Mechanic: the MPI/HDF code framework for dynamical astronomy
• A dual-mask coronagraph for observing faint companions to binary stars
• An Early Catalog of Planet Hosting Multiple Star Systems of Order Three and Higher
• A long-period massive planet around HD106515A
• Orbital dynamics of two circumbinary planets around misaligned eccentric binaries
• Disc-protoplanet interaction Influence of circumprimary radiative discs on self-gravitating protoplanetary bodies in binary star systems
• The steady-state hydrodynamics of a long-lived disc: planetary system architecture and prospects of observing a circumplanetary disc shadow in V4046Sgr
• A possible giant planet orbiting the cataclysmic variable LX Ser
• A Pluto--Charon Concerto II. Formation of a Circumbinary Disk of Debris After the Giant Impact
• Recent Kepler Results On Circumbinary Planets
• Milankovitch Cycles for a Circumstellar Earth-analog within $\alpha$ Centauri-like Binaries
• Statistical properties of habitable zones in stellar binary systems
• BEBOP VII. SOPHIE discovery of BEBOP-3b, a circumbinary giant planet on an eccentric orbit
• Polluting White Dwarfs with Oort Cloud Comets
• Pulsar Timing Signatures of Circumbinary Asteroid Belts
• Dust accretion in binary systems: implications for planets and transition discs
• Parametric study of polar configurations around binaries
• A Dust Trap in the Young Multiple System HD 34700
• Analyzing the Habitable Zones of Circumbinary Planets Using Machine Learning
• Hiding Planets Near and Far: The Parameter Space of Hidden Companions for Known Planetary Systems
• TOI-4336 A b: A temperate sub-Neptune ripe for atmospheric characterization in a nearby triple M-dwarf system
• The influence of orbital resonances on the water transport to objects in the circumprimary habitable zone of binary star systems
• Giant planets population around B stars from the first part of the BEAST survey
• Two warm Earth-sized exoplanets and an Earth-sized candidate in the M5V-M6V binary system TOI-2267
• HST astrometry of the closest Brown Dwarfs -- II. Improved parameters and constraints on a third body
• Differential Interferometric Signatures of Close Binaries of Supermassive Black Holes in Active Galactic Nuclei: II. Merged Broad Line Regions
• Terrestrial Planets Formation around Circumbinary Habitable Zone: Inward Migration in the Planetesimal Swarm
• SS 433: The accretion disk revealed in H alpha
• How eclipse time variations, eclipse duration variations, and radial velocities can reveal S-type planets in close eclipsing binaries
• Using Photometry to Probe the Circumstellar Environment of delta Scorpii
• Evidence of a substellar companion to AB Dor C
• Classical Nova Carinae 2018: Discovery of circumbinary iron and oxygen
• Tidal decay of circumbinary planetary systems
• Effects of Proxima Centauri on Planet Formation in Alpha Centauri
• The likelihood of not detecting cavity-carving companions in transition discs -- A statistical approach
• Project 1640 Observations of the White Dwarf HD 114174 B
• On the enlargement of habitable zones around binary stars in hostile environments
• A study of the frequency and characteristics of stellar companions and Jupiter-like planets in nearby open clusters
• Statistics of Magrathea exoplanets beyond the Main Sequence. Simulating the long-term evolution of circumbinary giant planets with TRES
• The Habitable Zone of Kepler-16: Impact of Binarity and Climate Models
• Asteroid flux towards circumprimary habitable zones in binary star systems: II. Dynamics
• Time-Variable Aluminum Absorption in the Polar AR Ursae Majoris, and an Updated Estimate for the Mass of the White Dwarf
• An Exo-Jupiter Candidate in the Eclipsing Binary FL Lyr
• Space telescope design to directly image the habitable zone of Alpha Centauri
• Fast nodal precession of the disc around Pleione requires a broken disc
• Fitting Formulae and Constraints for the Existence of S-type and P-type Habitable Zones
• Could there be an undetected inner planet near the stability limit in Kepler-1647?
• DMPP-3: confirmation of short-period S-type planet(s) in a compact eccentric binary star system, and warnings about long-period RV planet detections
• Enlarging habitable zones around binary stars in hostile environments
• Improved companion mass limits for Sirius A with thermal infrared coronagraphy using a vector-apodizing phase plate and time-domain starlight-subtraction techniques
• Hubble Space Telescope Astrometry of the Metal-Poor Visual Binary $\mu$ Cassiopeiae: Dynamical Masses, Helium Content, and Age
• Uncovering the ultimate planet impostor. An eclipsing brown dwarf in a hierarchical triple with two evolved stars
• Three-dimensional evolution of radiative circumbinary discs: the size and shape of the inner cavity
• Light-Curve Evolution due to Secular Dynamics and the Vanishing Transits of KOI 120.01
• Effects of Flux Variation on the Surface Temperatures of Earth-like Circumbinary Planets
• Circumbinary planets: migration, trapping in mean-motion resonances, and ejection
• The "Drake equation" of exomoons -- a cascade of formation, stability and detection
• A Deep Search for Additional Satellites around the Dwarf Planet Haumea
• Multiwavelength Observations of the RV Tauri Variable System U Monocerotis: Long-Term Variability Phenomena That Can Be Explained by Binary Interactions with a Circumbinary Disk
• Fear the Shadows of the Giants: On Secular Perturbations in Circumstellar Habitable Zones of Double Stars
• Machine learning approach for mapping the stable orbits around planets
• Gl 725A b: a potential super-Earth detected with SOPHIE and SPIRou in an M dwarf binary system at 3.5 pc
• 94 Ceti: a triple star with a planet and dust disc
• Astrometric exomoon detection by means of optical interferometry
• Dynamics and habitability of the TESS circumbinary systems TOI-1338 and TIC-172900988
• Dynamics of passing-stars-perturbed binary star systems
• On the location of the ice line in circumbinary discs
• Orbital evolution of potentially habitable planets of tidally interacting binary stars
• Debris discs in binaries: morphology and photometric signatures
• GTC/CanariCam deep mid-infrared imaging survey of northern stars within 5 pc
• Predictions of the Nancy Grace Roman Space Telescope Galactic Exoplanet Survey. III. Detectability of Giant Exomoons of Wide Separation Giant Planets
• Testing the third body hypothesis in the Cataclysmic Variables LU Camelopardalis, QZSerpentis, V1007 Herculis and BK Lyncis
• Tidal evolution of circumbinary systems with arbitrary eccentricities: applications for Kepler systems
• Partial Averaging and Resonance Trapping in a Restricted Three-Body System
• Astrometric and photometric characterization of $\eta$ Tel B combining two decades of observations
• Extreme resonant eccentricity excitation of stars around merging black-hole binary
• Planet-planet scattering in presence of a companion star
• Stability of coorbital planets around binaries
• Orbits of the TOI-1338 and TIC-172900988 systems
• Orbit determination of the moons of the Pluto-Charon system
• Orbital Evolution of a Circumbinary Planet in a Gaseous Disk
• Massive evaluation and analysis of Poincaré recurrences on grids of initial data: a tool to map chaotic diffusion
• Direct Imaging Explorations for Companions around Mid-Late M Stars from the Subaru/IRD Strategic Program
• The Potential of Detecting Nearby Terrestrial Planets in the HZ with Different Methods
• Dynamical Fates of S-Type Planetary Systems in Embedded Cluster Environments
• Near-Infrared Imaging Survey of Faint Companions around Young Dwarfs in the Pleiades Cluster
• A Simple Analytical Formulation for Periodic Orbits in Binary Stars
• Companion Mass Limits for 17 Binary Systems Obtained with Binary Differential Imaging and MagAO/Clio
• On the stability of planetary orbits in binary star systems I. The S-type orbits
• An Imaging Search for Post-Main-Sequence Planets of Sirius B
• The PAIRS project: a global formation model for planets in binaries. II. Gravitational perturbation effects from secondary stars
• Glancing through the debris disk: Photometric analysis of DE Boo with CHEOPS
• Simulations of Triple Microlensing Events I: Detectability of a scaled Sun-Jupiter-Saturn System
• Planet migration in wind-fed accretion disks in binaries
• Survey of Orion Disks with ALMA (SODA) III: Disks in wide binary systems in L1641 and L1647
• Evolution of a migrating giant planet in the presence of an inclined binary companion
• Planetary migration in precessing disks for S-type wide binaries
• Evolution of Stellar Orbits Around Merging Massive Black-Hole Binary
• PHL 5038AB: Is the brown dwarf causing pollution of its white dwarf host star?
• The Formation of Double Hot Jupiter Systems through von Zeipel-Lidov-Kozai Migration
• Formation of wide-orbit gas giants near the stability limit in multi-stellar systems
• Moon-packing around an Earth-mass Planet
• Birth environment of circumbinary planets: are there CBPs on the inclined orbits?
• Planetary architectures under the influence of a stellar binary
• Creep Tide Model for the 3-Body Problem. The rotational evolution of a circumbinary planet
• Dynamical Stability of Polar Circumbinary Orbits and Planet-Formation in Planetary Disc of 99 Herculis
• Is our Sun a Singleton?
• Low Spin-Axis Variations of Circumbinary Planets
• Extrasolar Planet Interactions
• Investigating the System Configuration of Kepler-451 through Orbital Period Variations: Dynamical and Magnetic Interpretations
• Detecting Exoplanets Using Eclipsing Binaries as Natural Starshades
• The SPIRou Legacy Survey: Detection of a nearby world orbiting in the habitable zone of Gl725B achieved by correcting strong telluric contamination in near-infrared radial velocities with WAPITI
• Precise Physical Parameters, Habitability, and Orbital Stability of Sun-like SB2 Systems: HD 130669, HD 184467, HD 191854, and HD 214222
• Timing of eclipsing binary V0873 Per: a third body candidate
• TIC 172900988: A Transiting Circumbinary Planet Detected in One Sector of TESS Data
• Light equation in eclipsing binary CV Boo: third body candidate in elliptical orbit
• Life in the dark: Potential urability of moons of rogue planets
• Breaking the Mass Inclination Degeneracy of Radial Velocity Measurements via Monitoring von Zeipel-Lidov-Kozai Cycles: Implications in the HD 41004 System
• Planetary migration in wind-fed non-stationary accretion disks in binary systems
• The Number of Transits Per Epoch for Transiting Misaligned Circumbinary Planets
• Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically
• The morphology of CSCha circumbinary disk suggesting the existence of a Saturn-mass planet
• Constraining the orbit of the retrograde planet in the $\nu$ Octantis system
• BEBOP II: Sensitivity to sub-Saturn circumbinary planets using radial-velocities
• Where Not to Look: A Parametric Avoidance Model for SETI Target Selection
• Multiplicity Study of exoplanet host stars: The HD3651AB system
• Orbital Stability of Planets in Binary Systems: A New Look at Old Results
• KMT-2021-BLG-0322: Severe degeneracy between triple-lens and higher-order binary-lens interpretations
• A Pluto--Charon Sonata IV. Improved Constraints on the Dynamical Behavior and Masses of the Small Satellites
• Characterization of the Visual Binary TOI-6883AB and its dynamical implications for the planetary companion TOI-6883Ab
• Revisiting the dynamics of planets in binaries: evolutionary timescales and the effect of early stellar evolution
• Semi-analytical model for planetary resonances: application to planets around single and binary stars
• Gas and dust dynamics in $\gamma$ Cephei-type disks