A radial limit on polar circumbinary orbits from general relativity

Abstract

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general relativity, the stationary inclination is inclined by 90 degrees to the binary angular momentum vector (aligned with the binary eccentricity vector) and does not depend on the particle semi-major axis. General relativity causes apsidal precession of the binary orbit. Close to the binary, the behaviour of the particle is not significantly affected, a librating particle precesses with the binary. However, we find that the stationary inclination and the minimum inclination required for libration both increase with the particle semi-major axis. There is a critical radius beyond which there are no librating orbits, only circulating orbits, and therefore there is a maximum orbital radius for a stationary polar orbiting body. The critical radius is within planet forming regions around binaries with semi-major axis <= 1 au. This has implications for the search for misaligned circumbinary planets and the radial extent of polar circumbinary disks.

arXiv commentAccepted for publication in ApJL

References in corpus (44)

• REBOUND: An open-source multi-purpose N-body code for collisional dynamics
• Kepler-16: A Transiting Circumbinary Planet
• IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
• WHFast: A fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long term gravitational simulations
• REBOUNDx: A Library for Adding Conservative and Dissipative Forces to Otherwise Symplectic N-body Integrations
• The tidally induced warping, precession and truncation of accretion discs in binary systems: three-dimensional simulations
• The Neptune-Sized Circumbinary Planet Kepler-38b
• Tearing up the disc: misaligned accretion on to a binary
• The Dynamics and Stability of Circumbinary Orbits
• High inclination orbits in the secular quadrupolar three-body problem
• The Circumbinary Ring of KH 15D
• 99 Herculis: Host to a Circumbinary Polar-ring Debris Disk
• The Degree of Alignment Between Circumbinary Disks and Their Binary Hosts
• Misaligned Disks in the Binary Protostar IRS 43
• Misaligned gas discs around eccentric black-hole binaries and implications for the final-parsec problem
• Polar alignment of a protoplanetary disk around an eccentric binary
• A circumbinary protoplanetary disc in a polar configuration
• Inclination Evolution of Protoplanetary Disks Around Eccentric Binaries
• The Eccentric Kozai-Lidov mechanism for Outer Test Particle
• Uncovering Circumbinary Planetary Architectural Properties from Selection Biases
• High Inclination Planets in Multistellar Systems
• The BEBOP radial-velocity survey for circumbinary planets I. Eight years of CORALIE observations of 47 single-line eclipsing binaries and abundance constraints on the masses of circumbinary planets
• Linear Analysis of the Evolution of Nearly Polar Low Mass Circumbinary Discs
• Circumbinary planets - why they are so likely to transit
• Locating the Trailing Edge of the Circumbinary Ring in the KH 15D System
• Planet formation and stability in polar circumbinary discs
• Polar alignment of a protoplanetary disc around an eccentric binary II: Effect of binary and disc parameters
• Orbital dynamics of circumbinary planets
• Polar alignment of a protoplanetary disc around an eccentric binary III: Effect of disc mass
• Circumbinary planets II - when transits come and go
• Polar planets around highly eccentric binaries are the most stable
• A new paradigm for reproducing and analyzing N-body simulations of planetary systems
• Formation of the polar debris disc around 99 Herculis
• On the global warping of a thin self-gravitating near Keplerian gaseous disk with application to the disk in NGC 4258
• Kozai-Lidov cycles towards the limit of circumbinary planets
• Internal Structure and Apsidal Motions of Polytropic Stars in Close Binaries
• Effects of an eccentric inner Jupiter on the dynamical evolution of icy body reservoirs in a planetary scattering scenario
• The role of the general relativity on icy body reservoirs under the effects of an inner eccentric Jupiter
• Distinguishing Polar and Co-planar Circumbinary Exoplanets by Eclipsing Timing Variations
• Formation of polar terrestrial circumbinary planets
• The non-resonant, relativistic dynamics of circumbinary planets
• Circumbinary disk evolution in the presence of an outer companion star
• Secular dynamics of binaries in stellar clusters -- III. Doubly-averaged dynamics in the presence of general relativistic precession
• Could there be an undetected inner planet near the stability limit in Kepler-1647?

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