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Draft version May 30, 2011
                                                Preprint typeset using LTEX style emulateapj v. 11/10/09
                                                                       A




                                               A 100-PARSEC ELLIPTICAL AND TWISTED RING OF COLD AND DENSE MOLECULAR CLOUDS REVEALED BY
                                                                         HERSCHEL* AROUND THE GALACTIC CENTER.
                                              S. Molinari1 , J. Bally2 , A. Noriega-Crespo3 , M. Compi` gne3 , J. P. Bernard4 , D. Paradis4 , P. Martin5 , L. Testi 6, 7 , M. Barlow8 , T. Moore9 ,
                                                                                                         e
                                                 R. Plume10 , B. Swinyard8, 11 , A. Zavagno12 , L. Calzoletti13 , A. M. Di Giorgio1 , D. Elia1 , F. Faustini13 , P. Natoli14 , M. Pestalozzi1 , S.
                                                Pezzuto1 , F. Piacentini15 , G. Polenta13 , D. Polychroni1 , E. Schisano1 , A. Traficante14 , M. Veneziani15 , C. Battersby2 , M. Burton16 , S.
                                              Carey3 , Y. Fukui17 , J. Z. Li18 , S. D. Lord19 , L. Morgan9 , F. Motte20 , F. Schuller21 , G. S. Stringfellow2 , J. C. Tan22 , M. A. Thompson23 , D.
                                                                                                  Ward-Thompson24 , G. White11, 25 , G. Umana26
                                                                                                             Draft version May 30, 2011
arXiv:1105.5486v1 [astro-ph.GA] 27 May 2011




                                                                                                            ABSTRACT
                                                            Thermal images of cold dust in the Central Molecular Zone of the Milky Way, obtained with the far-infrared
                                                         cameras on-board the Herschel satellite, reveal a ∼ 3 × 107 M ring of dense and cold clouds orbiting the
                                                         Galactic Center. Using a simple toy-model, an elliptical shape having semi-major axes of 100 and 60 parsecs
                                                         is deduced. The major axis of this 100-pc ring is inclined by about 40◦ with respect to the plane-of-the-sky and
                                                         is oriented perpendicular to the major axes of the Galactic Bar. The 100-pc ring appears to trace the system of
                                                         stable x2 orbits predicted for the barred Galactic potential. Sgr A is displaced with respect to the geometrical
                                                         center of symmetry of the ring. The ring is twisted and its morphology suggests a flattening-ratio of 2 for the
                                                         Galactic potential, which is in good agreement with the bulge flattening ratio derived from the 2MASS data.
                                                         Subject headings: Galaxy: center — ISM: clouds

                                                                           1. INTRODUCTION                                   to about +1.5◦ and hosts the densest and most massive molec-
                                                Observations of the central regions of our Milky Way                         ular clouds in the Milky Way (Morris & Serabyn 1996). The
                                              Galaxy provide the nearest template for the study of the con-                  CMZ may be a Galactic analog of the nuclear star-forming
                                                                                                                             rings observed in the centers of star forming barred galaxies
                                              ditions in galactic nuclei in normal galaxies. The 3.6 × 106
                                                                                                                             (Kormendy & Kennicutt 2004, Kormendy & Cornell 2004).
                                              M black hole at the center dominates the Central Molecular
                                                                                                                             The CMZ contains tens of millions of solar masses of cold
                                              Zone (CMZ) which extends from Galactic longitude l = -1◦
                                                                                                                             interstellar matter (ISM) (Pierce-Price et al. 2000; Bally et al.
                                                  * Herschel is an ESA space observatory with science instruments pro-
                                                                                                                             2010) and harbors several of its most active sites of star for-
                                               vided by European-led Principal Investigator consortia and with important
                                                                                                                             mation such as Sgr A, Sgr B2, and Sgr C (Yusef-Zadeh et al.
                                               participation from NASA.                                                      2008,Yusef-Zadeh et al. 2009). The gas kinematics and dis-
                                                  1 INAF-IFSI, Via Fosso del Cavaliere 100, I-00133 Roma, Italy              tribution of near-infrared light indicate that the gravitational
                                                  2 CASA, University of Colorado, Boulder CO, USA 80309                      potential in the inner Galaxy is dominated by a bar with a ma-
                                                  3 Spitzer Science Center, Caltech, 91125 Pasadena, USA
                                                                                                                             jor axis inclined by about 20 to 45◦ with respect to our line-of
                                                  4 CNRS, IRAP, F-31028 Toulouse cedex 4, France
                                                  5 Department of Astron. & Astroph., University of Toronto, Canada
                                                                                                                             sight (Binney et al. 1991, Benjamin et al. 2003, Minchev et al.
                                                  6 ESO Headquarters, Garching, Germany
                                                                                                                             2007).
                                                  7 INAF-Osservatorio Astrofisico di Arcetri, 50125 Firenze, Italy               Despite the active star formation and bar dynamics, warm
                                                  8 Department of Physics and Astronomy, UCL, London, UK                     dust has been found to be a relative minor constituent in the
                                                  9 Astrophysics Research Institute, Liverpool John Moores University,       CMZ. Sodroski et al. (1994) used COBE/DIRBE data to con-
                                               UK                                                                            strain dust properties in the CMZ and Rodr´guez-Fern´ ndez
                                                                                                                                                                            ı          a
                                                  10 Department of Physics & Astronomy, University of Calgary, Canada
                                                                                                                             et al. (2004) presented ISO observations. These studies found
                                                  11 STFC, Rutherford Appleton Labs, Didcot, UK
                                                  12 LAM, Universit´ de Provence, Marseille, France
                                                                                                                             that 15 to 30% of the far-IR emission comes from molecu-
                                                                      e                                                      lar clouds with dust temperatures of about 19 K, 70 to 75%
                                                  13 ASI Science Data Center, I-00044 Frascati, Italy
                                                  14 Dipartimento di Fisica, Universit` di Roma ”Tor Vergata”, Roma,
                                                                                        a
                                                                                                                             arises from the HI phase with dust temperatures of 17 to 22
                                               Italy                                                                         K, and less than 10% is emitted by warm dust with T > 29
                                                  15 Dipartimento di Fisica, Universit` di Roma ”La Sapienza”, Roma,
                                                                                        a                                    K associated with the extended HII and warm (100 to 300 K)
                                               Italy                                                                         molecular phases traced by H+ absorption (Oka et al. 2005,
                                                                                                                                                             3
                                                  16 School of Physics, University of New South Wales, Australia
                                                                                                                             Goto et al. 2008). With Herschel we can now extend this type
                                                  17 Department of Astrophysics, Nagoya University, Nagoya, Japan
                                                  18 NAO, Chinese Academy of Sciences, Beijing, China
                                                                                                                             of analysis into a new domain of spatial resolution and sensi-
                                                  19 NASA Herschel Science Center, Caltech, 91125 Pasadena, USA
                                                                                                                             tivity.
                                                  20 Laboratoire AIM, CEA/DSM - INSU/CNRS - Universit´ Paris     e
                                                                                                                                In this Letter, we present the first high-angular resolution
                                               Diderot, IRFU/SAp CEA-Saclay, 91191 Gif-sur-Yvette, France                    maps of the CMZ far-IR dust emission, temperature, and col-
                                                  21 MPIfR-MPG, Bonn, Germany                                                umn density based on data obtained with the Herschel satellite
                                                  22 Departments of Astronomy & Physics, University of Florida,              (Pilbratt et al. 2010).
                                               Gainesville, FL 32611, USA
                                                  23 Centre for Astrophysics Research, Science and Technology Research
                                                                                                                                             2. OBSERVATIONS AND RESULTS
                                               Institute, University of Hertfordshire, Hatfield, UK
                                                  24 School of Physics and Astronomy, Cardiff University, Cardiff, UK            The Galactic Center was observed with Herschel as part
                                                  25 Department of Physics and Astronomy, The Open University, Milton        of the Hi-GAL Key-Project (the Herschel infrared Galactic
                                               Keynes, UK                                                                    Plane Survey, Molinari et al. 2010b). Observing strategy and
                                                  26 INAF-Osservatorio Astrofisico di Catania, Catania, Italy
                                                                                                                             basic data reduction are described in Molinari et al. (2010a)
2                                                                        Molinari et al.


                    0.400



                    0.300



                    0.200

                                                                  Arches Cluster                         Sgr A*
                                                                                                                                        Sgr C
                    0.100            Sgr B2
Galactic latitude




                    0.000



                    -0.100



                    -0.200

                                                                      Quintuplet Cluster
                    -0.300



                    -0.400



                    -0.500


                             0.800        0.600           0.400            0.200            0.000            359.800          359.600           359.400


                                                                                Galactic longitude

     Fig. 1.— Herschel PACS 70 µm image of the Galactic Center region. Labels identify known objects that are discussed in the text.
                                                                                                                                                2E+05     4E+05   6E+05 8E+05
and Traficante et al. (2011). The central 2◦ x2◦ region of the                        Bernard et al. (2010). Assuming constant dust properties, the
Galaxy was imaged in Parallel Mode by acquiring simultane-                           opacity is converted into a hydrogen column density (NH =
ously PACS (Poglitsch et al. 2010) and SPIRE (Griffin et al.                           NHI + NH2 ) using τ250 /NH = 8.8 10−26 cm2 /H. This value
2010) images in 5 photometric bands centered at 70, 160, 250,                        is estimated from latitudes b>0, and it could be higher by a
350 and 500 µm. SPIRE was used in ”bright-source mode”,                              factor 2 - 4 in the Galactic plane (Bernard et al. 2010) and
to minimize non-linearities and saturation in this very bright                       could change our mass estimates accordingly. The tempera-
region; preliminary SPIRE calibration checks indicate an ac-                         ture and column density maps (Figs. 3 and 4) represent the
curacy within 15% compared to standard SPIRE setting (M.                             integrated contribution of dust along the line of sight. High
Pohlen, priv. comm.). We corrected the zero-level in our                             opacity, cold dust appears in silhouette against the warmer
SPIRE and PACS images using offset values derived from the                            background even at 70 µm (fig. 1). Although the derived tem-
comparison with the Planck/IRAS data using the same proce-                           perature might be underestimated, a temperature map without
dure as in Bernard et al. (2010).                                                    the 70 µm data provides similar results.
   Figure 1 shows the PACS 70 µm image. Sgr A and Sgr                                   The detailed study of the great bubble visible in the 70 µm
B2 are the brightest spots, and the entire area is filled with                        and the temperature maps (figs. 1 and 3) will be presented in a
intense far-IR emission punctuated by several InfraRed Dark                          forthcoming paper. This Letter is dedicated to the analysis of
Clouds (IRDCs) seen in silhouette. A large bubble dominates                          the large-scale filaments visible in the far-IR (fig.2), that trace
at 70 µm from 0◦ < l < +0.20◦ but disappears at longer wave-
                   ∼ ∼                                                               a continuous chain of cold and dense clumps (Tdust ≤20 K;
lengths (see SPIRE 250 µm in fig. 2). At 250 µm Sgr B2 is the                         N(H) > 2 × 1023 cm−2 ) organized along an ∞-shaped feature
brightest feature (it is saturated at 250 µm). Two bent chains                       that dominates the image between the Sgr C complex at l =
of emission extend above and below the mid-plane from Sgr                            359.4◦ and Sgr B2 at 0.7◦ . The total projected extent is ∼1.4◦ ,
B2 to Sgr A , where they appear to cross, and continue on                            or about 180 pc, for a solar Galactocentric distance of 8.4 kpc
to Sgr C. This structure can also be identified in the SCUBA                          (Reid et al. 2009). Warmer dust with relatively lower column
map (Pierce-Price et al. 2000), but only the unique multi-band                       density (Tdust ≥25 K, N(H) < 2 × 1023 cm−2 ) fills the interior
far-IR/submm capabilities of the Herschel PACS and SPIRE                             of the ∞-shaped feature.
cameras make possible the determination of its temperature
and column density.                                                                        3. A 100-PARSEC ELLIPTICAL RING OF COLD AND DENSE
                                                                                                       MOLECULAR CLOUDS: THE X2 ORBITS
   Opacity and dust temperature are estimated from a pixel-
to-pixel fit to the 70-350 µm data (the resolution is matched                           The ∞-shaped feature in the temperature map in fig. 3 co-
to the 350 µm images – ∼25 ) using the DustEM model                                  incides with high-column density material (N(H) ≥ 2 × 1023
(Compi` gne et al. 2011) following the method described in
        e                                                                            cm−2 ) organized in a continuous chain of irregular clumps
                                                                                     (see fig. 4). Most of the cold, high column density clumps
The Herschel view of the Galactic Center                                                          3


                    0.400




                    0.300




                    0.200




                    0.100
Galactic latitude




                    0.000




                    -0.100




                    -0.200




                    -0.300




                    -0.400




                    -0.500

                             0.800   0.600          0.400            0.200               0.000         359.800             359.600      359.400

                                                                             Galactic longitude

   Fig. 2.— Herschel SPIRE 250 µm image of the Galactic Center region.
                                                                                                                                1E+05        2E+05    3E+05   4E+05

in the [l− , b− ] and [l+ , b+ ] arms of this feature are seen in sil-                 3.1. A simple model for the ∞-shaped feature: a 100-pc
houette against the 70 µm background (fig. 1); the same is not                                               elliptical twisted ring
true for clumps along the [l+ , b− ] and [l− , b+ ] arms. We con-                      A simplified toy model of the ∞-shaped feature is built as-
clude that the [l− , b− ] and [l+ , b+ ] arms are in front of the bulk              suming that the material is distributed along an elliptical orbit
of the warmer dust emission (i.e. between us and the Galactic                       (projected onto the Galactic Plane) with semi-axes [a, b] and
Center), while the [l− , b− ] and [l+ , b+ ] arms are located in the                major-axis position angle θ p . For simplicity, a constant orbital
background.                                                                         speed vorb is assumed. An additional sinusoidal vertical oscil-
   We use the CS survey by Tsuboi et al. (1999) (their fig. 4)                       lation component with a vertical frequency νz and a phase θz
to extract the radial velocity of CS condensations positionally                     is added to the equations of the ellipse describing the orbit.
coincident with the cold and dense peaks on varius positions                        Adopting a coordinate system with the x axis oriented toward
along the ∞-shaped feature in figs. 3 and 4. The position-                           negative longitudes, y axis pointing away along the line of
velocity information is averaged in latitude bins of 1.5 , so                       sight from the Sun, and z axes toward positive latitudes (see
the information can be extracted with some degree of approx-                        Fig. 5), the position and radial velocity of each point along the
imation but should be adequate to represent the mean velocity                       orbit is described as a function of the polar angle θt (counter-
of the various clouds and clumps. The full span of velocities                       clockwise from the x axes) as
found toward each position is reported in fig. 4.
   The [l− , b+ ] arm shows steadily increasing (in absolute val-                                 x = a cos θ cos θ − b sin θ sin θ
ues) negative velocities from the center of symmetry toward                                       y = a cos θ t sin θ p + b sin θ t cos θ p
                                                                                                 
                                                                                                 
                                                                                                               t      p           t       p
                                                                                                 
                                                                                                 
Sgr C indicating approaching material with increasing rela-                                       z = z sin ν (θ − θ )
                                                                                                       0      z p       z
tive speed. Following the [l− , b− ] arm from Sgr C back to
                                                                                                 
                                                                                                   vr = −vorb cos(θ p + θt )
                                                                                                 
                                                                                                 
the centre we find negative velocities decreasing and chang-
ing to positive (receding) values at l ∼359.8◦ . Continuing                           We let a, b, θ p and vorb vary until they match the observed
along the [l+ , b+ ] arm the radial velocities are still positive                   projected morphology of the ellipse and the distribution of
and slowly increasing, indicating material receding at higher                       radial velocities at 20 positions along the ∞-shaped feature.
and higher speeds up to Sgr B2. Finally along the [l+ , b− ]                        We keep z0 fixed at 15 pc, which is half of the measured b-
arm we see velocities decrease again going back toward the                          extent of the ∞-shaped feature; we also fix νz =2 in units of
center of symmetry of the ∞-shaped feature. The distribution                        the orbital frequency, as indicated by the projected twist shape
of radial velocities along the ∞-shaped feature seems to indi-                      (see §3.3). The fitting procedure minimizes a pseudo-χ2 value
cate an ordered, rotating pattern around its projected center of                    ξ
symmetry.
                                                                                                                 20
                                                                                                                       (vr − vobs )2
                                                                                                          ξ=                                         (1)
                                                                                                                 i=1
                                                                                                                          ∆vobs
4                                                                   Molinari et al.



                     0.400


                     0.300


                     0.200


                     0.100                                                                           Sgr A*
 Galactic latitude




                     0.000


                     -0.100

                                                                                      50 km/s cloud
                     -0.200                                                                             20 km/s cloud

                     -0.300


                     -0.400


                     -0.500
                              0.800    0.600            0.400           0.200         0.000              359.800        359.600     359.400
                                                                       Galactic longitude

 Fig. 3.— Temperature map of the Galactic Center region. The Log-color stretch extends from 15K to 40K on Sgr A .

   where ∆vobs is half of the velocity range toward each of the                N(H) value in the interior of ∞-shaped feature. The resulting
20 test positions (see fig. 4).                                                 ring mass is ∼ 3 × 107 M (it is ∼ 4 × 107 M without back-
   The best fit is obtained for 20 ellipse with a = 100pc,
                                   an                                          ground subtraction). Within the uncertainties, the derived ring
                                                                                       25                                 30                       35
b =60pc, θ p = −40◦ , and vorb =80 km s−1 ; θz ∼0 implying                     mass agrees with 5.3×107 M estimated from SCUBA maps
                                                                                                                     7
that the ring crosses the midplane along the X axes. These                     (Pierce-Price et al. 2000) and 3×10 M from CO data (Dah-
numbers should be taken with caution, as the velocities are                    men et al. 1998).
derived by eye from a plot. However, the discrepancy between                      The 100-pc ring traces gas and dust moving about the nu-
the model radial velocity and the observed ones is within ±25                  cleus on an elliptical orbit whose major axis (the straight red
km s−1 . The only exception is the 50 km s−1 cloud (see fig. 3)                 line in the right panel of fig. 5) is perpendicular to the major
located close in projection to Sgr A (see §3.2).                               axis of the great Galactic bar, oriented 20 to 45◦ with respect
   The CMZ has been the subject of many studies in mil-                        to our line-of-sight (see fig. 5). The 100-pc ring is likely lo-
limeter molecular tracers, and although the interpretation is                  cated on the so-called ‘x2 ’ orbit system, which precesses at
difficult for the extreme confusion along the line of sight,                     the same rate as the solid-body angular velocity of the Galac-
several features were identified. Sofue (1995) analysed the                     tic Bar, resulting in stable, non-intersecting trajectories (Bin-
CO data in Bally et al. (1987) and identified two large-scale                   ney et al. 1991). These x2 orbits are enclosed within another
structures (the ”Arms”). Tsuboi et al. (1999) recognized a                     larger system of stable orbits, called x1 , elongated along the
large-scale feature in their CS position-velocity diagram, that                Galactic Bar. The prominent Sgr B2 and Sgr C star-forming
they call ”Galactic Center Bow” which matches the [l− , b− ]-                  complexes are located at the two projected longitude extrema
[l+ , b+ ] arms of the ∞-shaped feature. The cold, high column-                of the 100-pc ring where gas on x1 and x2 orbits may collide,
density dust features identified in the Herschel images, used                   producing strong shocks which may trigger the formation of
as a proxy for the densest molecular gas, now indicate that the                massive molecular cloud formation as well as enhanced star
previously identified ”Arms” and the ”Galactic Center Bow”                      formation rates by the shock focusing mechanism suggested
are parts of a single, twisted and elliptical ring rotating around             by Kenney & Lord (1991) for the spiral-bar interface of M83.
Sgr A . Figure 5 presents a sketch of the proposed arrange-                       It is tempting to speculate that the 100-pc ring constitutes
ment of what we will call the100-pc ring.                                      the remnant of a more persistent dusty torus that may have
   A rough estimate of the ring mass is obtained by integrat-                  played a role in past AGN phases of our Galaxy. The recent
ing the N(H) map within a contour surrounding the 100-pc                       Fermi-LAT detection of a large gamma-ray bubble emanating
ring which encloses material with N(H) > 2 × 1023 cm−2 (for
                                             ∼                                 from the Galactic Center (Su et al. 2010, Crocker 2011, Zubo-
a corresponding solid angle of ∼ 4 × 10−5 sr). The contri-                     vas et al. 2011) provides possible evidence for such past ac-
bution of background or foreground gas is removed by sub-                      tivity. Mid-IR interferometry of AGNs reveals compact dusty
tracting a column density of N(H) = 2 × 1023 cm−2 , the mean                   structures with a radius of a few parsecs, (e.g. Jaffe et al.
The Herschel view of the Galactic Center                                                                5



                      0.400


                      0.300


                      0.200


                      0.100                                 0/+40
  Galactic latitude




                                                 +10/+50               +20/+50                                       -30/-80
                                                                                                        -40/-60
                                  +30/+70                                                   -30/0                                -70/-100
                      0.000                                                                                                                  -90/-110
                                +40/+90

                                       +10/+70                        +20/+40
                      -0.100                                                                   +30/+70
                                                                +10/+30                               0/+20
                                            +30/+70   +15/+50
                                                                                                                     -10/-35
                      -0.200                                                                                                                  -40/-70

                                                                                                                                 -20/-50
                      -0.300


                      -0.400


                      -0.500
                               0.800         0.600         0.400            0.200         0.000               359.800           359.600           359.400
                                                                           Galactic longitude

  Fig. 4.— Atomic hydrogen column density map of the Galactic Center region. Color scale shown is logarithmic and extends from 4 × 1022 cm−2 in the dark
regions, to 4 × 1025 cm−2 in the brightest region corresponding to Sgr B2. Velocity information is extracted from CS spectroscopic cubes (Tsuboi et al. 1999) for
the gas counterparts positionally associated with the dense dust clumps; the range values indicate the range where emission is observed.                  100000


2004, Radomski et al. 2008), but there is additional evidence                       of the ring than to its back; Sgr A may then not be in the ring
from Spitzer imaging and spectroscopy suggesting that larger                        center, nor lie along the ellipses axes. Proximity to Sgr A
and more persistent structures play a role in shaping observed                      could be the source of the roughly 40 km s−1 deviation of the
AGN properties (e.g. Shi et al. 2006, Quillen et al. 2006).                         radial velocity of the 50 km s−1 cloud from the value predicted
Model predictions (e.g. Krolik 2007) for torus column den-                          by the model of the rotating elliptical ring.
sity in excess of 1024 cm−2 , and orbital speed ∼100 km s−1 ,                          Given the extent of the 100-pc ring, its orbital motion is
seem to be consistent with the parameters we estimate for the                       driven by the enclosed gas and bulge stars. If, however,
100-pc ring.                                                                        ring material passes in proximity of Sgr A the gravitational
                                                                                    pull due to the strong mass concentration can be substan-
     3.2. The relation between the 100-pc ring and Sgr A                            tial. Indeed, the 3.6 × 106 M black hole in Sgr A domi-
   Sgr A is noticeably displaced ∼10 (24 pc in projection)                          nates the gravitational potential only to a radius of a few par-
towards the negative longitude side of the geometrical center                       secs. Beyond that distance the potential is dominated by the
of symmetry of the 100-pc ring. The ring displacement with                          stellar mass in the bulge with a radial density profile of the
respect to the supposed location of the Galactic Center is con-                     form ρ(r) ≈ ρ0 (r/rb )−α where α ≈ −1.9, rb ∼ 0.34pc and
sistent with the overall displacement of dense gas within the                       ρ0 ∼ 2.1 × 106 M /pc3 (Trippe et al. 2008). We then treat
CMZ. Two-thirds to three-quarters of the cold interstellar gas                      the gravitational pull from the Sgr A mass concentration as
and dust within the inner few hundred parsecs of the nucleus is                     an additional component over the general rotational motion.
at positive longitudes with respect to Sgr A (Bally et al. 1988,                    Using Newton’s 2nd law:
Morris & Serabyn 1996). A similar asymmetry is present in
the observed radial velocity on the 100-pc ring close to the                                                     GMC (r) ∆v
                                                                                                                        =                                    (2)
location of Sgr B2, as opposed to Sgr C (see fig. 4). This may                                                      r2     t0
indicate an additional pattern motion of ∼ 10 − 20 km s−1 of
the 100-pc ring as a whole along its major axes and toward                            where r is the distance between Sgr A and the two molec-
us, implying a ‘sloshing’ motion back and forth that could be                       ular clouds (that is assumed similar for the two clouds if they
explained as the response of the gas to an m=1 mode in the                          belong to the 100-pc ring), MC (r) is the mass enclosed in a
Galactic bar potential (Morris & Serabyn 1996).                                     sphere of radius r centered on Sgr A and t0 is the timescale
   The projected proximity of the 20 and 50 km s−1 clouds to                        for the cloud passing in front of Sgr A . The latter can be
Sgr A , has led to the suggestion (e.g. Herrnstein & Ho 2005)                       written as t0 = ∆x/vorb , where ∆x is the projected distance
that they are physically interacting with Sgr A . If they are                       between the 50 and 20 km s−1 clouds and vorb is their orbital
part of the 100-pc ring, then Sgr A must be closer to the front                     speed. Eq. 2 can then be rewritten
6                                                                         Molinari et al.




 Fig. 5.— Sketch of the proposed 3D structure and placement of the 100-pc ring. Left panel: the ring is represented by the thick color line (red and green mark
positions above and below b=0◦ . The line of sight to the Sun is along the Y axes. The thin full and dashed lines represent the major and minor axes of the ellipse.
Right panel: Top view of the 100-pc ring with the proposed location of major clouds. The thick black dashed lines represent the innermost x1 orbits. The position
of SgrA* along the line of sight is the one corresponding to the distance it should have from the front portion of the 100-pc ring to justify the velocity difference
between the 20 and 50 km s−1 clouds if due to the gravitational pull of the mass concentration around Sgr A (see text).

                                                                                     Tremaine 1987), in a harmonic oscillation both in radial and
                                     GMC (r)∆x                                       vertical directions. The vertical oscillation frequency can be
                           r=                                             (3)        expressed as
                                      ∆v vorb
   Using this formulation to estimate MC (r), the measured                                                                 ∂2 Φ
projected distance between the nearest edges of the two                                                            νz =
                                                                                                                    2
                                                                                                                                                                (5)
                                                                                                                           ∂z2    R,0
clouds of ∆x ∼ 7pc, and assuming an orbital speed of
80km s−1 from our toy model fit, Eq. 3 provides r ∼20 pc.                               The gravitational field along the z direction of the slab (ap-
In other words, to explain the difference in radial velocities                        proximated as infinite) is
between the 20 and 50 km s−1 clouds would require that Sgr
A is closer than 20pc to the foregreound arm of the 100-pc
ring.                                                                                                               Fz = 2πρ0Gh                                 (6)

    3.3. The ring’s twist: constraints on the flattening of the                          so that the period of the vertical oscillations is
                         Galactic potential
   Perhaps the most striking aspect of the 100-pc ring is its                                                                   2π
                                                                                                                    Pz =                                        (7)
twist. Apparently the gas in the ring oscillates twice about                                                                   ρ0G
the mid-plane each time it orbits the nucleus once. Assum-
ing the elliptical axes and the orbital speed derived from the                         As noted above, the ∞ shape that the ring displays in pro-
toy model, the orbital period is Po ∼ 3 × 106 years; the pe-                         jection implies that
riod of the vertical oscillations is therefore Pz ∼ 1.5 × 106
years. The coherence of the ring’s morphology suggests sta-
                                                                                                                       Po = 2Pz                                 (8)
bility over a few revolutions. Thus, the relationship between
Po and Pz can be used to infer constraints on the flattening of                          or, using Eqs. 4 and 7,
the gravitational potential in the CMZ. Assuming as a gross
approximation that the matter (gas and stars) is distributed in                                                               R
a uniform-density ρ0 slab of thickness h, Po at a distance R                                                            h=                                      (9)
can then be expressed as                                                                                                      2
                                                                                       The shape of the 100-pc ring would therefore imply a flat-
                                        4πR                                          tened potential in the CMZ that is consistent with a x/z = 0.5
                              Po =                                        (4)        axial ratio bulge mass distribution, remarkably similar to the
                                        Gρ0 h
                                                                                     value of 0.5−0.6 recently derived (Rodriguez-Fernandez &
  A perturbation on a particle rotating in the flattened slab                         Combes 2008) fitting the 2MASS data to a potential model
potential will result, in a 1 st -order approximation (Binney &                      that includes the bulge and the nuclear bar.
The Herschel view of the Galactic Center                                                                7

                             4. CONCLUSIONS                                        the Galactic Center gravitational potential, consistent with the
   The far-infrared multi-band images provided by the Hi-                          value derived from bulge star 2MASS number counts.
GAL survey using the Herschel PACS and SPIRE cameras
provide evidence for a 100x60 parsecs elliptical ring of cold                        Data processing has been possible thanks to ASI support
and dense clouds orbiting around the Galactic Center on x2                         via contract I/038/080/0. We thank the referee, M. Morris,
orbits elongated along the minor axis of the Galactic cen-                         whose comments led to a more focused paper. We thank L.
ter Bar. The ring is twisted with a vertical frequency that is                     Spinoglio, N. Sacchi and A. Marconi for useful discussions on
twice the orbit frequency, indicating a flattening-ratio of 2 for                   AGNs, and M. Pohlen and the SPIRE ICC for the preliminary
                                                                                   analysis of the SPIRE ”bright source mode” calibration.
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A 100 parsec elliptical and twisted ring of cold and dense molecular clouds revealed by herschel around the galactic center

  • 1. Draft version May 30, 2011 Preprint typeset using LTEX style emulateapj v. 11/10/09 A A 100-PARSEC ELLIPTICAL AND TWISTED RING OF COLD AND DENSE MOLECULAR CLOUDS REVEALED BY HERSCHEL* AROUND THE GALACTIC CENTER. S. Molinari1 , J. Bally2 , A. Noriega-Crespo3 , M. Compi` gne3 , J. P. Bernard4 , D. Paradis4 , P. Martin5 , L. Testi 6, 7 , M. Barlow8 , T. Moore9 , e R. Plume10 , B. Swinyard8, 11 , A. Zavagno12 , L. Calzoletti13 , A. M. Di Giorgio1 , D. Elia1 , F. Faustini13 , P. Natoli14 , M. Pestalozzi1 , S. Pezzuto1 , F. Piacentini15 , G. Polenta13 , D. Polychroni1 , E. Schisano1 , A. Traficante14 , M. Veneziani15 , C. Battersby2 , M. Burton16 , S. Carey3 , Y. Fukui17 , J. Z. Li18 , S. D. Lord19 , L. Morgan9 , F. Motte20 , F. Schuller21 , G. S. Stringfellow2 , J. C. Tan22 , M. A. Thompson23 , D. Ward-Thompson24 , G. White11, 25 , G. Umana26 Draft version May 30, 2011 arXiv:1105.5486v1 [astro-ph.GA] 27 May 2011 ABSTRACT Thermal images of cold dust in the Central Molecular Zone of the Milky Way, obtained with the far-infrared cameras on-board the Herschel satellite, reveal a ∼ 3 × 107 M ring of dense and cold clouds orbiting the Galactic Center. Using a simple toy-model, an elliptical shape having semi-major axes of 100 and 60 parsecs is deduced. The major axis of this 100-pc ring is inclined by about 40◦ with respect to the plane-of-the-sky and is oriented perpendicular to the major axes of the Galactic Bar. The 100-pc ring appears to trace the system of stable x2 orbits predicted for the barred Galactic potential. Sgr A is displaced with respect to the geometrical center of symmetry of the ring. The ring is twisted and its morphology suggests a flattening-ratio of 2 for the Galactic potential, which is in good agreement with the bulge flattening ratio derived from the 2MASS data. Subject headings: Galaxy: center — ISM: clouds 1. INTRODUCTION to about +1.5◦ and hosts the densest and most massive molec- Observations of the central regions of our Milky Way ular clouds in the Milky Way (Morris & Serabyn 1996). The Galaxy provide the nearest template for the study of the con- CMZ may be a Galactic analog of the nuclear star-forming rings observed in the centers of star forming barred galaxies ditions in galactic nuclei in normal galaxies. The 3.6 × 106 (Kormendy & Kennicutt 2004, Kormendy & Cornell 2004). M black hole at the center dominates the Central Molecular The CMZ contains tens of millions of solar masses of cold Zone (CMZ) which extends from Galactic longitude l = -1◦ interstellar matter (ISM) (Pierce-Price et al. 2000; Bally et al. * Herschel is an ESA space observatory with science instruments pro- 2010) and harbors several of its most active sites of star for- vided by European-led Principal Investigator consortia and with important mation such as Sgr A, Sgr B2, and Sgr C (Yusef-Zadeh et al. participation from NASA. 2008,Yusef-Zadeh et al. 2009). The gas kinematics and dis- 1 INAF-IFSI, Via Fosso del Cavaliere 100, I-00133 Roma, Italy tribution of near-infrared light indicate that the gravitational 2 CASA, University of Colorado, Boulder CO, USA 80309 potential in the inner Galaxy is dominated by a bar with a ma- 3 Spitzer Science Center, Caltech, 91125 Pasadena, USA jor axis inclined by about 20 to 45◦ with respect to our line-of 4 CNRS, IRAP, F-31028 Toulouse cedex 4, France 5 Department of Astron. & Astroph., University of Toronto, Canada sight (Binney et al. 1991, Benjamin et al. 2003, Minchev et al. 6 ESO Headquarters, Garching, Germany 2007). 7 INAF-Osservatorio Astrofisico di Arcetri, 50125 Firenze, Italy Despite the active star formation and bar dynamics, warm 8 Department of Physics and Astronomy, UCL, London, UK dust has been found to be a relative minor constituent in the 9 Astrophysics Research Institute, Liverpool John Moores University, CMZ. Sodroski et al. (1994) used COBE/DIRBE data to con- UK strain dust properties in the CMZ and Rodr´guez-Fern´ ndez ı a 10 Department of Physics & Astronomy, University of Calgary, Canada et al. (2004) presented ISO observations. These studies found 11 STFC, Rutherford Appleton Labs, Didcot, UK 12 LAM, Universit´ de Provence, Marseille, France that 15 to 30% of the far-IR emission comes from molecu- e lar clouds with dust temperatures of about 19 K, 70 to 75% 13 ASI Science Data Center, I-00044 Frascati, Italy 14 Dipartimento di Fisica, Universit` di Roma ”Tor Vergata”, Roma, a arises from the HI phase with dust temperatures of 17 to 22 Italy K, and less than 10% is emitted by warm dust with T > 29 15 Dipartimento di Fisica, Universit` di Roma ”La Sapienza”, Roma, a K associated with the extended HII and warm (100 to 300 K) Italy molecular phases traced by H+ absorption (Oka et al. 2005, 3 16 School of Physics, University of New South Wales, Australia Goto et al. 2008). With Herschel we can now extend this type 17 Department of Astrophysics, Nagoya University, Nagoya, Japan 18 NAO, Chinese Academy of Sciences, Beijing, China of analysis into a new domain of spatial resolution and sensi- 19 NASA Herschel Science Center, Caltech, 91125 Pasadena, USA tivity. 20 Laboratoire AIM, CEA/DSM - INSU/CNRS - Universit´ Paris e In this Letter, we present the first high-angular resolution Diderot, IRFU/SAp CEA-Saclay, 91191 Gif-sur-Yvette, France maps of the CMZ far-IR dust emission, temperature, and col- 21 MPIfR-MPG, Bonn, Germany umn density based on data obtained with the Herschel satellite 22 Departments of Astronomy & Physics, University of Florida, (Pilbratt et al. 2010). Gainesville, FL 32611, USA 23 Centre for Astrophysics Research, Science and Technology Research 2. OBSERVATIONS AND RESULTS Institute, University of Hertfordshire, Hatfield, UK 24 School of Physics and Astronomy, Cardiff University, Cardiff, UK The Galactic Center was observed with Herschel as part 25 Department of Physics and Astronomy, The Open University, Milton of the Hi-GAL Key-Project (the Herschel infrared Galactic Keynes, UK Plane Survey, Molinari et al. 2010b). Observing strategy and 26 INAF-Osservatorio Astrofisico di Catania, Catania, Italy basic data reduction are described in Molinari et al. (2010a)
  • 2. 2 Molinari et al. 0.400 0.300 0.200 Arches Cluster Sgr A* Sgr C 0.100 Sgr B2 Galactic latitude 0.000 -0.100 -0.200 Quintuplet Cluster -0.300 -0.400 -0.500 0.800 0.600 0.400 0.200 0.000 359.800 359.600 359.400 Galactic longitude Fig. 1.— Herschel PACS 70 µm image of the Galactic Center region. Labels identify known objects that are discussed in the text. 2E+05 4E+05 6E+05 8E+05 and Traficante et al. (2011). The central 2◦ x2◦ region of the Bernard et al. (2010). Assuming constant dust properties, the Galaxy was imaged in Parallel Mode by acquiring simultane- opacity is converted into a hydrogen column density (NH = ously PACS (Poglitsch et al. 2010) and SPIRE (Griffin et al. NHI + NH2 ) using τ250 /NH = 8.8 10−26 cm2 /H. This value 2010) images in 5 photometric bands centered at 70, 160, 250, is estimated from latitudes b>0, and it could be higher by a 350 and 500 µm. SPIRE was used in ”bright-source mode”, factor 2 - 4 in the Galactic plane (Bernard et al. 2010) and to minimize non-linearities and saturation in this very bright could change our mass estimates accordingly. The tempera- region; preliminary SPIRE calibration checks indicate an ac- ture and column density maps (Figs. 3 and 4) represent the curacy within 15% compared to standard SPIRE setting (M. integrated contribution of dust along the line of sight. High Pohlen, priv. comm.). We corrected the zero-level in our opacity, cold dust appears in silhouette against the warmer SPIRE and PACS images using offset values derived from the background even at 70 µm (fig. 1). Although the derived tem- comparison with the Planck/IRAS data using the same proce- perature might be underestimated, a temperature map without dure as in Bernard et al. (2010). the 70 µm data provides similar results. Figure 1 shows the PACS 70 µm image. Sgr A and Sgr The detailed study of the great bubble visible in the 70 µm B2 are the brightest spots, and the entire area is filled with and the temperature maps (figs. 1 and 3) will be presented in a intense far-IR emission punctuated by several InfraRed Dark forthcoming paper. This Letter is dedicated to the analysis of Clouds (IRDCs) seen in silhouette. A large bubble dominates the large-scale filaments visible in the far-IR (fig.2), that trace at 70 µm from 0◦ < l < +0.20◦ but disappears at longer wave- ∼ ∼ a continuous chain of cold and dense clumps (Tdust ≤20 K; lengths (see SPIRE 250 µm in fig. 2). At 250 µm Sgr B2 is the N(H) > 2 × 1023 cm−2 ) organized along an ∞-shaped feature brightest feature (it is saturated at 250 µm). Two bent chains that dominates the image between the Sgr C complex at l = of emission extend above and below the mid-plane from Sgr 359.4◦ and Sgr B2 at 0.7◦ . The total projected extent is ∼1.4◦ , B2 to Sgr A , where they appear to cross, and continue on or about 180 pc, for a solar Galactocentric distance of 8.4 kpc to Sgr C. This structure can also be identified in the SCUBA (Reid et al. 2009). Warmer dust with relatively lower column map (Pierce-Price et al. 2000), but only the unique multi-band density (Tdust ≥25 K, N(H) < 2 × 1023 cm−2 ) fills the interior far-IR/submm capabilities of the Herschel PACS and SPIRE of the ∞-shaped feature. cameras make possible the determination of its temperature and column density. 3. A 100-PARSEC ELLIPTICAL RING OF COLD AND DENSE MOLECULAR CLOUDS: THE X2 ORBITS Opacity and dust temperature are estimated from a pixel- to-pixel fit to the 70-350 µm data (the resolution is matched The ∞-shaped feature in the temperature map in fig. 3 co- to the 350 µm images – ∼25 ) using the DustEM model incides with high-column density material (N(H) ≥ 2 × 1023 (Compi` gne et al. 2011) following the method described in e cm−2 ) organized in a continuous chain of irregular clumps (see fig. 4). Most of the cold, high column density clumps
  • 3. The Herschel view of the Galactic Center 3 0.400 0.300 0.200 0.100 Galactic latitude 0.000 -0.100 -0.200 -0.300 -0.400 -0.500 0.800 0.600 0.400 0.200 0.000 359.800 359.600 359.400 Galactic longitude Fig. 2.— Herschel SPIRE 250 µm image of the Galactic Center region. 1E+05 2E+05 3E+05 4E+05 in the [l− , b− ] and [l+ , b+ ] arms of this feature are seen in sil- 3.1. A simple model for the ∞-shaped feature: a 100-pc houette against the 70 µm background (fig. 1); the same is not elliptical twisted ring true for clumps along the [l+ , b− ] and [l− , b+ ] arms. We con- A simplified toy model of the ∞-shaped feature is built as- clude that the [l− , b− ] and [l+ , b+ ] arms are in front of the bulk suming that the material is distributed along an elliptical orbit of the warmer dust emission (i.e. between us and the Galactic (projected onto the Galactic Plane) with semi-axes [a, b] and Center), while the [l− , b− ] and [l+ , b+ ] arms are located in the major-axis position angle θ p . For simplicity, a constant orbital background. speed vorb is assumed. An additional sinusoidal vertical oscil- We use the CS survey by Tsuboi et al. (1999) (their fig. 4) lation component with a vertical frequency νz and a phase θz to extract the radial velocity of CS condensations positionally is added to the equations of the ellipse describing the orbit. coincident with the cold and dense peaks on varius positions Adopting a coordinate system with the x axis oriented toward along the ∞-shaped feature in figs. 3 and 4. The position- negative longitudes, y axis pointing away along the line of velocity information is averaged in latitude bins of 1.5 , so sight from the Sun, and z axes toward positive latitudes (see the information can be extracted with some degree of approx- Fig. 5), the position and radial velocity of each point along the imation but should be adequate to represent the mean velocity orbit is described as a function of the polar angle θt (counter- of the various clouds and clumps. The full span of velocities clockwise from the x axes) as found toward each position is reported in fig. 4. The [l− , b+ ] arm shows steadily increasing (in absolute val-  x = a cos θ cos θ − b sin θ sin θ ues) negative velocities from the center of symmetry toward  y = a cos θ t sin θ p + b sin θ t cos θ p   t p t p   Sgr C indicating approaching material with increasing rela-  z = z sin ν (θ − θ )  0 z p z tive speed. Following the [l− , b− ] arm from Sgr C back to  vr = −vorb cos(θ p + θt )   the centre we find negative velocities decreasing and chang- ing to positive (receding) values at l ∼359.8◦ . Continuing We let a, b, θ p and vorb vary until they match the observed along the [l+ , b+ ] arm the radial velocities are still positive projected morphology of the ellipse and the distribution of and slowly increasing, indicating material receding at higher radial velocities at 20 positions along the ∞-shaped feature. and higher speeds up to Sgr B2. Finally along the [l+ , b− ] We keep z0 fixed at 15 pc, which is half of the measured b- arm we see velocities decrease again going back toward the extent of the ∞-shaped feature; we also fix νz =2 in units of center of symmetry of the ∞-shaped feature. The distribution the orbital frequency, as indicated by the projected twist shape of radial velocities along the ∞-shaped feature seems to indi- (see §3.3). The fitting procedure minimizes a pseudo-χ2 value cate an ordered, rotating pattern around its projected center of ξ symmetry. 20 (vr − vobs )2 ξ= (1) i=1 ∆vobs
  • 4. 4 Molinari et al. 0.400 0.300 0.200 0.100 Sgr A* Galactic latitude 0.000 -0.100 50 km/s cloud -0.200 20 km/s cloud -0.300 -0.400 -0.500 0.800 0.600 0.400 0.200 0.000 359.800 359.600 359.400 Galactic longitude Fig. 3.— Temperature map of the Galactic Center region. The Log-color stretch extends from 15K to 40K on Sgr A . where ∆vobs is half of the velocity range toward each of the N(H) value in the interior of ∞-shaped feature. The resulting 20 test positions (see fig. 4). ring mass is ∼ 3 × 107 M (it is ∼ 4 × 107 M without back- The best fit is obtained for 20 ellipse with a = 100pc, an ground subtraction). Within the uncertainties, the derived ring 25 30 35 b =60pc, θ p = −40◦ , and vorb =80 km s−1 ; θz ∼0 implying mass agrees with 5.3×107 M estimated from SCUBA maps 7 that the ring crosses the midplane along the X axes. These (Pierce-Price et al. 2000) and 3×10 M from CO data (Dah- numbers should be taken with caution, as the velocities are men et al. 1998). derived by eye from a plot. However, the discrepancy between The 100-pc ring traces gas and dust moving about the nu- the model radial velocity and the observed ones is within ±25 cleus on an elliptical orbit whose major axis (the straight red km s−1 . The only exception is the 50 km s−1 cloud (see fig. 3) line in the right panel of fig. 5) is perpendicular to the major located close in projection to Sgr A (see §3.2). axis of the great Galactic bar, oriented 20 to 45◦ with respect The CMZ has been the subject of many studies in mil- to our line-of-sight (see fig. 5). The 100-pc ring is likely lo- limeter molecular tracers, and although the interpretation is cated on the so-called ‘x2 ’ orbit system, which precesses at difficult for the extreme confusion along the line of sight, the same rate as the solid-body angular velocity of the Galac- several features were identified. Sofue (1995) analysed the tic Bar, resulting in stable, non-intersecting trajectories (Bin- CO data in Bally et al. (1987) and identified two large-scale ney et al. 1991). These x2 orbits are enclosed within another structures (the ”Arms”). Tsuboi et al. (1999) recognized a larger system of stable orbits, called x1 , elongated along the large-scale feature in their CS position-velocity diagram, that Galactic Bar. The prominent Sgr B2 and Sgr C star-forming they call ”Galactic Center Bow” which matches the [l− , b− ]- complexes are located at the two projected longitude extrema [l+ , b+ ] arms of the ∞-shaped feature. The cold, high column- of the 100-pc ring where gas on x1 and x2 orbits may collide, density dust features identified in the Herschel images, used producing strong shocks which may trigger the formation of as a proxy for the densest molecular gas, now indicate that the massive molecular cloud formation as well as enhanced star previously identified ”Arms” and the ”Galactic Center Bow” formation rates by the shock focusing mechanism suggested are parts of a single, twisted and elliptical ring rotating around by Kenney & Lord (1991) for the spiral-bar interface of M83. Sgr A . Figure 5 presents a sketch of the proposed arrange- It is tempting to speculate that the 100-pc ring constitutes ment of what we will call the100-pc ring. the remnant of a more persistent dusty torus that may have A rough estimate of the ring mass is obtained by integrat- played a role in past AGN phases of our Galaxy. The recent ing the N(H) map within a contour surrounding the 100-pc Fermi-LAT detection of a large gamma-ray bubble emanating ring which encloses material with N(H) > 2 × 1023 cm−2 (for ∼ from the Galactic Center (Su et al. 2010, Crocker 2011, Zubo- a corresponding solid angle of ∼ 4 × 10−5 sr). The contri- vas et al. 2011) provides possible evidence for such past ac- bution of background or foreground gas is removed by sub- tivity. Mid-IR interferometry of AGNs reveals compact dusty tracting a column density of N(H) = 2 × 1023 cm−2 , the mean structures with a radius of a few parsecs, (e.g. Jaffe et al.
  • 5. The Herschel view of the Galactic Center 5 0.400 0.300 0.200 0.100 0/+40 Galactic latitude +10/+50 +20/+50 -30/-80 -40/-60 +30/+70 -30/0 -70/-100 0.000 -90/-110 +40/+90 +10/+70 +20/+40 -0.100 +30/+70 +10/+30 0/+20 +30/+70 +15/+50 -10/-35 -0.200 -40/-70 -20/-50 -0.300 -0.400 -0.500 0.800 0.600 0.400 0.200 0.000 359.800 359.600 359.400 Galactic longitude Fig. 4.— Atomic hydrogen column density map of the Galactic Center region. Color scale shown is logarithmic and extends from 4 × 1022 cm−2 in the dark regions, to 4 × 1025 cm−2 in the brightest region corresponding to Sgr B2. Velocity information is extracted from CS spectroscopic cubes (Tsuboi et al. 1999) for the gas counterparts positionally associated with the dense dust clumps; the range values indicate the range where emission is observed. 100000 2004, Radomski et al. 2008), but there is additional evidence of the ring than to its back; Sgr A may then not be in the ring from Spitzer imaging and spectroscopy suggesting that larger center, nor lie along the ellipses axes. Proximity to Sgr A and more persistent structures play a role in shaping observed could be the source of the roughly 40 km s−1 deviation of the AGN properties (e.g. Shi et al. 2006, Quillen et al. 2006). radial velocity of the 50 km s−1 cloud from the value predicted Model predictions (e.g. Krolik 2007) for torus column den- by the model of the rotating elliptical ring. sity in excess of 1024 cm−2 , and orbital speed ∼100 km s−1 , Given the extent of the 100-pc ring, its orbital motion is seem to be consistent with the parameters we estimate for the driven by the enclosed gas and bulge stars. If, however, 100-pc ring. ring material passes in proximity of Sgr A the gravitational pull due to the strong mass concentration can be substan- 3.2. The relation between the 100-pc ring and Sgr A tial. Indeed, the 3.6 × 106 M black hole in Sgr A domi- Sgr A is noticeably displaced ∼10 (24 pc in projection) nates the gravitational potential only to a radius of a few par- towards the negative longitude side of the geometrical center secs. Beyond that distance the potential is dominated by the of symmetry of the 100-pc ring. The ring displacement with stellar mass in the bulge with a radial density profile of the respect to the supposed location of the Galactic Center is con- form ρ(r) ≈ ρ0 (r/rb )−α where α ≈ −1.9, rb ∼ 0.34pc and sistent with the overall displacement of dense gas within the ρ0 ∼ 2.1 × 106 M /pc3 (Trippe et al. 2008). We then treat CMZ. Two-thirds to three-quarters of the cold interstellar gas the gravitational pull from the Sgr A mass concentration as and dust within the inner few hundred parsecs of the nucleus is an additional component over the general rotational motion. at positive longitudes with respect to Sgr A (Bally et al. 1988, Using Newton’s 2nd law: Morris & Serabyn 1996). A similar asymmetry is present in the observed radial velocity on the 100-pc ring close to the GMC (r) ∆v = (2) location of Sgr B2, as opposed to Sgr C (see fig. 4). This may r2 t0 indicate an additional pattern motion of ∼ 10 − 20 km s−1 of the 100-pc ring as a whole along its major axes and toward where r is the distance between Sgr A and the two molec- us, implying a ‘sloshing’ motion back and forth that could be ular clouds (that is assumed similar for the two clouds if they explained as the response of the gas to an m=1 mode in the belong to the 100-pc ring), MC (r) is the mass enclosed in a Galactic bar potential (Morris & Serabyn 1996). sphere of radius r centered on Sgr A and t0 is the timescale The projected proximity of the 20 and 50 km s−1 clouds to for the cloud passing in front of Sgr A . The latter can be Sgr A , has led to the suggestion (e.g. Herrnstein & Ho 2005) written as t0 = ∆x/vorb , where ∆x is the projected distance that they are physically interacting with Sgr A . If they are between the 50 and 20 km s−1 clouds and vorb is their orbital part of the 100-pc ring, then Sgr A must be closer to the front speed. Eq. 2 can then be rewritten
  • 6. 6 Molinari et al. Fig. 5.— Sketch of the proposed 3D structure and placement of the 100-pc ring. Left panel: the ring is represented by the thick color line (red and green mark positions above and below b=0◦ . The line of sight to the Sun is along the Y axes. The thin full and dashed lines represent the major and minor axes of the ellipse. Right panel: Top view of the 100-pc ring with the proposed location of major clouds. The thick black dashed lines represent the innermost x1 orbits. The position of SgrA* along the line of sight is the one corresponding to the distance it should have from the front portion of the 100-pc ring to justify the velocity difference between the 20 and 50 km s−1 clouds if due to the gravitational pull of the mass concentration around Sgr A (see text). Tremaine 1987), in a harmonic oscillation both in radial and GMC (r)∆x vertical directions. The vertical oscillation frequency can be r= (3) expressed as ∆v vorb Using this formulation to estimate MC (r), the measured ∂2 Φ projected distance between the nearest edges of the two νz = 2 (5) ∂z2 R,0 clouds of ∆x ∼ 7pc, and assuming an orbital speed of 80km s−1 from our toy model fit, Eq. 3 provides r ∼20 pc. The gravitational field along the z direction of the slab (ap- In other words, to explain the difference in radial velocities proximated as infinite) is between the 20 and 50 km s−1 clouds would require that Sgr A is closer than 20pc to the foregreound arm of the 100-pc ring. Fz = 2πρ0Gh (6) 3.3. The ring’s twist: constraints on the flattening of the so that the period of the vertical oscillations is Galactic potential Perhaps the most striking aspect of the 100-pc ring is its 2π Pz = (7) twist. Apparently the gas in the ring oscillates twice about ρ0G the mid-plane each time it orbits the nucleus once. Assum- ing the elliptical axes and the orbital speed derived from the As noted above, the ∞ shape that the ring displays in pro- toy model, the orbital period is Po ∼ 3 × 106 years; the pe- jection implies that riod of the vertical oscillations is therefore Pz ∼ 1.5 × 106 years. The coherence of the ring’s morphology suggests sta- Po = 2Pz (8) bility over a few revolutions. Thus, the relationship between Po and Pz can be used to infer constraints on the flattening of or, using Eqs. 4 and 7, the gravitational potential in the CMZ. Assuming as a gross approximation that the matter (gas and stars) is distributed in R a uniform-density ρ0 slab of thickness h, Po at a distance R h= (9) can then be expressed as 2 The shape of the 100-pc ring would therefore imply a flat- 4πR tened potential in the CMZ that is consistent with a x/z = 0.5 Po = (4) axial ratio bulge mass distribution, remarkably similar to the Gρ0 h value of 0.5−0.6 recently derived (Rodriguez-Fernandez & A perturbation on a particle rotating in the flattened slab Combes 2008) fitting the 2MASS data to a potential model potential will result, in a 1 st -order approximation (Binney & that includes the bulge and the nuclear bar.
  • 7. The Herschel view of the Galactic Center 7 4. CONCLUSIONS the Galactic Center gravitational potential, consistent with the The far-infrared multi-band images provided by the Hi- value derived from bulge star 2MASS number counts. GAL survey using the Herschel PACS and SPIRE cameras provide evidence for a 100x60 parsecs elliptical ring of cold Data processing has been possible thanks to ASI support and dense clouds orbiting around the Galactic Center on x2 via contract I/038/080/0. We thank the referee, M. Morris, orbits elongated along the minor axis of the Galactic cen- whose comments led to a more focused paper. We thank L. ter Bar. The ring is twisted with a vertical frequency that is Spinoglio, N. Sacchi and A. Marconi for useful discussions on twice the orbit frequency, indicating a flattening-ratio of 2 for AGNs, and M. Pohlen and the SPIRE ICC for the preliminary analysis of the SPIRE ”bright source mode” calibration. REFERENCES Bally, J., Aguirre, J., Battersby, C., Bradley, E. T., Cyganowski, C., & et al. Molinari, S., Swinyard, B., Bally, J., Barlow, M., Bernard, J., Martin, P., 2010, ApJ, 721, 137 Moore, T., Noriega-Crespo, A., Plume, R., Testi, L., Zavagno, A., & et al. Bally, J., Stark, A. A., Wilson, R. W., & Henkel, C. 1987, ApJS, 65, 13 2010b, PASP, 122, 314 —. 1988, ApJ, 324, 223 Morris, M. & Serabyn, E. 1996, ARA&A, 34, 645 Benjamin, R. A., Churchwell, E., Babler, B. L., Bania, T. M., Clemens, Oka, T., Geballe, T. R., Goto, M., Usuda, T., & McCall, B. J. 2005, ApJ, D. P., Cohen, M., Dickey, J. M., Indebetouw, R., Jackson, J. M., 632, 882 Kobulnicky, H. A., Lazarian, A., Marston, A. P., Mathis, J. S., Meade, Pierce-Price, D., Richer, J. S., Greaves, J. S., Holland, W. S., Jenness, T., & M. R., Seager, S., Stolovy, S. R., Watson, C., Whitney, B. A., Wolff, et al. 2000, ApJ, 545, L121 M. J., & Wolfire, M. G. 2003, PASP, 115, 953 Pilbratt, G., Riedinger, J. R., Passvogel, T., & et al. 2010, A&A, 518, L1 Bernard, J. P., Paradis, D., Marshall, D. J., Montier, L., Lagache, G., & et al. Poglitsch, A., Waelkens, C., Geis, N., & et al. 2010, A&A, 518, L2 2010, A&A, 518, L88 Quillen, A. C., Brookes, M. H., Keene, J., Stern, D., Lawrence, C. R., & Binney, J., Gerhard, O. E., Stark, A. A., Bally, J., & Uchida, K. I. 1991, Warner, M. W. 2006, ApJ, 645, 1092 MNRAS, 252, 210 Radomski, J. T., Packham, C., Levenson, N. A., Perlman, E., Leeuw, L. L., Binney, J. & Tremaine, S. 1987, Galactic Dynamics (Princeton Series in & et al. 2008, ApJ, 681, 141 Astrophysics) Reid, M. J., Menten, K. M., Zheng, X. W., Brunthaler, A., Moscadelli, L., & Compi` gne, M., Verstraete, L., Jones, A., Bernard, J.-P., Boulanger, F., & et e et al. 2009, ApJ, 700 al. 2011, A&A, 525, 103 Rodriguez-Fernandez, N. J. & Combes, F. 2008, A&A, 489, 115 Crocker, R. M. 2011, in Proceedings of the 25th Texas Symposium on Rodr´guez-Fern´ ndez, N. J., Mart´n-Pintado, J., Fuente, A., & Wilson, T. L. ı a ı Relativistic Astrophysics (Heidelberg, 2010) 2004, A&A, 427, 217 Dahmen, G., Huttemeister, S., Wilson, T. L., & Mauersberger, R. 1998, A& Shi, Y., Rieke, G. H., Hines, D. C., Gorjian, V., Werner, M. W., & et al. A, 331, 959 2006, ApJ, 653, 127 Goto, M., Usuda, T., Nagata, T., Geballe, T. R., McCall, B. J., & et al. 2008, Sodroski, T. J., Bennett, C., Boggess, N., Dwek, E., Franz, B. A., Hauser, ApJ, 688, 306 M. G., Kelsall, T., Moseley, S. H., Odegard, N., Silverberg, R. F., & Griffin, M. J., Abergel, A., Abreu, A., & et al. 2010, A&A, 518, L3 Weiland, J. L. 1994, ApJ, 428, 638 Herrnstein, R. M. & Ho, P. T. P. 2005, ApJ, 620, 287 Sofue, Y. 1995, PASJ, 47, 527 Jaffe, W., Meisenheimer, K., R¨ ttgering, H. J. A., Leinert, C., Richichi, A., o Su, M., Slayter, T. R., & Finkbeiner, D. P. 2010, ApJ, 724, 1044 & et al. 2004, Nature, 429, 47 Traficante, A., Calzoletti, L., Veneziani, M., & et al. 2011, MNRAS, Kenney, D. P. & Lord, S. D. 1991, ApJ, 381, 118 accepted Kormendy, J. & Cornell, M. E. 2004, Penetrating Bars Through Masks of Trippe, S., Gillessen, S., Gerhard, O., Bartko, H., Fritz, T., Maness, H., Cosmic Dust, Vol. 319, p. 261 (Kluwer Academic Publishers) Eisenhauer, F., Martins, F., Ott, T., Dodds-Eden, K., & Genzel, R. 2008, Kormendy, J. & Kennicutt, Jr., R. C. 2004, ARA&A, 42, 603 A&A, 492, 419 Krolik, J. H. 2007, ApJ, 661, 52 Tsuboi, M., Handa, T., & Ukita, N. 1999, ApJ Suppl. Ser., 120, 1 Minchev, I., Nordhaus, J., & Quillen, A. C. 2007, ApJ, 664, L31 Yusef-Zadeh, F., Braatz, J., Wardle, M., & Roberts, D. 2008, ApJ, 683, L147 Molinari, S., Faustini, F., Schisano, E., Pestalozzi, M., & Di Giorgio, A. Yusef-Zadeh, F., Hewitt, J. W., Arendt, R. G., Whitney, B. A., Rieke, G., & 2010a, A&A submitted et al. 2009, ApJ, 702, 178 Zubovas, K., King, A. R., & S., N. 2011, MNRAS accepted, arXiv:1104.5443