arXiv subjects

Stephen H. Lubow

Publications and source records attributed to Stephen H. Lubow.

At least 19 recordsLinked to original sources

arXiv2026

On the formation of retrograde S-type planets in binaries with a polar circumbinary disk

Retrograde S-type planets have been observed in several binary systems, yet their formation pathway remains poorly understood. With high-resolution hydrodynamic simulations, we demonstrate that a polar circumbinary disk around an eccentric, unequal-mass binary can form and sustain a retrograde mini disk around the primary star. This provides a direct in-situ formation channel for retrograde S-type planets. The mini disk forms via a sub-Keplerian accretion stream that is slightly misaligned from the polar disk. The mini disk initially undergoes von Zeipel-Kozai-Lidov (ZKL) oscillations, driving coupled eccentricity and inclination evolution. Rather than oscillating indefinitely, the inner mini disk evolves past the critical ZKL inclination, decouples from the outer disk, and settles into a stable retrograde orbit. This evolution is sensitive to numerical resolution: the retrograde configuration is absent in previous lower-resolution simulations, where the mini disk accretion timescale is too short to sustain ZKL-driven evolution. For a higher disk viscosity, the mini disk remains near-polar due to a shorter accretion timescale. Since protoplanetary disks typically have low viscosity, our results suggest that retrograde S-type planets can form in-situ from retrograde mini disks around polar circumbinary disks, and their occurrence rate may be higher than currently estimated.

astro-ph.EP↗

arXiv2026

Positive superhumps in high mass ratio cataclysmic variables driven by apsidal disk precession

Previously it has been assumed that a cataclysmic variable (CV) disk can only become eccentric and display superhumps if the 3:1 resonance is located within the disk. This requires the binary mass ratio to be $q=M_2/M_1\lesssim 0.33$, where $M_1$ is the mass of the white dwarf and $M_2$ is the mass of the companion star. However, several systems with higher mass ratios have been observed to exhibit positive superhumps, posing a challenge to this picture. We present the first 3D hydrodynamic simulations to show that eccentricity growth can occur in CV disks even when the resonance radius lies outside the disk. The finite width of the 3:1 resonance extends into the outer parts of the disk and drives eccentricity. While high mass ratio CVs more commonly show negative superhumps, our linear analysis reveals that the direction of apsidal precession is highly sensitive to the disk outer radius and surface density distribution. Smoothed particle hydrodynamic simulations tend to suppress eccentricity gradients and favor prograde precession. These results provide a natural explanation for positive superhumps in high mass ratio CVs and show that disk structure, rather than the resonance location alone, controls the emergence of superhumps.

astro-ph.SR↗

arXiv2026

The Eccentric Disk Model for Superhumps

An important goal of the disk instability model is to explain the superhump phenomenon. Superhumps are features found in the light curves of binary systems, characterized by a period slightly different from the binary orbital period. In cases where the superhump period is longer than the orbital period (positive superhumps), they have been interpreted as arising from an eccentric, precessing disk. This paper reviews the theory and simulations that indicate that the disk's eccentricity originates from a dynamical instability at the 3:1 resonance. The instability is described by a mode-coupling process involving the interaction of the disk eccentricity with the binary tidal potential. This instability provides critical constraints on the nature of the disk turbulence that enables the disk to reach this resonance.

astro-ph.SR↗

arXiv2026

Negative superhumps in cataclysmic variables driven by retrograde apsidal disk precession

Negative superhumps are photometric modulations in cataclysmic variables with periods slightly shorter than the orbital period. They are usually attributed to retrograde nodal precession of a tilted accretion disk, although the origin and persistence of the tilt remains unexplained. We propose instead that negative superhumps arise from retrograde apsidal precession of an eccentric disk. Using linear eccentric disk theory, we show that the direction of apsidal precession is highly sensitive to disk size and temperature, and that pressure effects can drive retrograde precession even in cool disks. In low mass ratio systems where the 3:1 resonance is within the disk, disk expansion during outbursts may produce opposite precession directions in the inner and outer disk, allowing the temporary coexistence of positive and negative superhumps, and driving dissipation in an extended superoutburst. In higher mass ratio systems where the resonance location is outside of the disk, the resonance width can still extend into the outer parts of the disk, excite eccentricity, and drive apsidal precession. This mechanism explains the prevalence of negative superhumps across a wide range of mass ratios and accretion states, without requiring a long-lived disk tilt. It may also explain how positive superhumps can occur in high mass ratio systems if the disk density builds up in the outer parts of the disk.

astro-ph.SR↗

arXiv2025

Primordial planet spin driven by boundary layer effects in a decretion disc

Accretion of material from a protoplanetary disc on to a forming giant planet can spin the planet up to close to its breakup rate, $Ω_{\rm b}=(G M_{\rm p}/R_{\rm p}^3)$, where $M_{\rm p}$ is the mass and $R_{\rm p}$ is the radius of the planet. After the protoplanetary disc dissipates, the rapidly rotating planet may eject a decretion (outflowing) disc in a similar way to a Be star. Boundary layer effects in a hydrodynamic disc allow for decretion disc formation at spin rates below the breakup spin rate of the planet. The decretion disc exerts a torque on the planet that slows its spin to an equilibrium value that is sensitive to the planet temperature. By considering steady state circumplanetary decretion disc solutions, we show that the equilibrium spin rate for planets is around $0.4\,Ω_{\rm b}$ for $H/R=0.2$ and around $0.2\,Ω_{\rm b}$ for $H/R=0.3$, where $H$ is the disc scale height at radius $R$. These values are in line with the spins of the giant planets in the solar system and observed exoplanet spins.

astro-ph.EP↗

arXiv2025

Planet-disc interactions around eccentric binaries and misaligned ring formation

We explore the evolution of a giant planet that interacts with a circumbinary disc that orbits a misaligned binary by means of analytic models and hydrodynamical simulations. Planet-disc interactions lead to mutual tilt oscillations between the planet and the disc. Even if circumbinary gas discs form with an isotropic mutual misalignment to the binary, planet-disc interactions can cause giant planets to evolve towards coplanar or polar alignment. For a low-mass disc, the binary dominates the dynamical evolution of the planet leading to a wide range of circumbinary planet inclinations. For a high-mass disc, the disc dominates the dynamical evolution of the planet and planet inclinations move towards coplanar or polar alignment to the binary orbit, depending upon the initial disc inclination and the binary eccentricity. In addition, for a high-mass disc ($\sim 50\, M_{\rm p}$) and a high initial disc inclination, the planet can undergo Kozai-Lidov oscillations that can result in the planet being ejected from the system. For initially highly misaligned systems, the non-coplanarity of the planet and the disc can lead to long-lived inner misaligned disc rings that can become highly eccentric.

astro-ph.EP↗

arXiv2025

The fraction of polar aligned circumbinary disks

Circumbinary gas disks that are misaligned to the binary orbital plane evolve toward either a coplanar or a polar-aligned configuration with respect to the binary host. The preferred alignment depends on the dynamics of the disk: whether it undergoes librating or circulating nodal precession, with librating disks evolving to polar inclinations and circulating disks evolving to coplanar. We quantify the fraction of binary star systems whose disks are expected to have polar orbits $f_\text{polar}$, extending previous work to include disks with non-zero mass. Our results suggest that, for low mass disks, the polar fraction is highly sensitive to the distribution of binary eccentricity with a higher fraction expected for higher binary eccentricities, $f_{\rm polar}\sim e_{\rm b}$. However, for massive discs, the fraction is independent of the binary eccentricity and $f_{\rm polar}\approx 0.37$. The value of $f_\text{polar}$ is always reduced in a population with a greater preference for low initial mutual inclination. We also explore the consequences of the finite lifetime and non-zero radial extent of a real disk, both of which affect a disk's ability to complete its evolution to a stationary configuration. Our findings can be used to make predictions given populations with well-understood distributions of binary eccentricity, initial mutual inclination, and disk angular momentum.

astro-ph.EP↗

arXiv2025

Excitation of post-AGB Star Binary Eccentricity by Massive Polar-Aligned Circumbinary Disks

Many post-AGB star binaries are observed to have relatively high orbital eccentricities (up to 0.6). Recently, AC Her was observed to have a polar-aligned circumbinary disk. We perform hydrodynamic simulations to explore the impact of a polar-aligned disk on the eccentricity of a binary. For a binary system with central masses of 0.73 M_sun and 1.4 M_sun, we find that a disk with a total mass of 0.1 M_sun can enhance the binary eccentricity from 0.2 to 0.7 within 5000 years, or from 0.01 to 0.65 within 15000 years. Even if the disk mass is as low as 0.01 M_sun, the binary eccentricity grows within our simulation time while the system remains stable. These eccentricity variations are associated with the variations of the inclination between the disk and the binary orbit due to von Zeipel-Kozai-Lidov oscillations. The oscillations eventually damp and leave the binary eccentricity at a high value. The numerical results are in good agreement with analytical estimates. In addition, we examine the AC-Her system and find that the disk mass should be on the order of 10^(-3)M_sun for the disk to remain polar.

astro-ph.SR↗

arXiv2025

The Laplace Surface of a Circumplanetary Disc

The classical Laplace surface defines the location of circular particle orbits that do not undergo nodal precession around a planet with some obliquity. Close to the planet the surface coincides with the equator of the planet, while far from the planet it coincides with the orbital plane of the planet. We determine the shape of the Laplace surface of a circumplanetary disc that results from accretion of circumstellar gas and experiences the effects of gas pressure, self-gravity, and viscosity, as well as the gravitational effects due to the planetary spin and the star. We apply the linear theory of warped discs in the wavelike regime for a small-obliquity planet such as Jupiter. As a result of dissipation, a disc that begins slightly away from its Laplace surface will evolve to it. Because of pressure effects in typically warm circumplanetary discs, the disc is highly flattened compared with the classical Laplace surface, meaning that it is much less warped but still significantly tilted. For the case of Jupiter, the disc does not align anywhere with the equator of the planet. For such discs, the effects of self-gravity and viscosity on warping are typically small. The disc tilt is intermediate between the planet's equatorial and orbital planes. Circumplanetary discs that are much cooler than expected can undergo warping and alignment with the planet's equator at small radii. The results have implications for the orbital evolution of satellites in the solar system that are observed to be somewhat aligned with their classical Laplace surface.

astro-ph.EP↗

arXiv2025

Disc breaking through forced eccentricity growth

Motivated by misaligned discs observed in eccentric orbit Be/X-ray binaries, we examine the evolution of a retrograde disc around one component of an eccentric binary with hydrodynamic simulations, $n$-body simulations and linear theory. Forced eccentricity growth from the eccentric orbit binary causes the initially circular disk to undergo eccentricity oscillations. A retrograde disc becomes more radially extended, more highly eccentric and undergoes more rapid apsidal precession compared to a prograde disc. We find that a retrograde disc can be subject to disc breaking where the disc forms two rings with different eccentricities and longitude of periastrons while remaining coplanar. This could have implications for the lightcurves and the X-ray outbursts observed in Be/X-ray binaries.

astro-ph.SR↗

arXiv2025

Polar circumtriple planets and disks around misaligned hierarchical triple stars

Observations of hierarchical triple star systems show that misalignments are common both between the angular momentum vector of the inner binary and the outer companion orbit, and between the outer binary orbit and a circumtriple gas disk. With analytic methods and n-body simulations we explore the dynamics of circumtriple orbits around a misaligned hierarchical triple star. Circumtriple test particle orbits nodally precess either about the outer binary angular momentum vector (circulating orbits) or about a stationary inclination that depends upon the binary properties (librating orbits). For a coplanar (or retrograde coplanar) triple star, the apsidal precession rate is maximal and the critical orbital radius outside of which all orbits are circulating is minimal. Polar alignment of a circumtriple gas disk requires nodal libration and therefore it can be more likely if there is a large misalignment between the inner and outer binary orbits. There are two values of the mutual misalignment, i_c and 180-i_c, for which the apsidal precession rate of the triple star is zero and polar alignment is possible at all orbital radii. For a circular inner binary orbit i_c=55, and it changes with eccentricity of the inner binary while being insensitive to other triple star parameters.

astro-ph.EP↗

arXiv2025

Formation of Be star decretion discs through boundary layer effects

Be stars are rapidly rotating, with angular frequency around $0.7-0.8$ of their Keplerian break up frequency, as a result of significant accretion during the earlier stellar evolution of a companion star. Material from the equator of the Be star is ejected and forms a decretion disc, although the mechanism for the disc formation has remained elusive. We find one-dimensional steady state decretion disc solutions that smoothly transition from a rapidly rotating star that is in hydrostatic balance. Boundary layer effects in a geometrically thick disc which connects to a rotationally flattened star enable the formation of a decretion disc at stellar spin rates below the break up rate. For a disc with an aspect ratio $H/R\approx 0.1$ at the inner edge, the torque from the disc on the star slows the stellar spin to the observed range and mass ejection continues at a rate consistent with observed decretion rates. The critical rotation rate, to which the star slows down to, decreases as the disc aspect ratio increases. More generally, steady state accretion and decretion disc solutions can be found for all stellar spin rates. The outcome for a particular system depends upon the balance between the decretion rate and any external infall accretion rate.

astro-ph.SR↗

arXiv2024

Shedding light on the origin of the broken misaligned circumtriple disk around GW Ori

We revisit the origin of the observed misaligned rings in the circumtriple disk around GW Ori. Previous studies appeared to disagree on whether disk breaking is caused by the differential precession driven in the disk by the triple star system. In this letter, we show that the previous studies are in agreement with each other when using the same set of parameters. But for observationally motivated parameters of a typical protoplanetary disk, the disk is unlikely to break due to interactions with the triple star system. We run 3-dimensional hydrodynamical simulations of a circumtriple disk around GW Ori with different disk aspect ratios. For a disk aspect ratio typical of protoplanetary disks, $H/r \gtrsim 0.05$, the disk does not break. An alternative scenario for the gap's origin consistent with the expected disk aspect ratio involves the presence of giant circumtriple planets orbiting GW Ori.

astro-ph.EP↗

arXiv2024

Decretion disc size in Be/X-ray binaries depends upon the disc aspect ratio

With three-dimensional hydrodynamical simulations we show that the size of the decretion disc and the structure of the accretion flow onto the neutron star in a Be/X-ray binary strongly depends upon the disc aspect ratio, $H/R$. We simulate a Be star disc that is coplanar to the orbit of a circularly or moderately eccentric neutron star companion, thereby maximising the effects of tidal truncation. For low disc aspect ratio, $H/R\lesssim 0.1$, the disc is efficiently tidally truncated by the neutron star. Most material that escapes the Roche lobe of the Be star is accreted by the neutron star through tidal streams. For larger disc aspect ratio, the outflow rate through the Be star disc is higher, tidal truncation becomes inefficient, the disc fills the Roche lobe and extends to the orbit of the companion. Some material escapes the binary as a gas stream that begins near the L2 point. While the accretion rate onto the neutron star is higher, the fraction of the outflow that is accreted by the neutron star is smaller. Low density Be star discs are expected to be approximately isothermal, such that $H/R$ increases with radius. Tidal truncation is therefore weaker for larger separation binaries, and lower mass primaries.

astro-ph.HE↗

arXiv2024

Inclination instability of circumbinary planets

We analyze a tilt instability of the orbit of an outer planet in a two planet circumbinary system that we recently reported. The binary is on an eccentric orbit and the inner circumbinary planet is on a circular polar orbit that causes the the binary to undergo apsidal precession. The outer circumbinary planet is initially on a circular or eccentric orbit that is coplanar with respect to the binary. We apply a Hamiltonian in quadrupole order of the binary potential to show that the tilt instability is the result of a secular resonance in which the apsidal precession rate of the binary matches the nodal precession rate of the outer planet. Resonance is possible because the polar inner planet causes the apsidal precession of the binary to be retrograde. The outer planet periodically undergoes large tilt oscillations for which we analytically determine the initial evolution and maximum inclination. Following a typically relatively short adjustment phase, the tilt grows exponentially in time at a characteristic rate that is of order the absolute value of the binary apsidal precession rate. The analytic results agree well with numerical simulations. This instability is analogous to the Kozai-Lidov instability, but applied to a circumbinary object. The instability fails to operate if the binary mass ratio is too extreme. The instability occurs even if the outer planet is instead an object of stellar mass and involves tilt oscillations of the inner binary.

astro-ph.EP↗

arXiv2023

Relativistic Effects on Circumbinary Disk Evolution: Breaking the Polar Alignment around Eccentric Black Hole Binary Systems

We study the effects of general relativity (GR) on the evolution and alignment of circumbinary disks around binaries on all scales. We implement relativistic apsidal precession of the binary into the hydrodynamics code {\sc phantom}. We find that the effects of GR can suppress the stable polar alignment of a circumbinary disk, depending on how the relativistic binary apsidal precession timescale compares to the disk nodal precession timescale. Studies of circumbinary disk evolution typically ignore the effects of GR which is an appropriate simplification for low mass or widely separated binary systems. In this case, polar alignment occurs providing that the disks initial misalignment is sufficiently large. However, systems with a very short relativistic precession timescale cannot polar align and instead move toward coplanar alignment. In the intermediate regime where the timescales are similar, the outcome depends upon the properties of the disk. Polar alignment is more likely in the wavelike disk regime (where the disk viscosity parameter is less than the aspect ratio, $α<H/r$) since the disk is in good radial communication. In the viscous disk regime disk breaking is more likely. Multiple rings can destructively interact with one another resulting in short disk lifetimes, and the disk moving towards coplanar alignment. Around main-sequence star or stellar mass black hole binaries, polar alignment may be suppressed far from the binary but in general the inner parts of the disk can align to polar. Polar alignment may be completely suppressed for disks around supermassive black holes for close binary separations.

astro-ph.HE↗

arXiv2023

Retrograde discs around one component of a binary are unstable to tilting

With hydrodynamic simulations we show that a coplanar disc around one component of a binary can be unstable to global tilting when the disc orbits in a retrograde direction relative to the binary. The disc experiences the largest inclination growth relative to the binary orbit in the outermost radii of the disc, closest to the companion. This tilt instability also occurs for test particles. A retrograde disc is much larger than a prograde disc since it is not tidally truncated and instead spreads outwards to the orbit of the companion. The coplanar retrograde disc remains circular while a coplanar prograde disc can become eccentric. We suggest that the inclination instability is due to a disc resonance caused by the interaction of the tilt with the tidal field of the binary. This model is applicable to Be/X-ray binaries in which the Be star disc may be retrograde relative to the binary orbit if there was a sufficiently strong kick from the supernova that formed the neutron star companion. The accretion on to the neutron star and the resulting X-ray outbursts are weaker in the retrograde case compared to the prograde case.

astro-ph.SR↗

arXiv2023

AC Her: Evidence of the first polar circumbinary planet

We examine the geometry of the post-asymptotic giant branch (AGB) star binary AC Her and its circumbinary disk. We show that the observations describe a binary orbit that is perpendicular to the disk with an angular momentum vector that is within $9^\circ$ of the binary eccentricity vector, meaning that the disk is close to a stable polar alignment. The most likely explanation for the very large inner radius of the dust is a planet within the circumbinary disk. This is therefore both the first reported detection of a polar circumbinary disk around a post-AGB binary and the first evidence of a polar circumbinary planet. We consider the dynamical constraints on the circumbinary disk size and mass. The polar circumbinary disk feeds circumstellar disks with gas on orbits that are highly inclined with respect to the binary orbit plane. The resulting circumstellar disk inclination could be anywhere from coplanar to polar depending upon the competition between the mass accretion and binary torques.

astro-ph.EP↗