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Astron. Astrophys. 331, 361–371 (1998) ASTRONOMYAND
ASTROPHYSICS
The shock structure in the protoplanetary nebula M 1–92:imaging of atomic and H2 line emission⋆
V. Bujarrabal1, J. Alcolea1, R. Sahai2, J. Zamorano3, and A.A. Zijlstra4
1 Observatorio Astronomico Nacional (IGN), Apartado 1143, E-28800 Alcala de Henares, Spain (bujarrabal,[email protected])2 Jet Propulsion Laboratory, MS 183-900, 4800 Oak Grove Drive, Pasadena CA 91109, USA ([email protected])3 Departamento de Astrofısica, Facultad C. Fısicas, Universidad Complutense, E-28040 Madrid, Spain ([email protected])4 European Southern Observatory, Karl Schwarzschild Strasse 2, D-85748 Garching bei Munchen, Germany ([email protected])
Received 18 March 1997 / Accepted 19 September 1997
Abstract. We present HST imaging of continuum (5500 A) and
atomic line (Hα, [OI] 6300 A, [SII] 6717 and 6731 A, and
[OIII] 5007 A) emissions in the protoplanetary nebula M 1–92.
Ground based imaging of 2µm continuum and H2 ro-vibrational
(S(1) v=1-0 and v=2-1 lines) emission has been also performed.
The 5500 A continuum is due to scattering of the stellar light
by grains in a double-lobed structure comparable in extent and
total density with the molecular envelope detected at mm wave-
lengths, which consists of two empty shells with a clear axis of
symmetry. On the other hand, the optical line emission comes
mainly from two chains of shocked knots placed along the sym-
metry axis of the nebula and inside those cavities, for which
relatively high excitation is deduced (shock velocities of about
200 km s−1). The H2 emission probably comes from more ex-
tended regions with representative temperature and density of
1600 K and 6 103 cm−3, intermediate in location and excitation
between the atomic line knots and the very cold region detected
in CO emission. We argue that the chains of knots emitting in
atomic lines correspond to shocks taking place in the post-AGB
bipolar flow. The models for interstellar Herbig-Haro objects
seem to agree with the observations, at least qualitatively, ex-
plaining in particular that the atomic emission from the bipolar
flow dominates over that from shocks propagating in the AGB
shell. Models developed for protoplanetary nebula dynamics
fail, however, to explain the strong concentration of the atomic
emission along the symmetry axis.
Key words: circumstellar matter – stars: AGB and post-AGB
– planetary nebulae: individual: M 1–92 – shocks – infrared:
ISM: lines and bands
⋆ Based on observations made with the NASA/ESA Hubble Space
Telescope, obtained at the Space Telescope Science Institute, operated
by the Association of Universities for Research in Astronomy, Inc.,
under NASA contract NAS 5-2655
1. Introduction
M 1–92, Minkowski’s Footprint, is one of the best studied pro-
toplanetary nebulae (PPN), see e.g. Herbig (1975), Cohen and
Kuhi (1977), Solf (1994), Bujarrabal et al. (1994). The temper-
ature of the central star is about 20 000 K: this makes it a rela-
tively hot post-AGB star, well on its way to become a planetary
nebula. The coordinates of the central star are: right ascension
19:36:18.9, declination +29:32:50 (J2000), l = 64.1, b = 4.3.
The distance to M 1–92 has been studied by several authors.
Cohen and Kuhi (1977, see also Calvet and Cohen 1978) dis-
cussed possible values between 2.3 and 3.5 kpc, depending on
whether the object belongs to luminosity class V or III, but note
that this classification may be not meaningful for PPNe. Feibel-
man and Bruhweiler (1990) propose a distance between 1 and
2.5 kpc, from the possible values of the intervening extinction,
a range that was considered to be consistent with their analysis
of the ultraviolet emission of M 1–92. We will adopt a distance
of 2.5 kpc. For this value, the luminosity of M 1–92 is estimated
to be about 104 L⊙ (Cohen and Kuhi 1977), a value often found
in PPNe (e.g. Calvet and Cohen 1978).
The optical image (a reflection nebula of about 10′′ or 4 1017
cm), consists of two lobes, with a conspicuous symmetry axis
approximately oriented along the NW-SE direction. The much
brighter NW part points towards the observer. Optical spec-
troscopy observations (Herbig 1975, Solf 1994) have shown a
high-velocity bipolar outflow with velocities of about 200 - 300
km s−1, following the nebular axis. High-excitation gas, with
characteristics similar to those of Herbig-Haro objects and prob-
ably related to shocks, is identified in the two lobes (Solf 1994).
The gap between both lobes and the high extinction towards the
star indicate the existence of an oblate dust condensation in the
center. This is confirmed by the torus-like feature identified in
IR color images (Eiroa and Hodapp 1989).
The detection of OH maser emission in M 1–92 indicates
O-rich chemistry. High spatial resolution mapping of the OH
1667 MHz line (Seaquist et al. 1991) shows that the OH maser
362 V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission
probably arises from a flat, compact component, perpendicular
to the symmetry axis and slightly larger than the IR ring (3-4′′
versus 2-3′′), that probably corresponds to the same torus.
The 2′′-resolution mapping of the 12CO and 13CO line emis-
sion (Bujarrabal et al. 1994, 1997) shows a double, hollow shell
which covers the whole optical nebula. This shell was ejected
during the past AGB phase and contains most of the nebular ma-
terial (at least 1 M⊙). The molecular gas flows predominantly
in the axial direction with outward (deprojected) velocities as
high as 70 km s−1. Such a velocity, significantly higher than
typical AGB expansion velocities, and the hollow shape of the
CO lobes strongly suggest the effect of wind interaction between
the fast bipolar outflow (presently ejected by the star) and the
slow dense envelope (ejected during the past AGB phase). The
temperature of the emitting gas is very low, 15 - 20 K, indicating
that strong cooling took place after the shock acceleration.
M 1–92 is probably the PPN in which the structure and
properties of the wind interaction, the dominant dynamical pro-
cess for the formation of planetary nebulae, is being studied
in most detail. However, the comparison of the CO data and
the shocked gas observations in the optical has been less useful
due to the low spatial resolution of the optical spectroscopy. To
overcome such a limitation we have performed Hubble Space
Telescope (HST) imaging using several narrow filters in order
to select [SII], [OI], [OIII] and Hα emission, together with a
filter placed in a spectral region free from intense lines, in order
to measure the nebular continuum level and distribution. We
have also probed the intermediate excitation gas by means of
near infrared ground-based observations of H2 ro-vibrational
emission.
2. Observations and data analysis
2.1. Optical imaging with the Hubble Space Telescope
HST Wide Field Planetary Camera 2 (WFPC2) observations of
M 1–92 were obtained in May 1996 through a set of five fil-
ters, four of which isolate atomic line emission: F656N (Hα),
F631N ([OI] 6300 A), F673N ([SII] 6717 and 6731 A), and
F502N ([OIII] 5007 A). The fifth filter, F547M, is placed be-
tween 5211 and 5697 A, a spectral region in which the line
emission contribution to the total intensity is negligible (Tram-
mell et al. 1993), and is useful for measuring the continuum
intensity. Standard reduction procedures were applied. After
averaging the different exposures and rotating the images, the
actual angular resolution measured from stellar images is ∼ 0.1
arcsec, about twice the pixel size (0.05 arcsec). The units in the
images presented here are erg sec−1 cm−2 A−1 (per pixel). The
total exposure times for filters F673N, F631N, F502N, F656N,
F547M were respectively 1980, 2080, 2080, 760, 960 seconds.
In all cases several different exposures were done in order to
help in the analysis, in particular short exposures of about 100
seconds were performed to control any possible saturation.
The images in the continuum and line filters are quite sim-
ilar in flux distribution to a first approximation. Since the line
filter intensity includes line emission plus scattered light, the
contribution of scattering to the intensity distribution measured
with the narrow filters must be dominant. Our continuum 5500
A image was used to remove such a contribution. The contin-
uum level at 6730A is below the level measured in the 5500A
continuum filter due to the color index of the nebula. The dif-
ference is much smaller for the [OI] and [OIII] lines which are
closer in wavelength to the continuum filter. The color index
from photometry measurements (Cohen and Kuhi 1977) indi-
cates that the continuum level at 6700A is about 20-25% lower
compared to 5500A. This factor agrees with the estimate from
the HST images and was used to subtract the continuum. How-
ever, we note that the extinction varies across the nebula and
the correction factor is therefore only an average value. This
can leave a large-scale residual error in the [SII] image. From
the allowed range of correction factors, we estimate that the
uncertainty in the [SII] line emission strengths is about 30%.
The smooth component is especially uncertain. The outer lanes
visible in both lobes (almost parallel to the axis of the nebula
and strongest in the NW lobe; see Fig. 1) seem to be real: they
are slightly above the estimated uncertainty and also appear in
the [OI] differential image.
The intensity detected in the narrow Hα filter is mainly due
to the scattered stellar line emission. However, the scattered
light, whether it correspond to continuum or line emission from
the star, must present the same spatial distribution. Therefore,
our F547M image can still be useful for subtracting the scattered
light contribution, once we estimate an appropriate scaling fac-
tor. We use a factor that yields intensity close to zero (but not
negative) in the pixels that present very low emission in the [SII]
and [OI] lines. The used correction factor implies that the scat-
tered continuum level is only about 20% of the total scattered
light through the Hα filter, which is accurately coincident with
the fraction of the scattered light due to the stellar continuum
calculated from measurements of line and continuum lobe in-
tensity by Cohen and Kuhi (1977) and Trammell et al. (1993).
In any case, the scaling factor to be applied in the scattered light
subtraction is obviously more uncertain for our Hα image than
for [SII]. The extended structures found in the differential Hαimage are then not accurately measured, although the intensity
increase of the compact knots is reliable.
In Fig. 1 we show the images in the continuum at 5500 A
(a), with the Hα filter after subtracting the scattered light (b),
with the [OI] filter before (c) and after (d) subtraction of the
scattered light, with the [SII] filter (e) and with the [OIII] filter
(f) both after subtraction, see also Fig. 4. In Fig. 2 we show cuts
in three directions in the 5500 A continuum image (Sect. 3.1).
2.2. Ground-based imaging of near-infrared H2 line emission
The images were obtained at the Calar Alto 2.2 m telescope,
using the MAGIC camera (Herbst et al. 1993) in the high-
resolution mode. In this configuration, the NICMOSS3 2562
HgCdTe array images a 164-square-arcsec field of view at
0.63 ′′/pixel. The nebula was observed using three narrow-
band filters: H2 S(1) v=1-0 (centered at λc=2.122 µm, width
V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission 363
Fig. 1a–f. HST images of M 1–92. a: 5500 A
continuum; contours are 2.4, 4.8, 10, 24, 48,
100, 240, and 480 10−19 erg cm−2 s−1 A−1
(per pixel, pixel size: 0.046 arcsec). b Hα
emission after subtraction of scattered light.
c, d [OI] 6300 A emission respectively be-
fore and after subtraction of scattered light. e
[SII] 6700 A emission after continuum sub-
traction. f [OIII] 5000 A emission after con-
tinuum subtraction. See text for details on
the subtraction procedure.
of W=0.021 µm), H2 v=2-1 S(1) (λc=2.248 µm, W=0.022 µm)
and continuum at 2.260 µm (W=0.060µ).
Three independent images were taken in each filter, with
relative offsets of the order of 20′′. Each individual image is the
result of the coadd of 10 exposures of 0.7 s and 2.0 s for the
continuum and line filters respectively. Sky frames were taken
at the beginning and end of each filter series.
The data reduction process included bad pixel removal and
interpolation, dark subtraction, flat-fielding, sky subtraction,
and registration of all images. All the images in each filter were
combined, eliminating discrepant points like cosmic rays, resid-
ual stars in the sky frames, and a faint ghost image which ap-
peared in one of the frames.
Absolute flux calibration was obtained from observations
of the standard star Gl 748, which has K=6.305 and J-K=0.53
(Elias et al. 1982). The indicated Teff=4000K yields flux den-
sities at 2.122, 2.248 and 2.260 µm for this standard star of
0.1415 10−12; 0.1193 10−12 and 0.1174 10−12 erg cm−2 s−1
A−1, respectively. During the observations, the airmasses of the
standard star and of M 1–92 were 1.40 and 1.15, respectively.
A typical extinction of 0.088 mag/airmass was assumed. The
units of the final images are erg cm−2 s−1 µm−1 (per pixel).
364 V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission
Fig. 2. The surface brightness of the 5500 A continuum as a function
of radius in M 1–92, generated by taking cuts through the F547M HST
image along radial vectors passing through the central star. Three dif-
ferent cuts are shown, θ = 0◦ and 180◦ respectively corresponding to
polar directions along the major axis of the nebula in the northern and
southern lobe, and θ = 45◦ corresponding to a cut at an intermediate
latitude (θ is measured anti-clockwise from the polar axis). The inten-
sities for each cut have been normalized to a surface brightness of 13.2
mag arcsec−2. The dashed line shows for comparison an r−3 intensity
variation, expected for an inverse-square density variation.
We subtracted the continuum contribution to the intensity
measured in the narrow line filters. The worst case is the 2.122
µm filter, which is furthest in wavelength from the continuum
filter. Since we are interested in the lobe emission, instead of in
the stellar intensity, we have estimated the relative continuum
level between 2.122 and 2.260 µm wavelength from the total
nebula colors and relative reddening given by Eiroa and Hodapp
(1989) and Eiroa et al. (1983). The emission from the lobes is
relatively bluer than from the central ring surrounding the star.
This compensates the slightly larger intensity of the whole neb-
ula at 2.260µm, and we estimate that in the lobes the continuum
level must be comparable at 2.122 and 2.260 µm. We have then
directly subtracted the continuum level from the line images.
Fig. 3a shows the continuum image (see a previous compara-
ble image in Latter et al. 1995) and Fig. 3b the intrinsic v=1–0
emission after continuum subtraction. From the uncertainties in
this procedure, we estimate that the errors in the 2.122 µm line
emission in the lobes is of the order of 40%. In spite of this large
uncertainty, the line emission detected in both lobes at 2.122µm
is probably real, since to cancel such structures we would have
to assume that the lobes are half a magnitude bluer than the
average nebula emission, which is very improbable in view of
the relative reddening measured across the object by Eiroa and
Hodapp and the short difference in wavelength between both
filters.
In the case of the v=2-1 line the subtraction is straightfor-
ward since the wavelength difference with respect to the con-
tinuum filter is very short. The emission is weak in this line (as
usual in protoplanetary nebulae, see below); we report a tenta-
tive detection in this line at a level 5-10 times weaker than the
v=1-0 line.
The central M 1–92 ring is known to be relatively red (Eiroa
and Hodapp 1989), accordingly, the subtraction procedure used
here leads to negative contours in the differential 2.122 µm
image in this region. The results so obtained are then not mean-
ingful for such a ring and not displayed in Fig. 3b.
Since the seeing in our H2 ground-based observations is of
the order of 1 arcsec, much poorer than in the HST data, we
have improved the spatial resolution of the 2.122 µm differ-
ential image by deconvolving an empirical point spread func-
tion. The Lucy-Richardson algorithm implemented in the IRAF
STSDAS package (Lucy 1974) was used. Line and continuum
images were first subtracted before applying the algorithm. The
point spread function was taken from a portion of the continuum
image containing the bright (but unsaturated) star west of M 1–
92 (FWHM = 1.2 arcsec). The chi-square estimator provided by
the task reached a satisfactory value of 1.33 after 50 iterations,
with no significant change when more iterations are performed.
The resulting image is shown in Fig. 3c.
3. Results: HST data
Similar HST observations than those presented here have been
independently obtained and recently reported by Trammell and
Goodrich (1996). These authors observed about one month be-
fore us. The images of Hα, [OI] and [SII] emission given in
that paper also show the existence of a narrow line emission
structure in the center of both lobes. The exposure times of our
images are however higher by a factor 2 – 3 (except for the
F631N filter), which results in a better signal/noise ratio. Also
we present [OIII] maps, which allows the detection and study of
the high-excitation gas. As we will see, the HST data analysis is
quite different in both works. We have discussed more in detail
the scattered light spatial distribution and its subtraction from
the line filter images, also a fruitful comparison with emission
in H2 and CO lines is performed here; finally, our interpretation
of the origin of the atomic line emission is completely different.
3.1. Scattering of the stellar light
Most of the visible radiation from M 1–92 is the result of scat-
tering of stellar emission by nebular dust grains, as shown in
Sect. 2.1. The contribution of line emission in the wide filter
F547M, in which no intense nebular line is expected, is negli-
gible.
The morphology of the scattered light is best seen in the
F547M image in Fig. 1 (a). The image shows the presence of
substantial obscuration in a torus-like structure similar to that
found by Eiroa and Hodapp (1989). The inclination of the nebula
with respect to the plane of the sky (Sect. 1) leads to a system-
atically higher obscuration for the SE lobe. The F547M image
shows the presence of bright lanes which are almost parallel to
the axis and mostly seen in the northern lobe, that practically
envelop the whole nebula. Such bright lanes are almost coin-
V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission 365
Fig. 3a–c. H2 v=1-0 images. a continuum image at 2.26 µm. b H2 v=1-0 image after continuum subtraction. c H2 v=1-0 intensity image after
deconvolution of the point spread function. Contours, in logarithmic scale, are 4.5, 10, 22, 45, 100, etc, up to 10000 10−14 erg cm−2 s−1 µm−1
(per pixel, pixel size: 0.63 arcsec). Offsets are given in arc seconds.
cident with the lateral walls of the hollow, very dense shells
that constitute most of the CO nebula (Bujarrabal et al. 1994).
These lanes probably result from the relatively large density in
this shell with respect to the diffuse inner gas. At the lowest
intensity level, we note (a) the halo surrounding the bright NW
lobe, probably representing second order scattering of the lobe
light, and (b) the filament-like structures detected in both tips
of the nebula.
The magnitude and variation of scattered light, as a func-
tion of radius, can be used to make a rough estimate of the line-
of-sight optical depth. For an envelope with an inverse-square
density distribution, and optically-thin scattering, it can be eas-
ily shown that the surface brightness due to scattered light, S,
should vary as r−3 (r being the distance to the central star). In
M 1–92, the density structure of the envelope is complex, as
mentioned above, so S does not vary as r−3. This is shown in
cuts of the surface brightness, S, from the continuum image,
taken along three different radial vectors in Fig. 2. The dashed
line in the figure shows an r−3 variation for comparison.
The line-of-sight nebular scattering optical depth τ (λ)s,losat any point P, at a distance r from the central star, is related to
the surface brightness and the stellar flux incident at that point,
as follows (assuming no significant extinction of the starlight
from the star to P),
τ (λ)s,los/(4πφ2) =S(λ)
[L(λ)/(4πD2)],
where φ is the angular distance to P from the central star in
arcsec, S(λ) is the surface brightness per arcsec2, and D is the
distance to M 1–92 (see Sahai et al. 1998). We will assume
that Teff=20,000 K and Lbol=104 L⊙ for D=2500 pc. We find
that, e.g. at φ=4′′ in the NW lobe, the surface brightness is 15.6
mag arcsec−2, which gives τ (λ)s,los ∼ 0.32 at λ=0.55 µm. A
scattering opacity of 2.9 104 cm2g−1 (per unit mass of dust) will
be used to determine the mass in dust grains. Our assumption,
that the opacity along the path followed by the scattered light is
negligible, seems justified since we are measuring the scattered
light intensity in a low-density region, but we must keep in mind
that we are calculating a lower limit to the dust mass. We have
also assumed that most of the material along the line-of-sight is
localized at the same distance from the star, so that the incident
stellar flux does not vary significantly across the region which
contributes to the optical depth. In the case of an r−2 radial
density, accounting for the variation of the starlight and the
optical depth results in an increase in the derived optical depth
by a factor 2. If the density decreased more slowly (faster) than
r−2, this factor would be larger (smaller) than 2. In M 1–92,
we know that the material is more localized than expected from
such a dust density distribution, but the localization region is
not in the plane of the sky. We conservatively estimate that the
optical depth derived from the above equation is underestimated
by at most a factor 2 because of our simple treatment of the radial
density variation. If we further make the simplifying assumption
that the scattering material seen along the line-of-sight is the
same material which was originally part of the inverse-square
density AGB envelope along the same line-of-sight through P,
we can estimate that the dust mass-loss rate was larger than ∼
(3–6) 10−7 M⊙ yr−1.
An estimate of the dust mass-loss rate can also be de-
rived from modelling the IRAS far-infrared fluxes, using a
2-component dust emission model described by Sahai et al.(1991). The color-corrected IRAS fluxes used in this model
for M 1–92 are 14.5, 56.8, 124.9 and 71.1 Jy at 12, 25, 60,
and 100 µm, respectively. Assuming a dust emissivity of 150
cm2g−1 at 60 µm (Jura 1986), with a λ−p power-law variation
and p=1.1(1.5), we find that the masses and temperatures of
the 2 components are, respectively, 6.7(3.8) 10−3 and 2.1(1.2)
10−5 M⊙ and 61(71) and 158(183) K. An estimate to the time-
scale over which this mass of dust has been ejected is given
by the expansion time for CO, about 10000 yr (Bujarrabal et
al. 1997). We therefore find a dust mass-loss rate of about 6
10−7 M⊙ yr−1. We believe that the differing estimates of the
dust mass-loss rate from the IRAS and HST data are consistent
in view of the uncertainties of the assumptions, and adopt for
further discussion a value of the total mass in dust grains of 6
10−3 M⊙, corresponding to a mass-loss rate of about 6 10−7
366 V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission
M⊙ yr−1. The total gas mass derived from CO data by Bujarra-
bal et al. (1997) is about 1 M⊙, giving a gas-to-dust ratio of
about 160, comparable to the gas-to-dust ratio in O-rich AGB
envelopes (about 100–200).
3.2. Atomic line emission from the nebula
In Fig. 1 (c, d, e), we show the images obtained with filters
F631N ([OI] line) and F673N ([SII] lines). The original [OI] and
[SII] line emission images are clearly contaminated by scattered
stellar light, as we have mentioned, but they also show several
knots of emitting material that are not present in the continuum
map. Such clumps are mostly located in the axis of the neb-
ula and placed symmetrically at about 2.2 arcsec from the star
(NW and SE lobes) and at about 3.3 arcsec from the star to-
wards the SE. After subtraction of the contribution of scattering
(Sect. 2.1, Fig. 1 (d, e)), both lines show a very similar image
and the structure of these clumps is much more obvious. In
Fig. 4 we represent the distribution of this ‘intrinsic’ emission
intensity along the symmetry axis of both lines. In this figure
we also show a velocity-position diagram of the 13CO J=2-1
line emission (1mm wavelength) along the axis. (These 1mm
wavelength observations were obtained with the IRAM inter-
ferometer at Plateau de Bure with a resolution ∼ 1.5 arcsec;
they will be described in detail in a forthcoming paper.)
We also obtained images in Hα emission (F656N filter) and
[OIII] emission (F502N). Hα is comparable to the [OI] and [SII]
emission images, but the contrast with which the emitting knots
are seen is lower (Fig. 1b). In this line our method to subtract
the scattered light is less accurate due to the dominant contribu-
tion of the scattered stellar line emission (Sect. 2). The [OIII]
original image is quite similar to the continuum one, the emis-
sion knots are seen but very faint, indicating that the intrinsic
emission in this line is much weaker than in the others (see the
[OIII] emission image in Fig. 1f). The axial distribution of the
emission of the Hα and [OIII] lines, after scattering subtraction,
is shown also in Fig. 4.
The [OI] emission line image is shown in Fig. 5 (grey scale),
together with a representation of the 13CO image in contours.
We have shown CO maps at the representative velocities +/− 20
km s−1 (that probes the ‘hollow shell’ structure found in CO)
and +/− 39 km s−1 (that probes the fast gas at the tips of the
nebula), with respect to the systemic velocity. See Sect. 1 for
more details on the interpretation of the CO data.
In both NW and SE lobes, the [OI] and [SII] features are
elongated in the axial direction and show themselves structure.
At a larger distance from the star towards the SE, about 3.3 arc-
sec, we notice a remarkable emitting region perpendicular to
the axial direction. A weak counterpart may be seen in the NW
lobe (Fig. 4), but its presence is only tentative. We note in both
lobes the presence of lanes of weak [OI] and [SII] emission, de-
lineating the outer nebula shape at distances from the equatorial
plane ∼ 2 – 4 arcsec. Although in these weak features the errors
due to the subtraction are larger than for the main components
(Sect. 2), we believe that they are real emission features. The
tips of the nebula are not seen in [SII] and [OI] line emission.
Fig. 4. Intensity distribution of the 5500 A continuum and of the Hα,
[OI], [SII], and [OIII] line emission (after scattered light subtraction)
along the symmetry axis. Top: velocity-position diagram along the axis
of the 13CO J=2-1 mm-wave intensity.
4. Results: H2 vibrational emission
We also present ground-based images of M 1–92 in the near-IR.
A continuum image (2.26 µm) is shown in Fig. 3a, and Fig. 3b
shows the v=1-0 S(1) image at 2.12 µm, after subtraction of the
continuum contribution (Sect. 2). The measured line intensity
in the peak pixels is 3.2 10−14 erg cm−2 s−1, in the northern
lobe, and 2 10−14 erg cm−2 s−1 in the southern lobe. We also
detect a probable extension towards the north-west tip of the
nebula, occupying a region comparable to that detected in CO
high-velocity emission at mm wavelengths.
As we can see in Fig. 3b, the emission of the H2 ro-
vibrational line from the nebular lobes does not peak on the
line emission knots detected with the HST (Sect. 3.1), but about
0.5 arcsec farther (from the center) along the symmetry axis.
The H2 emission is extended, probably more than the atomic
optical lines. We have checked this result by comparing the H2
2 µm emission with the [OI] and [SII] optical line emissions,
after degrading the resolution of the HST original images to that
of the H2 ground-based data. The degraded atomic line images
appear less extended (especially in the direction perpendicu-
lar to the nebular axis) than the H2 line image. We have also
V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission 367
tried to deconvolve the point spread function from our 2.12 µm
line image (Sect. 2.2). The results are shown in Fig. 3c for the
H2 v=1-0 line image after continuum subtraction. As we see in
this figure, the deconvolution suggests a rich structure in the H2
line emission. In the north lobe, the H2 line comes from a re-
gion, surrounding the [OI] and [SII] emitting knots, that seems
intermediate between that probed by the atomic and CO line
emission. In the southern lobe, the H2 line emission peaks pre-
cisely between both main knots seen in [OI] or [SII], and shows
an extension much wider than the knots of atomic line emission.
We also observed the H2 v=2-1 line emission at 2.25 µm,
which is found to be much weaker than the v=1-0 line. After
subtraction of the continuum, we tentatively detect emission
at a level of about 4 10−15 erg cm−2 s−1. In the regions of
the M 1–92 lobes where we found the maximum of the v=1-
0 line, the intensity of the v=2-1 line is weaker by about a
factor 5–10.
4.1. Continuum emission at 2 µm wavelength
We have also applied the scattering analysis to the 2µm con-
tinuum emission from M 1–92. We used for this analysis our
2.26µm image, with a stellar PSF deconvolved following the
same procedure as for the line images. We find that the observed
surface brightness is significantly larger than the incident stellar
radiation in the nebular regions, e.g. the 2µm surface brightness
at a radius of 4′′ in the northern lobe (about 2.3 10−2 Jy arcsec−2)
is about 20 times larger than the value of the maximum possible
scattered intensity of the 2µm radiation from the central star
(the total flux from the northern and southern lobes is 0.36 and
0.09 Jy, respectively). We conclude that there must be a signifi-
cant increase in the 2µm flux from the central source, over that
contributed from the star, which probably results from thermal
emission from a compact, central region of hot dust. In support
of this hypothesis, we find that the total flux from the central
source as seen in the deconvolved image is about 3.5 Jy, roughly
a factor 20 larger than the expected 2µm black-body flux from
the central star. Adding a third high-temperature component to
the 2-component dust model described above (Sect. 3.1), we
find that a small mass of dust, <∼ 10−7 M⊙ (for p=1.1) to 10−8
M⊙ (for p=1.5), at T >∼ 600 K, can produce the observed 2µm
flux.
5. Shock interpretation of atomic and H2 line emission
5.1. HST atomic line observations
As already mentioned by several authors (Solf 1994, Trammell
et al. 1993, etc), the atomic line intensities found in M 1–92 cor-
respond to that expected from shocks with moderate excitation,
mainly for shock tracers as the [OI] and [SII] lines observed by
us. It is shown in Fig. 4 and 5 (Sect. 3.2) that the shocked mate-
rial probed by the atomic line emission is clearly placed inside
the molecular shell and associated to the symmetry axis of the
nebula. In fact, the shocked gas in our images is located in both
empty regions (‘holes’) left by the accelerated low-excitation
Fig. 5. Comparison of the [OI] emission (grey scale) with the 13CO
J=2-1 mm-wave intensity distribution at four representative velocities
with respect to the central one: +/− 20 km s−1 (that probes the ‘hollow
shell’ structure found in CO) and +/− 39 km s−1 (that probes the fast
CO ‘bipolar outflow’). The CO low velocity maps are represented by
the continuous contours at 30 and 70% of maximum; the high velocity
maps are given by the broken contours at half maximum intensity.
Positive/negative velocities are represented by thick/thin contours.
shell in the two lobes. Only the outer SE feature, with a charac-
teristic transverse shape (i.e. elongated perpendicularly to the
symmetry axis), reaches the CO shells. But very low [SII] or
[OI] emission is found in front of the molecular shell (i.e. close
to the axis and farther than 5 arcsec from the star). Since the CO
shell has certainly suffered strong shock acceleration (Sect. 1),
the leading bow-like shock must be located outwards. Such a
structure is not seen in our images. The shocks that are exciting
the line emission found in our observations must be propagating
in the bipolar post-AGB flow. In fact, the clumpy image of this
bipolar flow given by our images is similar to the sinuous chain
of knots often mapped in jets associated to young stellar objects
(e.g. Reipurth 1989, Heathcote et al. 1996).
The outermost SE feature, characterized by its transverse
shape, almost reaches the base of the CO axial tip. It cannot
be identified with the leading shock, but its position and shape
could be interpreted as indicating that the emitting gas is located
in the Mach disk, i.e. in the thin region in which the jet stops
and in which relatively strong excitation occurs. This interpre-
tation is also suggested by the finding of similar structures in
the interstellar medium, in which the Mach disk is identified as
the inner part of the boomerang-shaped structures at the end of
the jets (its outer part probably being the leading bow shock).
The fact that the emission from shocks inside the colliding
bipolar flow dominates over that coming from the leading bow
shock is expected from theoretical considerations. Shock fronts
are also expected in the jet due to variations in its direction and
368 V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission
velocity (Biro et al. 1995, Gouveia dal Pino and Benz 1994)
or, generally, to the development of conical shocks in it (e.g.Blondin et al. 1990). Such internal shocks are particularly in-
tense in the plane-parallel limit, in which they have being exten-
sively studied, see e.g. Frank and Mellema (1994). As shown by
Hartigan (1989) and Hartigan and Raymond (1993), the emis-
sion coming from the Mach disk and the shocks inside the jet is
expected to dominate over the emission from the leading bow
shock when the jet density is lower than the ambient gas density
(previous to shocks). The big contrast found in our observations
between the emission from the bipolar jet and the emission from
the bow leading shock indicates, if the above interpretation is
correct, that the jet density (prior to shocks) is smaller than that
of the AGB shell by a factor >∼ 10. The present mass loss rate
in PPNe is indeed believed to be low, in contrast to the high
mass-loss rate characteristic of the last AGB phases, which is
as high as 10−4 M⊙ yr−1 in the case of M 1–92 (Bujarrabal et
al. 1997). From these figures we estimate that the typical den-
sity (prior to shocks) of the impinging bipolar jet should be <∼
2 103 cm−3. Note that in interstellar Herbig-Haro objects it is
also possible to detect the leading bow shock, due to the high
density of the interstellar jets, that are thought to be denser than
the surrounding material.
We cannot rule out, as an alternative explanation to the ab-
sence of atomic emission from the leading shock, that this lead-
ing shock has entered a very diffuse region and is dissipating,
since the original density must strongly decrease with the dis-
tance to the star.
In the clumps in which the [SII] and [OI] emission arises,
[OIII] appears to be relatively weak but not negligible. If we
compare the flux intensities (after correcting for a visual ex-
tinction in the lobes of 3 mag, see Sect. 2) with predictions by
models (e.g. Hartigan et al. 1987), we deduce shock velocities
of about 200 km s−1, in agreement with previous works. Note
that the [OIII] emission is relatively weaker in the outermost
south-east condensation, which suggests a relatively lower ex-
citation. Although it is not clear whether or not in this case the
Mach disk is theoretically expected to show weaker [OIII] 5007
A emission than the countershocks in the jet (e.g. Icke et al.1992), the fact that this bar-like clump presents different exci-
tation conditions than the others supports its identification with
the Mach disk.
We then conclude that the model predictions mentioned
above are at least qualitatively in agreement with our results.
We must recall that such models have mainly been developed to
explain the interaction of jets from young stellar objects with the
ambient clouds and the emission from the leading bow-shock.
Therefore, their predictions cannot be safely applied to our case
and only a qualitative agreement is to be expected. The com-
parison of our images with detailed line emission models of
PPN shocks (e.g. Mellema 1993) is not satisfactory, since such
models do not predict emission along the symmetry axis (see
Sect. 6).
5.2. Ground-based H2 line observations
We have found that the distribution of the H2 ro-vibrational
emission is less compact than that of the atomic line emission,
and is located approximately between the atomic and the CO
emitting regions (Sect. 4). This result is compatible with the
excitation requirements of the H2 lines, as expected from the-
ory and confirmed by observations of interstellar Herbig-Haro
objects (see e.g. calculations by Raga et al. 1995 and observa-
tions by Noriega-Crespo and Garnavich 1994 and Davis et al.1994a,b). No detailed model for the vibrational H2 emission
from PPNe has been published.
We can estimate from our data the temperature and den-
sity in the shocked region responsible for the H2 emission. As
we have seen, the v=2-1 emission is significantly weaker than
that of the v=1-0 transition. H2 excitation by uv photon absorp-
tion and subsequent radiative cascades is therefore unlikely, and
the detected emission is probably due to collisional excitation
in shocked material (e.g. Shull and Beckwith 1982). This is
in agreement with results found in the protoplanetary nebulae
CRL2688 and CRL618 (see Hora and Latter 1994 and Beckwith
et al. 1984).
Our data do not rule out that the H2 emitting region is heated
by the stellar uv radiation and not by shocks, which is a possible
scenario (see Sternberg and Dalgarno, 1989) if the attenuation
of the stellar uv emission is low and the densities are larger
than 104 cm−3. The models also indicate, in certain intermedi-
ate cases with high uv fields and low kinetic temperatures, that
the excitation of the high-v H2 levels can be due to fluorescence,
though the density and collision probability are high enough to
dominate the deexcitation. Low S(1) v=2/v=1 ratios would be
then present, in spite of the radiative excitation, and this popula-
tion mechanism could also be compatible with our observations.
The existence of this composite excitation mechanism can only
be tested by comparing data on several rotational components of
each vibrational transition, which are not available for M 1–92.
However, we have discussed that the presence of intense shocks
in M 1–92 is almost certain and, moreover, that studies of the
similar nebulae CRL2688 and CRL618 show the excitation of
the high-v levels to be very probably collisional. Accordingly,
we favor the idea that the vibrational emission of H2 is due
to purely collisional excitation (in order to estimate the level
population) and that this situation takes place in a shocked en-
vironment (in order to compare the results with data from other
shocked regions in M 1–92).
Under this framework, the (collisional) excitation of the ob-
served transitions is relatively easy to formulate. The population
of the v=1 level is essentially given by excitation from the v=0
state. From the collisional rates in Draine et al. (1983), we can
see that the collisional vibrational excitation in this case is dom-
inated by the H–H2 interaction. We will assume that, in the H2
emitting region, about one half of the total number of particles
(n) are hydrogen atoms and that the other half are molecular
(e.g. Raga et al. 1995). For low-J levels, the collisional popula-
tion of the different rotational sublevels could be described by
the popular sudden approximation and, therefore, such excita-
V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission 369
tion rates are practically independent of the J level in the v=1
state. The a priori expected range of densities is ∼ 103 – 105
cm−3, from the values found by Bujarrabal et al. (1997) and
the discussion in Sect. 5.1. Under these conditions, we cannot
assume that the vibrational state populations are thermalized. In
the general case, it is easily shown that the population of a v=1
low-J level by collisions is given by
x1 = x0
nHC01
nHC10 + A10
.
Where x0 is the population (per magnetic sublevel) of the
low-J levels in the v=0 ground state, and C is the vibra-
tional excitation or deexcitation rate (taken from Draine et
al.); C01 and C10 are related by the usual reversibility relation,
C01 = C10exp(−6000/T ). Here the Einstein A-coefficient cor-
responds to the whole vibrational transition; it is taken to be 8.3
10−7 s−1 (Turner et al. 1977). Assuming that most molecules
are in the ground vibrational state and that the populations of
the rotational levels are thermalized to the kinetic temperature,
T (which is reasonable, given the very low probability of the
rotational radiative transitions), x0 is given by the inverse of the
partition function including the ortho and para species, i.e. x0
= 44/T (note that we are assuming that the relative population
of both H2 species is given by their statistical weights). We can
expect that the H2 emission is optically thin in actual cases, this
is due to the forbidden nature of such quadrupole transitions.
The number of photons emitted per second and unit volume
by an H2 v=1-0 transition is then
nph = x1gA10(J, J ′)nH2.
Where g is the degeneracy of the upperv=1J=3 level (for the ob-
served transition, g=21, taken into account the statistical weight
ratio for para/ortho molecular hydrogen), x1g is the population
of the upper level of the considered transition, A10(J, J ′) is its
Einstein A-coefficient for the observed component (taken from
Turner et al. 1977), and nH2is the local density of H2.
Combining the empirical data and the above formulation
we can derive the density and temperature in the H2 emitting
region. We deduce from our data that in the northern lobe there
is an emitting region with radius equal to 1 arcsec and an inte-
grated H2 v=1-0 S(1) flux equal to 3 10 −13 erg cm−2 s−1. In the
southern lobe, the corresponding radius and flux are 0.65 arcsec
and 1.5 10 −13 erg cm−2 s−1. The H2 v=2-1 S(1) emission is
much less well defined, we will assume that it comes from a
similar region and shows a flux 5 – 10 times weaker. Using the
adopted distance to M 1–92 (2.5 kpc, Sect. 1), we find from our
analysis of the H2 emission in M 1–92 a temperature T ∼ 1600
K and total densities n ∼ 6 103 cm−3. The physical conditions
determined from H2 emission are similar in both lobes since
the different sizes compensate the difference in flux. The total
mass of such regions is therefore ∼ 10−3 M⊙. The temperature
we derive is comparable to those deduced for the similar PPNe
CRL2688 and CRL618 by Hora and Latter (1994) and Beck-
with et al. (1982). However, these authors assume thermaliza-
tion of the vibrational states, which leads them to deduce some-
what smaller densities and total mass. For reasonable collisional
rates and the densities deduced from the calculations (from our
method or, still more clearly, from that followed for CRL2688
and CRL618) the collisions are clearly unable to thermalize the
vibrational state populations. The assumption of thermalization
in our case would lead to overestimations of the v=1 state by
about one order of magnitude.
In our calculations, the temperature is essentially given by
the v=1-0 / v=2-1 line ratio. Since the second line is poorly
measured, the derived temperature is not very accurate and may
represent an upper limit only. Unfortunately, the density deter-
mination is very dependent on the assumed temperature: if it is
equal to 1000 K, instead of 1600 K, the density should increase
by a factor ∼ 6. However, the temperature we have found is
characteristic of shocked H2 emitting gas in PPNe, as we have
seen, and we think that the given value can be considered as
reliable. On the other hand, once a value of the temperature is
assumed, the dependence of the estimated density on the ob-
served intensity is very smooth. (Note also that the collisional
population of the v=2 level is mainly done from the v=0 state,
which leads in our case to a v=2/v=1 population ratio much
higher than the v=1/v=0 ratio.)
The comparison of our results with the calculations for in-
terstellar shocks by Raga et al. (1995) appears very appealing,
although, as we will see, it must be performed with caution.
First, Raga et al. confirm the expected intermediate excitation
needed to detect H2 emission from shocked regions. These au-
thors also predict H2 emitting regions encircling the impinging
bipolar jet and defining a hood- or bow-shaped hollow structure,
which seems comparable to that observed in the M 1–92 north
lobe. However in the model by Raga et al., both optical and H2
lines come from (different regions of) the shocked ambient gas,
the equivalent of the accelerated AGB shell in a PPNe. (We must
recall here that our H2 maps are not very accurate; the map in
Fig. 3c has been obtained from a relatively uncertain differential
measurement and after applying a deconvolution process, see
Sect. 2.2.) In any case, our observations show that a detailed the-
oretical description of the protoplanetary wind interaction must
take into account the emission coming from shocks in both the
bipolar post-AGB flow and in the AGB shell.
6. Conclusions: the wind interaction processes in M 1–92
We present HST observations in the visible of atomic line
emission and ground-based observations in the near IR of H2
ro-vibrational emission. Our HST observations show that the
atomic line emission mainly comes from two chains of com-
pact spots placed inside the empty cavities detected in CO mi-
crowave emission (that are expected to represent the remnant
AGB shell accelerated by the passage of a shock front, Bujarra-
bal et al. 1997), see Figs. 1, 4, 5. Together with Hα, [OI] and
[SII] emission, we also find [OIII] 5007 A emission in such
spots; the intensity of this line, relative to the others, indicate
that the excitation conditions correspond to that of shocks with a
velocity of about 200 km s−1. The [OIII] emission is relatively
weaker in the southernmost bar-like clump, suggesting that the
excitation conditions in it are lower than for the others. H2 emis-
370 V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission
sion seems to come from more extended regions, intermediate
in excitation conditions between the regions emitting in CO and
in the atomic lines, see Fig. 3.
The spot chains in our HST data are clearly related to shocks
inside the post-AGB (very collimated) flow (Sect. 5.1). The out-
ermost bar-like clump in the south-east lobe shows a geometry
comparable to that expected in the Mach disk; this interpreta-
tion is in agreement with the different excitation state of this
clump. Our data do not support the interpretation of the atomic
line observations in M 1–92 by Trammell and Goodrich (1996).
These authors conclude that the emitting spots correspond to the
points in the outer shell where the bipolar jet impinges; the ob-
served position of these spots would be due to a large tilt of the
jet with respect to the symmetry axis, in the direction of the line
of sight. Their conclusions were in agreement with the popular
idea that shocked regions identified in PPNe correspond to the
spots in the dense AGB shell where the bipolar jet impinges
(e.g. Solf 1994), as well as with the fact that precession or wob-
bling seems to be relatively common in the collimated jets of
PNe and PPNe, producing well known point-symmetrical neb-
ulae (see Livio and Pringle 1996). In our images, however, the
coincidence of the spot alignment with the symmetry axis of the
nebula is so precise (Figs. 1, 5) and the spots are so accurately
placed in the center of the hollow molecular shell (Figs. 4, 5),
that it is very improbable that this distribution of the atomic line
spots is the result of a fortunate tilting angle of the jet.
Our atomic line results are in qualitative agreement with
shock models developed for Herbig-Haro interstellar knots
(Sect. 5.1). However, the most popular wind interaction the-
ory in protoplanetary and planetary nebulae does not seem to
be in agreement with our observations. Usual wind interaction
models for evolved star environments assume that the fast post-
AGB flow is little collimated (see Mellema and Frank 1995 and
references therein, see also the results from somewhat different
assumptions by Soker 1989). Although the predictions for the
distribution of atomic line emission intensity in these models
are not yet as developed as for the case of interstellar shocks
(Mellema and Frank 1995, Mellema 1993, 1995), it is clear
that they lead, as one could expect, to emitting regions extend-
ing well away from the symmetry axis and even close to the
equatorial plane. These results are very different from the knot
chains we have detected. (Such a predicted line emission dis-
tribution could in some way correspond to the relatively weak
lanes detected in the [OI] and [SII] images of M 1–92, mostly
in the NW lobe and parallel to the axis; as we have discussed in
Sect. 2, such lanes are probably real although their images can
be strongly affected by the continuum subtraction procedure.)
Other models (see Soker and Livio 1994 and references
therein) suggest the existence of very collimated jets in PPNe,
if there is an accretion disk around the central star(s). The the-
oretical line emission distribution in PPNe under the accreting
disk assumption has been scarcely developed; the predictions
cannot explain, in any case, our observations (see Cliffe et al.1995; note that in their results no emission from the shocks
propagating in the jet appears).
The H2 vibrational emission comes from a region less
strongly concentrated along the symmetry axis of the nebula
than for the optical lines, but it is still probably associated with
it. The H2 emission comes from regions intermediate in struc-
ture between the compact knots emitting in atomic lines and the
extended CO shell. In excitation conditions, the H2 emitting gas
is also intermediate between the very excited clumps emitting
in [SII], [OI], and [OIII] optical lines and the cold molecular
gas (that has been already accelerated but presents a kinetic
temperature as low as 15 – 20 K). These results are in good
agreement with predictions for H2 emission from shocks in in-
terstellar Herbig-Haro objects (Raga et al. 1995), that indicate
that H2 vibrational emission extend to wider regions than the
optical lines, due to its lower excitation requirements (although
the comparison between our observations and these calcula-
tions is not straightforward, see Sect. 5.2). Our H2 data allowed
to calculate the temperature and density in these intermediate
regions, assuming that collisions dominate the H2 vibrational
excitation. We find for them a temperature of about 1600 K
(confirming its middle excitation), a density ∼ 6 103 cm−3 and
a total mass ∼ 10−3 M⊙, much lower than the mass of the CO
shell (about 1 M⊙). The density of the H2 emitting region is
somewhat larger than the original average density expected for
the impinging bipolar jet (<∼ 2 103 cm−3, Sect. 5.1).
We conclude that models of the PPN dynamics must incor-
porate some new considerations in order to account for the new
experiments (at least for those calculations that include line in-
tensities and can be directly compared with our data). The main
difference between interstellar and PPN modelling studies is
that, in the interstellar models, the fast jets impinging on the
slow component are assumed to be very collimated (indepen-
dently of the ambient gas distribution) and the emission from the
shocks propagating in these jets is well studied. This yields the
prediction of the chain-like substructure often observed in inter-
stellar jets; in interstellar flows we can also observe the Mach
disk and the acceleration of the ambient gas by bow-shocks,
in agreement with theory. Precisely, these are also the most re-
markable observational characteristics of our data on M 1–92:
the jets appear collimated and structured similarly to the inter-
stellar case and the CO massive shell is probably accelerated
by wind interaction and very accurately shows a bow-shaped
structure (although in our images the leading bow-shock is not
detected). Also, models for interstellar shocks reproduce the
main properties of our H2 near-IR observations; but we must
note the lack of models predicting H2 vibrational emission for
the case of post-AGB shocks. We hope that it is possible to tune
the wind interaction models for PPNe in order to make their
predictions more compatible with observations. For instance,
the atomic line knots could correspond to features similar to
the axial chain of dense clumps predicted by Soker and Livio
(1989) and the hot axial clumps predicted by Icke et al. (1992),
from their models with collimated flows (note that these papers
do not include line intensity predictions).
These conclusions apply in principle for M 1–92, which re-
mains the best studied PPN at this respect. But we note that in
the other similar objects in which the observations are accurate
V. Bujarrabal et al.: The shock structure in the protoplanetary nebula M 1–92: atomic and H2 line emission 371
enough, like OH231.8+4.2 and He3-1475, the structure of the
jet emission (Reipurth 1987, Bobrowsky et al. 1995, Riera et
al. 1995) and of the accelerated molecular flows (Alcolea et al.1996) is quite comparable to that found in M 1–92. We accord-
ingly suggest that the picture of the wind interaction processes
depicted above may be a quite common characteristic of proto-
planetary evolution.
Acknowledgements. We are grateful to the anonymous referee of the
paper for his/her careful reading of the paper and fruitful comments. We
are particularly indebted to Alfonso Aragon-Salamanca for observing
and reducing the H2 NIR images for us at Calar Alto observatory. This
work has been partially supported by DGICYT, project number PB 93-
0048. RS is grateful for the partial support provided for this research
by NASA trough a grant from the STScI, operated by AURA, Inc.,
under NASA grant NAS 5-26555.
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