A&A 493, 299-308 (2009)
DOI: 10.1051/0004-6361:200810706
R. Smith1 - L. J. Churcher1 - M. C. Wyatt1 - M. M. Moerchen2,3 - C. M. Telesco2
1 - Institute of Astronomy (IoA), University of Cambridge, Madingley Road, Cambridge, CB3 0HA, UK
2 -
Department of Astronomy, University of Florida, 211 Bryant Space Science Center, PO Box 112055,
Gainesville, FL, 32611-2055, USA
3 -
European Southern Observatory, Alonso de Cordova 3107, Casilla 19001, Vitacura, Santiago 19, Chile
Received 29 July 2008 / Accepted 30 October 2008
Abstract
Aims. Sixty percent of the A star members of the 12 Myr old
Pictoris moving group (BPMG) show significant excess emission in the mid-infrared, several million years after the proto-planetary disc is thought to disperse. Theoretical models suggest this peak may coincide with the formation of Pluto-sized planetesimals in the disc, stirring smaller bodies into collisional destruction. Here we present resolved mid-infrared imaging of the disc of
Tel (A0V in the BPMG) and consider its implications for the state of planet formation in this system.
Methods. The source was observed at 11.7 and 18.3 m using T-ReCS on Gemini South. The resulting images were compared to simple disc models to constrain the radial distribution of the emitting material.
Results. The emission observed at 18.3 m is shown to be significantly extended beyond the PSF along a position angle
.
This is the first time dust emission has been resolved around
Tel. Modelling indicates that the extension arises from an edge-on disc of radius 0.5 arcsec (
24 AU). Combining the spatial constraints from the imaging with those from the spectral energy distribution shows that >50% of the 18
m emission comes from an unresolved dust component at
4 AU.
Conclusions. The radial structure of the
Tel debris disc is reminiscent of the Solar System, suggesting that this is a young Solar System analogue. For an age of 12 Myr, both the radius and dust level of the extended cooler component are consistent with self-stirring models for a protoplanetary disc of 0.7 times minimum mass solar nebula. The origin of the hot dust component may arise in an asteroid belt undergoing collisional destruction or in massive collisions in ongoing terrestrial planet formation.
Key words: circumstellar matter - infrared: stars - planetary systems - stars: individual:
Telescopii
Debris discs around nearby stars are often discovered through the detection of emission beyond that predicted to come from the stellar photosphere in the infrared or sub-millimeter (see Wyatt 2008, for a recent review). The detected emission arises from the absorption and subsequent re-emission of starlight at longer wavelengths by dust particles in the discs. These dust grains are believed to be continuously reproduced by the collisional destruction and/or sublimation of larger bodies (planetesimals), as the lifetimes of such small grains due to removal by radiation pressure or Poynting-Robertson (P-R) drag are small compared to the age of the star (Backman & Paresce 1993). Studying these debris discs can give clues about how the circumstellar region has evolved during the star's formation and subsequent lifetime, how any planetary system around the star may have formed and evolved, and the current status of the system (see e.g., Wyatt et al. 1999).
The star
Tel (HD 181296) is an A0Vn member of the
Pictoris moving group, with an age estimated to be 12
+8-4 Myr
(age estimated for moving group in Zuckerman et al. 2001).
It has an M7/8V companion at an offset of 4
at a position angle of
160
to the star (Lowrance et al. 2000). Hipparcos listed parallax measurements put this system at a distance of 48 pc, giving a projected offset of 192 AU for the companion.
Backman & Paresce (1993) first identified this star as a debris disc candidate
based on IRAS measurements which indicate that excess emission is
present at 12, 25 and 60
m. The excess measurement at 12
m is particularly rare (Aumann & Probst 1991), as debris discs are more typically characterised by dust at several 10 s of AU
which is too cool to emit at 12
m. Indeed the majority of
A star sources with disc emission resolved at thermal wavelengths
have discs extended on 100 s of AU scales (
Pic, HR4796A, 49 Ceti, HD 141596 and HD 32297, Jayawardhana et al. 1998; Wahhaj et al. 2007; Fisher et al. 2000; Backman & Paresce 1993; Moerchen et al. 2007a).
Nevertheless, examples of A stars with dust confirmed to lie within
10 AU are known (e.g.,
Lep, Moerchen et al. 2007b), and there
remains debate as to whether such hot emission can originate in the steady-state destruction
of planetesimal belts (Wyatt et al. 2007b) or in collisions between
growing protoplanets that are expected during terrestrial planet
formation (Kenyon & Bromley 2002). Chen et al. (2006) presented IRS observations
of
Tel showing that the excess emission cannot be fit by a
single temperature of dust as the spectrum is too flat.
They interpret this as evidence for two temperatures of dust, but from the emission spectrum alone it is not possible to tell if this arose from dust in two separate radial
locations around the star, or alternatively two different grain
populations at the same radial location. The aim of this paper is to
use resolved imaging of the disc to allow a differentiation between
these alternatives. In addition these images will confirm
that the excess emission is in fact centred on the primary star and
not the binary, although due to the brightness of the 12
m flux it
is unlikely that the emission arises from dust around the M7/8
companion.
The age of this system and membership of the moving group make it very
interesting in terms of evolutionary studies of debris discs.
Recent work by Currie et al. (2007) has shown that excess emission at 24 m
around A stars increases from 5-10 Myr, peaks around 10-15 Myr and
then declines with age. The cause of the peak is not yet known (see review in Wyatt 2008), but is suggested to be the delayed formation of Pluto-sized bodies further from the star, as these bodies are necessary to stir the disc so that collisions are destructive thus
releasing large quantities of dust (Kenyon & Bromley 2004). The 12 Myr
Pictoris moving group has 5 A star members, 3 of which are known to have debris discs that exhibit excess emission in the mid-infrared (
Pictoris, HD 172555 and
Tel; Chen et al. 2006; Rebull et al. 2008),
and the proximity of this group means it offers the chance
to assess the origin and diversity of the peak.
Here we present 11.7 and 18.3 m imaging of
Tel taken with the T-ReCS instrument on Gemini South which shows a resolved debris disc at 18.3
m.
We confront these observations with models to determine the optimal disc
parameters and discuss the implications of the inferred structure for the
status of planet formation in this system, both by comparison with
the self-stirred models of Kenyon & Bromley (2004) and with our understanding of
the early Solar System.
The source was observed under proposal GS-2007A-Q-45 using T-ReCS
on Gemini South with
filter Qa (
m,
m) and
Si-5 (
m,
m),
which we refer to as Qa and Si-5 observations henceforth. The
pixel scale of the T-ReCS imager is 0
09 with a total field of
view of
.
The observations were taken in
parallel chop-nod mode with a chop throw of 10
and chop
position angle of 55
(East of North) at Q, 100
at N.
The Qa observations were taken over two consecutive
nights (1
and 2
July 2007), with the Si-5
observations taken on one night only (12
July 2007).
Total integration time was 9120 s (4560 s on source) at Qa, and 912 s (456 s on source) at Si-5.
Observations of standard stars HD 196171 (spectral type K0III)
and HD 179886 (spectral type K3III), both listed in Cohen et al. (1999),
were made to calibrate the photometry and also determine the PSF of the
observations. The order of observations and integration times are shown in Table 1.
These data for
Tel were taken in multiples of 304 s-long
integrations, each consisting of 7 complete nod cycles (ABBA). The data
were reduced using custom routines described in Smith et al. (2008). Data
reduction involved determination of a gain map using the mean values of each frame to determine pixel responsivity (masking off pixels on which emission from the source could fall,
equivalent to a sky flat). In addition a dc-offset was determined by calculating the mean pixel
values in columns and rows (excluding pixels on which source emission
was detected) and this was subtracted from the final image to ensure a flat
background. Pixels showing high or low gain, or those which showed great variation throughout the observation were masked off. In order to avoid errors in co-adding the data which could arise from
incorrect alignment of the images, we used re-binned images in which
each pixel was a fifth the size of the T-ReCS image pixels to determine
an accurate centre of the stellar images, aligned and co-added these
images and then re-binned to the original pixel size. The re-binning
was performed using bilinear interpolation across the array. This
technique was used both to determine a final image of
Tel and
standard star for each band. To ensure that background noise
did not affect the re-binning process the same procedure was applied
with an additional step of smoothing the images with a Gaussian kernel
of FWHM equal to that of the standard star image before re-binning.
It was found that the relative sizes of the final images of
Tel
and the standard stars and ellipticity of the images was unchanged by
this additional step, indicating that the re-binning was not affected
by background noise. This is as to be expected in data such as this
where the detector super-samples the PSF.
Table 1: Observations in order and total integration times of the observations taken under proposal GS-2007A-Q-45.
The final co-added images of
Tel in both filters and the
standard star for PSF reference are shown in Figure 1.
The contours shown in the images are at 20%, 40%, 60% and 80% of
the peak in each case (peak value in Qa 5.24 mJy/pixel, in Si-5 9.89 mJy/pixel). Also shown in the right-hand image for each row is the residual emission around
Tel observed when
subtracting the standard star image as a PSF reference scaled to the peak of the
Tel image. The contours and residuals are discussed further below.
![]() |
Figure 1:
The co-added
final images from the Qa observations ( top row) and the Si-5
observations ( bottom). Orientation of the images is
North up, East left. Left: the total co-added images
of ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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Photometry was performed using 1
0 radius circular apertures centred on
the stellar image. The centre of the image was determined through a
2-dimensional Gaussian fit. An average of the calibration factors
determined from the standard star observations taken on the night was
used for corresponding photometric calibration. Statistical noise was
determined using an annulus with inner radius 1
and outer
radius 2
centred on the source, resulting in uncertainties of
0.13 and 0.06 mJy/pixel at Qa and Si-5 respectively. The calibration factors
were found to vary by 4% and 2% on the first and second nights of Qa
band observations, respectively, which is consistent with the
variation of 3% found between fluxes measured on individual 304 s
integrations on
Tel (which is bright enough for an
60 sigma
detection even in such a short integration). Although the calibration factors varied by just 5% for the two observations of standards in the Si-5 filter, analysis of the individual 304 s integrations on
Tel (each of which resulted in a 78 sigma detection) showed that
photometric accuracy was in fact at a level of 13%. Our photometry
yields total fluxes of
mJy in Si-5 (with S/N of 292) and
mJy in Qa (with S/N of 129), including both calibration and statistical noise, where the S/N given in brackets indicates the level of statistical noise. Standard stars were observed at a similar airmass to
Tel. In addition, calibration levels were compared to airmass for the standard star observations and no correlation was found, therefore no correction for extinction was
applied to calibration. Using a Kurucz model profile scaled to the 2MASS K band magnitude,
the stellar flux in filters Si-5 and Qa is expected to be 282 mJy and
114 mJy, respectively. Thus the photometry gives an excess of
mJy and
mJy
in Si-5 and Qa. The IRS spectrum of Chen et al. (2006) after subtraction of the above
mentioned photospheric emission gives excess emission of
and
mJy, respectively, at these two wavelengths and so the photometry presented here is in agreement within the T-ReCS photometric errors with the IRS results at the 2
level.
Thus it does not appear that the IRS spectrum includes any emission centred
on the star outside the 1
aperture used here for photometry, as might
happen in the larger IRS beam (extracted along a 3
7 slit).
Figure 1 shows the final co-added images of
Tel and
the standard star for a PSF reference. The top line of this figure shows the Qa total image of
Tel and the standard. An elliptical shape can clearly be discerned, and a 2-dimensional Gaussian fit to the image has an ellipticity of
with the major
axis at
East of North; the same ellipticity was seen on the two separate nights of Qa observing. For comparison, the ellipticity of the final standard image is
with the major axis at
.
This slightly elliptical shape
of the PSF is seen across the standard star integrations (see later
this section) and does not coincide with the extension seen in the
Tel images. As all Qa observations were performed with no on-sky rotation and
chop-nod performed at
,
the direction of the
extension is unlikely to be the result of chop smearing.
![]() |
Figure 2:
The profiles of line cuts through the total images, at 8![]() ![]() ![]() ![]() ![]() |
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Also shown in Fig. 1 is the residual emission of Tel following a subtraction of the PSF reference standard star image
scaled to the peak of the
Tel image, which subtracts a total of
252 mJy from the image. Although this subtraction method is likely to remove some of the disc
emission (some of which contributes to the peak surface brightness),
it does highlight the location of the non-pointlike emission.
Peaks are seen in the Qa residual image that are centred at 0
45 (21.6 AU),
East of North, and 0
40 (19.2 AU),
East of North.
Symmetrical peaks in the residual emission either side of the star are
exactly what would be expected for an edge-on ring
(Telesco et al. 2000, although also note that we cannot rule out a less inclined ring without detailed modelling of the disc, see Sect. 4). Since the residual peaks are more representative of
the extension seen than the 2-dimensional Gaussian fit discussed
above, hereafter the extension is considered to be at a position angle
of
8
.
Thus the extension is at
28
with
respect to the direction of the binary (shown with an arrow),
suggesting if this arises from an edge-on disc, then that disc is not
in the same plane as the binary. The flux in the residual peaks totals
mJy (measured in 0
4 radius apertures; the
error term includes background and calibration uncertainty added in
quadrature), which as expected is below that of the excess emission
mJy measured in our photometry. An estimate of the
level of disc emission which may have been removed from the
residuals image by our method of PSF subtraction can be determined
from consideration of how much the two peaks may have contributed to
the central pixel. Using the PSF model scaled to the residual peaks
this was calculated as 0.3 mJy (as compared to the total peak before
subtraction of 5.24 mJy). This method suggests the extended emission
represents a minimum of 6% of the peak emission, as if the extended
emission is truly a disc lying across the star, this method will
again underestimate the disc flux in the central pixel.
A more detailed model of the extended emission seen in the Qa image is discussed in Sect. 4.
![]() |
Figure 3:
The best fitting two parameter model for
the Qa band emission around ![]() ![]() ![]() ![]() |
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To assess the temporal variability of this FWHM and the significance
of the extensions, as well as to search for a
dependence on time or airmass, linecuts were performed at position
angles of
and
for individual
nod set images (22 s) for the standard star and two nod set images
(43 s) for
Tel. Two methods of fitting the cuts, by a Gaussian profile and a Moffat
profile were tried. Both fits provided the same relative results,
although the peak was normally fitted more accurately using the
Gaussian profile. No dependence on airmass or time was found, and
median FWHM values and standard errors were found to be: for the
standard target 0
531
0
002 at 8
,
0
566
0
004 at 98
;
and for
Tel 0
582
0
010 at 8
and 0
545
0
007 at
98
.
The lower signal-to-noise on the
Tel observations
naturally leads to a larger degree of scatter in the intensity
profiles. However it is clear that at Qa there is no
difference in the FWHM of the
Tel frames and standard star
target frames at 98
,
but that at 8
the FWHM is larger for
Tel than for any of
the individual integrations of the standard stars. A further graphical
demonstration of the significance of the extension is provided by
Fig. 2 which shows the cuts through each Qa
integration (of 304 s) from the standard star imaging (plus signs) and
the
Tel observations (dots). At
the
Tel sub-integrations are not only broader at the
FWHM but also have broader wings to their profiles compared to the
standard star images. Neither of these features is seen at 98
.
The Si-5 image of
Tel shown in Fig. 1 includes
only the first 2 of 3 integrations on the source. The final integration showed an unusual shape compared to the previous integrations: a greater extension in the North-South direction, and an
unusual asymmetric shape, with an extension towards the East of the image not
matched on the West side. This shape was seen in all but the
first nod set. Neither the North-South extension nor the Easterly
extension match the chop PA of 55
.
The eccentricities and orientations of the major axis
for the 3 integrations are:
at 110
;
at 167
;
and
at 80
.
Thus we consider that the shape seen in the final integration is not evidence for true extension, but is due to the variable seeing conditions on this night.
In the Si-5 residual image we see only low significance emission at the Northern edge of the original stellar image. The emission seen in this residual image (Fig. 1
lower right image) is mJy (this error includes
only background error, not PSF uncertainty), however with subtraction of
individual standard star images rather than the coadded standard star
PSF reference image flux in this region can be as low as -7.8 mJy,
demonstrating the importance of consideration of the PSF variation
when determining evidence of extended emission close to the star, and
the true insignificance of this emission. Again the linecuts for
individual nodsets, both for
Tel and standard, were
assessed. No dependence on airmass or time was found, and
median values and standard errors of the Gaussian FWHM measurements
excluding the final integration for
Tel (see above) are: for
the standard target 0
383
0
003 at 8
,
0
407
0
006 at 98
;
and for
Tel 0
386
0
003 at 8
and
0
414
0
013 at 98
.
Thus examination of the
PSF uncertainty indicates that the residual emission
is likely to be the result of PSF variation over the course of the
observation.
In order to determine the constraints on the radial distribution of emission
provided by the resolved Qa imaging, we considered models for disc structure of increasing complexity. For all models it is assumed that the images are comprised of
unresolved stellar flux (of 114 mJy), plus an additional unresolved
disc component (motivated by the hot component inferred by Chen et al. 2006)
of flux
,
along with an additional resolved
disc component of flux
.
The IRS photometry was used to constrain the total flux so that
mJy.
The resolved flux is assumed to arise from an axisymmetric disc of
opening angle 5
(which is not constrained by the modelling)
which lies at an inclination I to our line-of-sight.
Since the emission is consistent with an edge-on disc I=0 is assumed
in the modelling, although the extent to which it is edge-on is
constrained later (see Sect. 4.2). Two types of resolved disc were assumed.
Narrow rings are defined by r, the radius of the mid-point of the disc, in AU;
a finite ring width of dr/r=0.2 was assumed, with a constant
surface density. Extended rings were defined by a continuous distribution of surface
density from some inner radius
to an outer radius
with surface density following a power-law
,
assuming grains with black body
temperatures and emissivities.
The total models (discs and point sources) were convolved with the average PSF
(shown in Fig. 1) for comparison with the observed data.
The compatibility of each model with the observed structure was tested
by taking line cuts along the direction of extension (at a PA of 8).
The line cuts were averaged over 3 pixels (0
27) in width centred on
the peak of the emission, taken over a length of 50 pixels (i.e.,
2
25 from the centre) to give a 1 dimensional profile for both the
observation of
Tel (with error bars) and for each model tested
(e.g., Fig. 3, right). For each model described below a range of parameters was tried and a
goodness-of-fit test applied to find the best fitting parameters and
confidence limits (errors from background statistical error).
In addition to the
from the line-cuts, that from a comparison of
the model images and observation was also considered (e.g., Fig. 3, left).
To test whether more complicated models are necessary to explain the
images, a Bayesian Information Criterion (BIC) test was applied to
the model fitting:
The simplest model is one with no resolved disc component. In this case we allowed
to be a free parameter, but as expected from the images and comparison of radial
profiles in Fig. 2, the
testing showed that no model provided a good fit to the profile with
and a reduced
,
where
is a perfect fit. The BIC of this model was 98 (from the 1 dimensional profiles).
Another possibility is to assume that there is no unresolved disc
component, just a narrow ring defined by the free parameter
r. Values of r tested in this case were in the range 8-60 AU. This
lower limit was chosen as smaller discs appear unresolved and thus
provide the same goodness-of-fit as the unresolved emission only model
described above. In this case the fit to the observed profile was poor, worse than assuming the
emission to be completely unresolved with
and a reduced
.
The BIC of this model was 160.
This demonstrates that the images confirm the suggestion of Chen et al.
that the material is at multiple radii.
The two free parameter model assumes that the disc emission is
comprised of a narrow ring of radius r and an unresolved
component at a level
(and so is essentially a
combination of the two one parameter models considered above).
The free parameter
,
which also controls the value of
,
was varied between 0 and 280 mJy (in 35 mJy steps),
while r was tested with values between 0 and 95 AU (in 3 AU intervals).
A much better fit was achieved with the two parameter model
with an unreduced
and a reduced
for r=24 AU and
mJy
(corresponding to
mJy). The profile of this best fitting model is shown in Fig. 3 in which the contributions of the different components are identified.
The BIC for this model was 31 (from 1 dimensional profiles)
indicating that this is strongly favoured over the 1 parameter models.
The
minimisation showed that the parameters were constrained
to the ranges:
mJy and
r=16-32, 10-42, 10-53 AU
at the 1, 2, and
levels respectively (ranges from a
marginalisation of the joint distribution of the two parameters).
Using the line cuts perpendicular to the direction of maximum
extension the inclination to our line of sight was constrained to be
less than 20
,
since at
the model FWHM(0
574) exceeds the observed FWHM (0
566
0
004) by more than 1
.
Given the importance of PSF variation in the residual structure seen
in the N band images, and as we used the average PSF in the modelling outlined
above, we performed the same modelling process using the different PSFs
measured in the single standard star observations (i.e. not co-added).
The sensitivity of our best fit parameters on the chosen PSF was minimal,
with typical 1
confidence regions close to those given in Sect. 4.2
(widest ranges were 8 AU < r < 32 AU and 20 mJy <
mJy). Thus the variation in the observed PSF does not strongly change the best fitting model for the extended emission.
The final total model at Qa is shown after subtraction
of the PSF scaled to the peak of the observed image of
Tel in Fig. 3 along with the profile of this best fitting model with an edge-on disc (inclination = 0).
Subtracting the model image from the observation reveals that
two are a close match within the statistical noise over the area
of the image (900 pixels = 2
7
2
7, reduced
).
As soon as the ring is assumed to be broad the number of free parameters
increases to 3 or 4, depending on whether an unresolved component was
included: i.e.,
,
,
,
and
possibly
.
We started by assessing whether the radial distribution could be explained by a single continuous distribution of dust, without an unresolved component.
We tried model grids with
AU spaced at 0.2 AU
intervals,
AU in 1.5 AU intervals
and
tested at intervals of 0.5 with
.
This resulted in a poor fit to the data (
over the
1 dimensional profile, reduced
), and the BIC of 83 which suggests that the radial
distribution is discontinuous.
It was possible to find a better fit to the observations than the two
parameter model of Sect. 4.2 when
was also included as a free parameter;
a reduced
of 1.03 (from the 1d profile) was found for
AU,
AU,
and
mJy. However, the BIC calculation results in a value of 55 suggesting that the additional parameters required for an extended dust distribution
are not justified to fit the data.
![]() |
Figure 4:
Spectral energy distribution (SED)
of ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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The emission spectrum of
Tel is shown in Fig. 4.
Here the stellar photospheric emission has been modelled using a Kurucz
atmosphere of 9506 K that has been scaled to the 2MASS K band photometry
(implying a stellar luminosity of 22
for 48 pc).
The photosphere of the M 7.5 star companion is shown for reference and
is modelled using 2700 K NEXTGEN model atmosphere (Hauschildt et al. 1999). This companion is outside the aperture used to determine the TReCS photometry. In any case the emission
from this M 7.5 star at the wavelength range covered by both TReCS
and the Spitzer IRS spectrum is below the background statistical
noise level and thus it does not contribute to the photometry shown
at >5
m. Photospheric contributions have been subtracted from the fluxes shown
at >5
m which represent the excess emission from the disc.
The results of our imaging require that the emitting dust be at two
radii, in agreement with the conclusions of Chen et al. (2006). These
separate components are shown by open symbols in Fig. 4.
Modelling was performed to provide a two component fit to the SED in which
each component (the unresolved excess and resolved disc) is
pegged to its 18 m flux, with the unresolved
component dominating the IRS spectrum <18
m and the resolved component
dominating the longer wavelength fluxes. We assume a maximum grain
size of 1000
m, with a minimum grain size of 10.8
m as this is
the size at which grains are removed from the system by radiation
pressure. Large grains (greater than mm-sized) are
inefficient absorbers and emitters of radiation, and their addition
to the grain population would not have a great affect on the SED.
A size distribution of
(see Dohnanyi 1969) was also assumed. We consider a
distribution of grain sizes to be a realistic model for a dust
population created in the different origin scenarios presented in
Sect. 5 (Chen et al. 2006, use a single grain size to fit the IRS
spectrum). Grains were assumed to have a silicate core and organic
refractory/icy mantle (as used in Augereau et al. 1999; Li & Greenberg 1998). Dielectric constants were
calculated using Maxwell-Garnett effective medium theory
and optical properties calculated using Mie theory, Rayleigh-Gans
theory and Geometric Optics in the appropriate size regimes
(Bohren & Huffman 1983). The unresolved component was
then best fit by a silicate fraction of 30% by volume (with the remaining
volume composed of organic refractory material) and porosity of 0.2,
which fit the shape and level of the silicate feature at
10
m, resulting in a dust population at 3.9 AU
of fractional luminosity
.
Although we do not consider this modelling to have uniquely constrained
the grain composition, this is a physically based model from which it is
possible to estimate the radial location of the dust.
Since this location is smaller than the FWHM it is confirmed that this should
appear unresolved in our images, which would be expected as long as the radius
was
6 AU.
Table 2:
The observed emission from the T-ReCS observations of
Tel, with comparison to the predicted
emission from the two components used to fit the excess SED as described in Sect. 4.4.
The same dust grain size distribution was used to model the cold
resolved component. The same dust composition with the dust located
between 21 and 26 AU as constrained by modelling the resolved Qa
emission provides a good fit to the Spitzer IRS spectrum of the excess
emission (Fig. 4). The fractional luminosity of the resolved component is similar to the unresolved component at
.
The N band flux of the resolved component is just 6mJy, which is
consistent with the non-detection of the resolved emission in the
imaging which is dominated by the unresolved component (at 140 mJy).
The full SED fit was compared to the observed photometry and a
goodness-of-fit computed. Data points from IRAS, MIPS,
TReCS and the IRS spectrum were weighted according to their
uncertainty. Data points at <7
m were excluded from the fit
due to high levels of uncertainty arising from the correct
determination of the stellar contribution at this range. The
resulting reduced
of 1.14 indicates the model fits the
observed emission well.
Thus the two component model provides a consistent picture of this disc (see Table 2 and Fig. 4 for comparison between model and observed emission levels), and while we cannot accurately assess the range of temperatures (and radii) that are present in the two components, the poor fit of a continuous surface density distribution (Sect. 4.3) suggests that there is a region of lower surface density between the two.
In the following section we explore the possible origin of the two
dust populations around
Tel. We consider two possibilities: that
Tel represents an analogue of the Solar System when it was at a
similar age; and that the observed emission could arise from ongoing
planet formation. We discuss the implications of these scenarios for
any as yet undiscovered planets in the system, and place the
Tel discs in a wider context by comparison to the other
Pic moving group A star discs.
The two component model for the
Tel disc represents an
intriguing analogue to the young solar system.
Current theory suggests that the asteroid and Kuiper belts in the Solar
System were originally much more massive than they are today and that much
of the mass depletion occurred during a chaotic period known as the Late
Heavy Bombardment several hundreds of Myr after the formation of the Solar
System, possibly triggered by the migration of the giant planets (Gomes et al. 2005).
According to the Nice model (Tsiganis et al. 2005),
which reproduces fairly accurately the current configuration of the Solar
Systems giant planets and the Kuiper Belt (Levison et al. 2007),
the Kuiper belt was situated between
15.5-34 AU, with
the orbits of the outer planets confined to the 5-15 AU region, whereas
the asteroid belt was at its current location.
Thus in terms of radial location it is tempting to interpret the
Tel disc
in terms of an analogous asteroid belt (the unresolved component at 3.9 AU)
and an analogous Kuiper belt (the resolved component at 24 AU).
It is worth noting that the luminosity of
Tel is much
higher than the Sun at
24
,
and thus the snow line (the
location at which ices are expected to form) would be much further
from the star. Using a simple 150 K blackbody approximation the snow
line would be expected at
17 AU around
Tel (compared to
3.5 AU in the Solar System).
The current levels of excess emission arising from the two
populations of debris in the Solar System are 2-3 orders of magnitude
lower than that observed around
Tel, since the fractional
luminosity of asteroid belt dust is
(Dermott et al. 2002), and that of Kuiper belt dust is
(Stern & Colwell 1997).
However, the luminosities would have been much higher at an age similar to
Tel, since this would have been before the depletion of the asteroid and
Kuiper belts. The original belts in the Nice model had masses of
and
35
respectively
(total mass in full size range of bodies), and so would also
have had correspondingly higher levels of dust emission.
The fractional luminosity of the Kuiper belt was estimated to be
around
during the pre-LHB phase (Wyatt 2008; Booth et al., in prep.), which is comparable to that of the resolved component of
the
Tel disc.
The fractional luminosity of the pre-LHB asteroid belt would also have been
considerably higher, since
of material at
3 AU
distributed in a collisional cascade size distribution from 2000 km
asteroids down to 0.8
m dust blown out by radiation pressure would
have resulted in a fractional luminosity of
10-3.
However, collisional processing would ensure that such a high mass would not
be long-lived, and Wyatt et al. (2007b) showed how there is a maximum fractional
luminosity for planetesimal belts of a given age and radius.
For a belt at 3.9 AU around
Tel that has been undergoing
catastrophic disruption for 12 Myr this maximum fractional luminosity
is
.
Although the current fractional luminosity is 30-40 times higher than this maximum value, this does not rule out the possibility that the
unresolved component arises from the steady state collisional
destruction of an asteroid belt for two reasons. First, the model
requires
times higher to indicate
a discrepancy given the various uncertainties in the model parameters
including assumptions about the maximum planetesimal size,
planetesimal strength and orbital eccentricities of around 0.05 used
to determine
(see also Löhne et al. 2008).
Second, it is possible that collisions in the asteroid belt only became
destructive after the protoplanetary disc dispersed
(after which time eccentricities can increase due to reduced
dampening), and so more recently than 12 Myr thus increasing
.
However, another possible interpretation of emission at a few AU is that
it arises in the late stages of the formation of terrestrial planets
(e.g., Meyer et al. 2008; Rhee et al. 2007).
High levels of hot emission are expected in the planet formation models
of Kenyon & Bromley (2004) once the planetesimal discs are stirred by the
formation of Pluto-sized objects.
As such objects form within 105 yrs at 4 AU in a quiescent disc with the same
density as the minimum mass solar nebula (MMSN) (Kenyon & Bromley 2005),
stirring of the disc by a newly formed Pluto does not seem likely to
explain the hotter dust emission. However, evidence from the Solar System suggests massive collisions between terrestrial planet cores could occur quite frequently in the first
<100 Myr (e.g. formation of the Moon, Canup 2004), and models
indicate that the final stage of terrestrial planet formation is
characterised by such collisions (e.g., Kokubo et al. 2006).
Thus the hot emission around
Tel could be evidence of
stochastic collisions between large rocky cores.
The unresolved component does not represent a population of
PR-dragged particles from the resolved ring. Consideration of the
collisional and PR-drag timescales for particles from the resolved
ring (
for a belt at
3.9 AU; see Wyatt 2005, for equations) indicates that any
grains susceptible to PR-drag released by collisions in the outer
belt are likely to undergo further collisions before PR-drag can
affect their orbits to move a significant dust population to the
radius of the unresolved component. Furthermore, were PR-drag a
dominant process in this disc system, we would expect a dust
distribution with a constant surface density (Wyatt 2005), not
the two separate populations observed in the Qa images.
It is not possible to distinguish between the asteroid belt and
protoplanet collision possibilities at this stage, although detailed
spectral modelling may be able to determine the dust composition and
so give clues as to the nature of the parent body
(e.g., Lisse et al. 2007). Resolving the disc could also aid in its interpretation, although the small spatial scale of this population would make this a challenge. To date
only the asteroid belt analogue around
Lep has been resolved
at a similar offset from the host star (Moerchen et al. 2007b).
Although the suggested location and fractional luminosity of the resolved
component around
Tel compare well with the early Kuiper belt, this
does not require the two systems to have undergone a similar evolution
and to have similar planetary systems.
An alternative scenario for the evolution of the
Tel system is given
by the self-stirred planet formation models of Kenyon & Bromley (2004) which
may also explain the delay in the onset of 24
m emission peak until
10-15 Myr (Currie et al. 2007). In such models planet formation within
an extended planetesimal belt results in a bright ring of emission at
the radius where Pluto-sized objects have recently formed.
The timescale for the formation of Plutos,
yr, around
Tel suggests
that to have reached this stage at 24 AU by 12 Myr requires a disc
surface density equivalent to
0.7 MMSN.
To assess the possibility that the bright ring in the
Tel disc is
caused by the recent formation of Pluto-sized objects at 24 AU, we performed
additional modelling of the 18
m image based on the prescription for
the evolution of dust surface density given in Wyatt (2008)
that provides an empirical fit to the self-stirred models of Kenyon & Bromley (2005).
This model considers an extended planetesimal belt of surface density
scaled to the MMSN in which annuli at different radii have a suppressed dust
content until the age at which Plutos form at which point their mass is eroded
through steady state evolution (Wyatt et al. 2007b).
The dust emission is calculated assuming a ratio of dust area to planetesimal
mass appropriate for a collisional cascade size distribution, and further
assuming black body temperatures and emission properties.
To account for possible global deviations from this size distribution or from
pure black body grains, an additional scaling factor
was applied to the surface brightness of the whole disc. An unresolved
disc component was included in addition to the unresolved star. The
total flux from the self-stirred disc (as fixed by the disc surface
density and scaling factor) and the unresolved component was fixed to
259 mJy from the IRS photometry (see Sect. 4).
Thus the model has 2 free parameters:
,
and
,
with
fixed in response to the level of
flux in the self-stirred disc.
As expected from the simple calculation above, the best fitting model has
a surface density of 0.7 times MMSN, leading to a ring at 24 AU,
with
mJy (similar to the model of Sect. 4.2) and
.
The low value of
could arise because the grains are cooler than
black body, since the ratio of
is
0.3
at 18
m. The
for this model is 58 with a reduced
of
,
slightly higher than that of the 2 parameter
model (
)
in Sect. 4.2. The reduced
of the image (taken as described in Sect. 4.2) was 1.15, better than
the two parameter model which had
.
The BIC for
this model is 32, which is indicative of the almost equally good fit
of the two models. The BIC values show there is no evidence against
either the simple ring plus unresolved flux model (Sect. 4.2) or the
self-stirred model. The residuals for the best fitting self-stirred
model are plotted in Fig. 5. Multi-wavelength
imaging may help break this degeneracy. The self-stirred model requires an extended disc with a brightness peak at the location of recent Pluto formation. If a larger disc
location were observed in longer wavelength imaging this could be
evidence in favour of the self-stirred interpretation, whereas in the
solar system analogy we may expect to see the disc confined to a
narrow radial range. Alternatively searching for planets in the system
could further test these models.
![]() |
Figure 5: The self stirred model of the resolved disc component as described in Sect. 5.3 after the same PSF subtraction as applied to the observations (Fig. 1 Qa band residual image) and 2 parameter model, shown in Fig. 3. The scaling in this image is the same as for Fig. 1 top left. Contours are from the observed residuals image, at levels of 1/3 and 2/3 of the peak, as for Fig. 3. |
Open with DEXTER |
In other words the structure of the disc is entirely consistent with
a self-stirred extended planetesimal belt in which the inner region
has been cleared through collisional erosion following the formation
of Pluto-sized objects. One caveat is that an additional unresolved component still has to be
invoked. To be consistent such a component could not originate in an asteroid
belt (unless this had significantly different material properties to
the outer regions), and further work is needed to assess the duration
and radial location of any 18 m emission expected from the final
collisional phase of terrestrial planet formation.
Taking the solar system analogy to its extreme would suggest that the
gap in the dust distribution seen around
Tel at 5-20 AU is caused
by the existence of giant planets distributed in this region.
Like the Solar System, the planetesimal belt at 3.9 AU could represent a region
where terrestrial planet formation was disrupted by the influence of a
gas giant planet at 5-6 AU, and the inner edge of the belt at 24 AU could demark
the outer edge of the planetary system.
The inner edge of the the hot dust could also be evidence of terrestrial planets at <3 AU, as the hot dust at 1 AU around HD 69830 (Beichman et al. 2005; Lisse et al. 2007) lies just outside 3 Neptune mass planets, the outermost of which is at 0.63 AU (Lovis et al. 2006) (although the location of the disc has not yet been confirmed through resolved imaging). Also, although no planets have been detected around zeta Lep, the restricted spatial extent of its asteroid belt (Moerchen et al. 2007b) is suggested to be possible evidence of perturbations of planetary bodies.
Implicit in the self-stirring interpretation is the formation of
planets at least the size of Pluto in the inner regions.
Such objects would presumably have grown through mutual collisions to
larger sizes, but it is not required that they also evolved into gas
giant planets, which would depend on whether they reached 10
before the gas disc dissipated (e.g. Lissauer 1993).
A further possibility which is not discussed here is that this disc
is a remnant of the protoplanetary disc, and that the dust is shepherded
into a ring through the action of gas drag forces or instabilities
(Takeuchi & Artymowicz 2001; Klahr & Lin 2005; Besla & Wu 2007). In this case it would not be necessary
for any planets to be present. A massive gas disc around a star of this age would be highly unusual, as most gas discs are believed to dissipate in <10 Myr (e.g. Hollenbach et al. 2005),
although gas has been detected around 4 A stars (
Pic,
Brandeker et al. 2004; HD 141596, Jonkheid et al. 2006; 49 Ceti,
Dent et al. 2005; and HD 32297, Redfield 2007). To assess this possibility knowledge of the gas distribution is vitally important, yet gas has yet to be detected around
Tel.
Of the 5 A stars in the
Pic moving group, 3 exhibit excess mid-IR
emission from a debris disc (
Pic,
Tel and HD 172555).
The derived (or directly measured) structures of these 3 discs display
significant diversity.
Pic, an A6V star, has a well known highly extended disc
with dust imaged from 10 s of AU to an outer extent of
1500 AU
(Larwood & Kalas 2001; Telesco et al. 2005). Since dust at the outer edge is thought to be created in planetesimal belts much closer to the star (Augereau et al. 2001), it is probably most instructive to consider this disc as an extended planetesimal belt out to 100 AU with a broad peak in
surface density at around 70 AU (Telesco et al. 2005). HD 172555 on the other hand has all of its emission much closer to the star. Its emission spectrum indicates the presence of silicate grains at 520 K and a blackbody component at 200 K implying a radial offset of 0.8-6 AU
(Chen et al. 2006; Rebull et al. 2008). The
24 AU outer belt of the
Tel debris lies intermediate between these two extremes. These discs thus represent the diversity that is seen amongst debris discs at the age when emission is seen to peak (Currie et al. 2007).
Within the context of the self-stirring model this diversity would be expected
to arise primarily from different initial disc masses.
While
Tel is the product of a 0.7 MMSN disc, the protoplanetary disc of
HD 172555 (and of the two A stars which are not detected) is presumably of lower
density, and that of
Pic is of higher density to allow Plutos
to form out to 70 AU by 12 Myr. It is also worth noting that the beta Pic
disc shows an asymmetry that may be the result of a catastrophic collision
at
50 AU, such as might be expected from the self-stirring models at the
epoch of Pluto-formation.Such a diversity of protoplanetary disc masses is expected
(e.g., Andrews & Williams 2005), but the small number of stars in this sample
does not permit any definite conclusions to be drawn.
In the young Solar System interpretation, the diversity in these discs
could instead be due to the diversity in planetary system architecture
across the three stars, which in addition to a dependence on initial
disc mass (Wyatt et al. 2007a) could also have a significant stochastic component
(e.g. Quintana & Lissauer 2006, find small changes in the location of planetary embryos has a great impact on the final system architecture).
Furthermore the origin of the hot emission, and its diversity, remains
a puzzle, and it is not clear whether the presence, or lack thereof,
of asteroid belts and ongoing terrestrial planet formation should be
a monotonic function of the initial disc mass (see e.g. Su et al. 2008, who find from a sample of middle-aged discs around A0-A3V stars that factors beyond variation in initial disc mass are needed to explain the variation in observed disc structure).
We have presented Si-5 and Qa band Gemini T-ReCS imaging of the 12Myr old A
star
Tel. The emission at 18.3
m is shown to be
significantly extended compared with a point source. This
image represents the first resolution of dust emission around this
star. These observations confirm the interpretation of the SED as a debris disc
comprised of two populations: one component that is resolved at 24 AU,
the other that is unresolved with a temperature consistent with dust at 3.9 AU.
Two interpretations are proposed for the origin of the architecture of these debris belts. (i) The system is a close analogue to the Solar System at a similar age, both in terms of the radial location of the debris and the level of emission; i.e., these belts represent analogous asteroid and Kuiper belts. (ii) Alternatively this system is still undergoing planet formation, and the 24 AU ring is the location where Pluto-sized objects recently formed; the 3.9 AU ring could be the product of recent collisions between Mars-sized bodies in the final accumulation phases of terrestrial planets. This implies that this system evolved from a 0.7 MMSN protoplanetary disc.
These possibilities can be further tested by probing the radial structure of
the disc through multiple wavelength imaging, and by searching for planets
both through direct methods, or through looking for evidence for them in the
disc structure.
Thus
Tel is a valuable source for testing planet formation theories,
not least since it may be an example of a system where planet formation is
ongoing.
Acknowledgements
R.S. is grateful for the support of a Fellowship of the Royal Commission for the Exhibition of 1851. L.J.C. is grateful for the support of an STFC studentship. M.C.W. is grateful for the support of a Royal Society University Research Fellowship. M.M. acknowledges support from JPL funded by NASA through the Michelson Fellowship Program. JPL is managed for NASA by the California Institute of Technology. The authors would like to thank Christine Chen for providing the Spitzer IRS spectrum ofTel. Based on observations obtained at the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (United States), the Science and Technology Facilities Council (United Kingdom), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), Ministério da Ciência e Tecnologia (Brazil) and SECYT (Argentina).