626 research outputs found
Accretion disc dynamics in extreme mass ratio compact binaries
An analysis is presented of a numerical investigation of the dynamics and
geometry of accretion discs in binary systems with mass ratios q < 0.1,
applicable to ultra-compact X-ray binaries, AM CVn stars and very short period
cataclysmic variables. The steady-state geometry of the disc in the binary
reference frame is found to be quite different from that expected at higher
mass ratios. For q ~ 0.1, the disc takes on the usual elliptical shape, with
the major axis aligned perpendicular to the line of centres of the two stars.
However, at smaller mass ratios the elliptical gaseous orbits in the outer
regions of the disc are rotated in the binary plane. The angle of rotation
increases with gas temperature, but is found to vary inversely with q. At q =
0.01, the major axis of these orbits is aligned almost parallel to the line of
centres of the two stars. These effects may be responsible for the similar disc
structure inferred from Doppler tomography of the AM CVn star GP Com
(Morales-Rueda et al. 2003), which has q = 0.02. The steady-state geometry at
low mass ratios is not predicted by an inviscid, restricted three-body model of
gaseous orbits; it is related to the effects of tidal-viscous truncation of the
disc near the Roche lobe boundary. Since the disc geometry can be inferred
observationally for some systems, it is proposed that this may offer a useful
diagnostic for the determination of mass ratios in ultra-compact binaries.Comment: 17 pages, 9 figures, 7 in colour. Accepted for publication in MNRAS.
Plain article formatting to get round arXiv problems with mn2e.st
Secular interactions between inclined planets and a gaseous disk
In a planetary system, a secular particle resonance occurs at a location
where the precession rate of a test particle (e.g. an asteroid) matches the
frequency of one of the precessional modes of the planetary system. We
investigate the secular interactions of a system of mutually inclined planets
with a gaseous protostellar disk that may contain a secular nodal particle
resonance. We determine the normal modes of some mutually inclined planet-disk
systems. The planets and disk interact gravitationally, and the disk is
internally subject to the effects of gas pressure, self-gravity, and turbulent
viscosity. The behavior of the disk at a secular resonance is radically
different from that of a particle, owing mainly to the effects of gas pressure.
The resonance is typically broadened by gas pressure to the extent that global
effects, including large-scale warps, dominate. The standard resonant torque
formula is invalid in this regime. Secular interactions cause a decay of the
inclination at a rate that depends on the disk properties, including its mass,
turbulent viscosity, and sound speed. For a Jupiter-mass planet embedded within
a minimum-mass solar nebula having typical parameters, dissipation within the
disk is sufficient to stabilize the system against tilt growth caused by
mean-motion resonances.Comment: 30 pages, 6 figures, to be published in The Astrophysical Journa
Source to Accretion Disk Tilt
Many different system types retrogradely precess, and retrograde precession
could be from a tidal torque by the secondary on a misaligned accretion disk.
However, a source to cause and maintain disk tilt is unknown. In this work, we
show that accretion disks can tilt due to a force called lift. Lift results
from differing gas stream supersonic speeds over and under an accretion disk.
Because lift acts at the disk's center of pressure, a torque is applied around
a rotation axis passing through the disk's center of mass. The disk responds to
lift by pitching around the disk's line of nodes. If the gas stream flow ebbs,
then lift also ebbs and the disk attempts to return to its original
orientation.
To first approximation, lift does not depend on magnetic fields or radiation
sources but does depend on mass and the surface area of the disk. Also, for
disk tilt to be initiated, a minimum mass transfer rate must be exceeded. For
example, a disk around a 0.8 compact central
object requires a mass transfer rate greater than
Myr, a value well below known mass transfer
rates in Cataclysmic Variable Dwarf Novae systems that retrogradely precess and
that exhibit negative superhumps in their light curves and a value well below
mass transfer rates in protostellar forming systems
Forced oscillations in a hydrodynamical accretion disk and QPOs
This is the second of a series of papers aimed to look for an explanation on
the generation of high frequency quasi-periodic oscillations (QPOs) in
accretion disks around neutron star, black hole, and white dwarf binaries. The
model is inspired by the general idea of a resonance mechanism in the accretion
disk oscillations as was already pointed out by Abramowicz & Klu{\'z}niak
(\cite{Abramowicz2001}). In a first paper (P\'etri \cite{Petri2005a}, paper I),
we showed that a rotating misaligned magnetic field of a neutron star gives
rise to some resonances close to the inner edge of the accretion disk. In this
second paper, we suggest that this process does also exist for an asymmetry in
the gravitational potential of the compact object. We prove that the same
physics applies, at least in the linear stage of the response to the
disturbance in the system. This kind of asymmetry is well suited for neutron
stars or white dwarfs possessing an inhomogeneous interior allowing for a
deviation from a perfectly spherically symmetric gravitational field. We show
by a linear analysis that the disk initially in a cylindrically symmetric
stationary state is subject to three kinds of resonances: a corotation
resonance, a Lindblad resonance due to a driven force and a parametric sonance.
The highest kHz QPOs are then interpreted as the orbital frequency of the disk
at locations where the response to the resonances are maximal. It is also found
that strong gravity is not required to excite the resonances.Comment: Accepte
Hydrodynamic simulations of irradiated secondaries in dwarf novae
We investigate numerically the surface flow on the secondary star during
outbursts. We use a simple model for the irradiation and the geometry of the
secondary star: the irradiation temperature is treated as a free parameter and
the secondary is replaced by a spherical star with a space-dependent Coriolis
force that mimics the effect of the Roche geometry. The Euler equations are
solved in spherical coordinates with the TVD-MacCormack scheme. We show that
the Coriolis force leads to the formation of a circulation flow from high
latitude region to the close vicinity of the point. However no heat can
be efficiently transported to the region due to the rapid radiative
cooling of the hot material as it enters the equatorial belt shadowed from
irradiation. Under the assumption of hydrostatic equilibrium, the Coriolis
force could lead to a moderate increase of the mass transfer rate by pushing
the gas in the vertical direction at the point, but only during the
initial phases of the outburst (about 15 -- 20 orbital periods). We conclude
that the Coriolis force does not prevent a flow from the heated regions of the
secondary towards the region, at least during the initial phase of an
outburst, but the resulting increase of the mass transfer rate is moderate, and
it is unlikely to be able to account for the duration of long outbursts.Comment: 11 pages, 11 figures, accepted for publication in A&
A warped m=2 water maser disc in V778 Cyg?
The silicate carbon star V778 Cyg is a source of 22 GHz water maser emission
which was recently resolved by MERLIN. Observations revealed an elongated
S-like structure along which the velocities of the maser features show a linear
dependence on the impact parameter. This is consistent with a doubly-warped m=2
disc observed edge-on. Water masers and silicate dust emission (detected by
IRAS and ISO) have a common origin in O-rich material and are likely to be
co-located in the disc. We propose a detailed self-consistent model of a masing
gas-dust disc around a companion to the carbon star in a binary system, which
allows us to estimate the companion mass of 1.7 +- 0.1 M_sun, the disc radius
of 40 +-3 AU and the distance between companions of about 80 AU. Using a
dust-gas coupling model for water masing, we calculate the maser power
self-consistently, accounting for both the gas and the dust energy balances.
Comparing the simulation results with the observational data, we deduce the
main physical parameters of the masing disc, such as the gas and dust
temperatures and their densities. We also present an analysis of the stability
of the disc.Comment: 7 pages, 5 figures. This paper is accepted for publication in MNRA
Accretion Discs with an Inner Spiral Density Wave
In Montgomery (2009a), we show that accretion discs in binary systems could
retrogradely precess by tidal torques like the Moon and the Sun on a tilted,
spinning, non-spherical Earth. In addition, we show that the state of matter
and the geometrical shape of the celestial object could significantly affect
the precessional value. For example, a Cataclysmic Variable (CV) Dwarf Novae
(DN) non-magnetic system that shows negative superhumps in its light curve can
be described by a retrogradely precessing, differentially rotating, tilted
disc. Because the disc is a fluid and because the gas stream overflows the
tilted disc and particles can migrate into inner disc annuli, coupled to the
disc could be a retrogradely precessing inner ring that is located near the
innermost annuli of the disc. However, numerical simulations by Bisikalo et al.
(2003, 2004) and this work show that an inner spiral density wave can be
generated instead of an inner ring. Therefore, we show that retrograde
precession in non-magnetic, spinning, tilted CV DN systems can equally be
described by a retrogradely precessing and differentially rotating disc with an
attached retrogradely precessing inner spiral density wave so long as the wave
appears at the same radius as the ring and within the plane of the tilted disc.
We find that the theoretical results generated in this work agree well with the
theoretical results presented in Montgomery (2009a) and thus with the numerical
simulations and select CV DN systems in Montgomery (2009b) that may have a main
sequence secondary. Therefore, pressure effects do need to be considered in CV
DN systems that exhibit negative superhumps if the accretion discs are tilted
and have an inner spiral density wave that is in the plane of the disc
Evolution of Giant Planets in Eccentric Disks
We investigate the interaction between a giant planet and a viscous
circumstellar disk by means of high-resolution, two-dimensional hydrodynamical
simulations. We consider planet masses that range from 1 to 3 Jupiter masses
(Mjup) and initial orbital eccentricities that range from 0 to 0.4. We find
that a planet can cause eccentricity growth in a disk region adjacent to the
planet's orbit, even if the planet's orbit is circular. Disk-planet
interactions lead to growth in a planet's orbital eccentricity. The orbital
eccentricities of a 2 Mjup and a 3 Mjup planet increase from 0 to 0.11 within
about 3000 orbits. Over a similar time period, the orbital eccentricity of a 1
Mjup planet grows from 0 to 0.02. For a case of a 1 Mjup planet with an initial
eccentricity of 0.01, the orbital eccentricity grows to 0.09 over 4000 orbits.
Radial migration is directed inwards, but slows considerably as a planet's
orbit becomes eccentric. If a planet's orbital eccentricity becomes
sufficiently large, e > ~0.2, migration can reverse and so be directed
outwards. The accretion rate towards a planet depends on both the disk and the
planet orbital eccentricity and is pulsed over the orbital period. Planet mass
growth rates increase with planet orbital eccentricity. For e~0.2 the mass
growth rate of a planet increases by approximately 30% above the value for e=0.
For e > ~0.1, most of the accretion within the planet's Roche lobe occurs when
the planet is near the apocenter. Similar accretion modulation occurs for flow
at the inner disk boundary which represents accretion toward the star.Comment: 20 pages 16 figures, 3 tables. To appear in The Astrophysical Journal
vol.652 (December 1, 2006 issue
Three-dimensional Calculations of High and Low-mass Planets Embedded in Protoplanetary Discs
We analyse the non-linear, three-dimensional response of a gaseous, viscous
protoplanetary disc to the presence of a planet of mass ranging from one Earth
mass (1 M) to one Jupiter mass (1 M) by using the ZEUS hydrodynamics
code. We determine the gas flow pattern, and the accretion and migration rates
of the planet. The planet is assumed to be in a fixed circular orbit about the
central star. It is also assumed to be able to accrete gas without expansion on
the scale of its Roche radius. Only planets with masses M \gsim 0.1 M
produce significant perturbations in the disc's surface density. The flow
within the Roche lobe of the planet is fully three-dimensional. Gas streams
generally enter the Roche lobe close to the disc midplane, but produce much
weaker shocks than the streams in two-dimensional models. The streams supply
material to a circumplanetary disc that rotates in the same sense as the
planet's orbit. Much of the mass supply to the circumplanetary disc comes from
non-coplanar flow. The accretion rate peaks with a planet mass of approximately
0.1 M and is highly efficient, occurring at the local viscous rate. The
migration timescales for planets of mass less than 0.1 M, based on torques
from disc material outside the planets' Roche lobes, are in excellent agreement
with the linear theory of Type I (non-gap) migration for three-dimensional
discs. The transition from Type I to Type II (gap) migration is smooth, with
changes in migration times of about a factor of 2. Starting with a core which
can undergo runaway growth, a planet can gain up to a few M with little
migration. Planets with final masses of order 10 M would undergo large
migration, which makes formation and survival difficult.Comment: Accepted by MNRAS, 18 pages, 13 figures (6 degraded resolution).
Paper with high-resolution figures available at
http://www.astro.ex.ac.uk/people/mbate
Tidal Decay of Close Planetary Orbits
The 4.2-day orbit of the newly discovered planet around 51~Pegasi is formally
unstable to tidal dissipation. However, the orbital decay time in this system
is longer than the main-sequence lifetime of the central star. Given our best
current understanding of tidal interactions, a planet of Jupiter's mass around
a solar-like star could have dynamically survived in an orbit with a period as
short as hr. Since radial velocities increase with decreasing period,
we would expect to find those planets close to the tidal limit first and,
unless this is a very unusual system, we would expect to find many more. We
also consider the tidal stability of planets around more evolved stars and we
re-examine in particular the question of whether the Earth can dynamically
survive the red-giant phase in the evolution of the Sun.Comment: AAS LaTeX macros v.4, 14 pages, 2 postscript figures, also available
from http://ensor.mit.edu/~rasio/, to appear in Ap
- …