Enhanced Lidov-Kozai migration and the formation of the transiting giant planet WD1856+534b

Abstract

We investigate the possible origin of the transiting giant planet WD1856+534b, the first strong exoplanet candidate orbiting a white dwarf, through high-eccentricity migration (HEM) driven by the Lidov-Kozai (LK) effect. The host system's overall architecture is an hierarchical quadruple in the '2+2' configuration, owing to the presence of a tertiary companion system of two M-dwarfs. We show that a secular inclination resonance in 2+2 systems can significantly broaden the LK window for extreme eccentricity excitation ($e\gtrsim 0.999$), allowing the giant planet to migrate for a wide range of initial orbital inclinations. Octupole effects can also contribute to the broadening of this 'extreme' LK window. By requiring that perturbations from the companion stars be able to overcome short-range forces and excite the planet's eccentricity to $e\simeq 1$, we obtain an absolute limit of $a_1\gtrsim 8\mathrm{AU}(a_3/1500\mathrm{AU}{)}^{6/7}$ for the planet's semi-major axis just before migration (where $a_3$ is the semi-major axis of the 'outer' orbit). We suggest that, to achieve a wide LK window through the 2+2 resonance, WD1856b likely migrated from $30\mathrm{AU}\lesssim a_1\lesssim 60\mathrm{AU}$, corresponding to $\sim 10$--$20\mathrm{AU}$ during the host's main-sequence phase. We discuss possible difficulties of all flavours of HEM affecting the occurrence rate of short-period giant planets around white dwarfs.

8 pages, 4 figures, 1 table; MNRAS 501 (2021) 507-514

References in corpus (21)

• The NumPy array: a structure for efficient numerical computation
• The frequency of planetary debris around young white dwarfs
• The Initial-Final Mass Relation: Direct Constraints at the Low Mass End
• Foretellings of Ragnarök: World-engulfing Asymptotic Giants and the Inheritance of White Dwarfs
• Suppression of extreme orbital evolution in triple systems with short range forces
• Hot Jupiters from Coplanar High-eccentricity Migration
• Steady-state planet migration by the Kozai-Lidov mechanism in stellar binaries
• A Giant Planet Candidate Transiting a White Dwarf
• Accretion of a giant planet onto a white dwarf
• Detectable close-in planets around white dwarfs through late unpacking
• The unbiased frequency of planetary signatures around single and binary white dwarfs using $Spitzer$ and $Hubble$
• Planetary engulfment as a trigger for white dwarf pollution
• Chaotic Tides in Migrating Gas Giants: Forming Hot and Transient Warm Jupiters via High-Eccentricity Migration
• White dwarf pollution by planets in stellar binaries
• Secular chaotic dynamics in hierarchical quadruple systems, with applications to hot Jupiters in stellar binaries and triples
• The Occurrence of Wide-Orbit Planets in Binary Star Systems
• Formation of Hot Jupiters through Secular Chaos and Dynamical Tides
• The occurrence of planets and other substellar bodies around white dwarfs using K2
• A search for planetary eclipses of white dwarfs in the Pan-STARRS1 medium-deep fields
• Giant Planets, Tiny Stars: Producing Short-Period Planets around White Dwarfs with the Eccentric Kozai-Lidov Mechanism
• Kozai Migration Naturally Explains the White Dwarf Planet WD1856b

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• Planetary Systems Around White Dwarfs
• Do instabilities in high-multiplicity systems explain the existence of close-in white dwarf planets?
• Giant planet engulfment by evolved giant stars: light curves, asteroseismology, and survivability
• Successive common envelope events from multiple planets
• Secular chaos in white-dwarf planetary systems: origins of metal pollution and short-period planetary companions
• A red giant branch common envelope evolution scenario for the exoplanet WD 1856 b
• 10,000 Resolved Triples from Gaia: Empirical Constraints on Triple Star Populations
• The Influence of Tidal Heating on the Habitability of Planets Orbiting White Dwarfs
• Hydrodynamics and survivability during post-main-sequence planetary engulfment
• Can Gaia find planets around white dwarfs?
• On the pollution of white dwarfs by exo-Oort cloud comets
• A transmission spectrum of the planet candidate WD 1856+534 b and a lower limit to its mass
• Gemini/GMOS Transmission Spectroscopy of the Grazing Planet Candidate WD 1856+534 b
• Mergers prompted by dynamics in compact, multiple-star systems: a stellar-reduction case for the massive triple TIC 470710327
• Extremely Inclined Orbit of S-type Planet $\gamma$ Cep Ab Induced by Eccentric Kozai-Lidov Mechanism
• The post-main-sequence fate of the HR 8799 planetary system
• Librating Kozai-Lidov Cycles with a Precessing Quadrupole Potential are Analytically Approximately Solved
• Gaia0007-1605: an old triple system with an inner brown dwarf-white dwarf binary and an outer white dwarf companion
• Analytic understanding of the resonant nature of Kozai Lidov Cycles with a precessing quadrupole potential
• Potential for life to exist and be detected on Earth-like planets orbiting white dwarfs
• TTV Constraints on Additional Planets in the WD 1856+534 system
• Rapid expansion of red giant stars during core helium flash by waves propagation to the envelope and implications to exoplanets
• Two substellar survivor candidates; one found and one missing
• Small and Close-In Planets are Uncommon Around A-type Stars
• Common envelope evolution and triple dynamics as potential pathways to form the inner white dwarf + brown dwarf binary of the triple star system Gaia 0007-1605
• Aerosols and hydrocarbons in the atmosphere of a white dwarf planet
• Partial disruption of a planet around a white dwarf: the effect of perturbation from the remnant planet on the accretion
• The Formation of Double Hot Jupiter Systems through von Zeipel-Lidov-Kozai Migration
• Short-Range Forces Can Catalyze Extreme Orbital Evolution in Hierarchical Triples
• Atmospheric Signatures of Common Envelope Evolution in White Dwarf Planets