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A gas cloud on its way toward the super-massive black
hole in the Galactic Centre

        S.Gillessen1, R.Genzel1,2, T.Fritz1, E.Quataert3, C.Alig4, A.Burkert4,1, J.Cuadra5,

                  F.Eisenhauer1, O.Pfuhl1, K.Dodds-Eden1, C.Gammie6 & T.Ott1


1
    Max-Planck-Institut für extraterrestrische Physik (MPE), Giessenbachstr.1, D-85748 Garching,

       Germany ( ste@mpe.mpg.de, genzel@mpe.mpg.de )
2
    Department of Physics, Le Conte Hall, University of California, 94720 Berkeley, USA
3
    Department of Astronomy, University of California, 94720 Berkeley, USA
4
    Universitätssternwarte der Ludwig-Maximilians-Universität, Scheinerstr. 1, D-81679 München,

       Germany
5
    Departamento de Astronomía y Astrofísica, Pontificia Universidad Católica de Chile, Vicuña Mackenna

       4860, 7820436 Macul, Santiago, Chile
6
    Center for Theoretical Astrophysics, Astronomy and Physics Departments, University of Illinois at

       Urbana-Champaign, 1002 W. Green St., Urbana, IL 61801, USA




Measurements of stellar orbits1,2,3 provide compelling evidence that the compact

radio source SgrA*4,5 at the Galactic Centre is a 4 million solar mass black hole.

With the exception of modest X-ray and infrared flares6,7, SgrA* is surprisingly

faint, suggesting that the accretion rate and radiation efficiency near the event

horizon are currently very low3,8. Here we report the detection of a dense,

approximately 3 Earth mass gas cloud that is falling into SgrA*’s accretion zone.

Our adaptive optics infrared observations with the ESO VLT tightly constrain the

cloud’s orbit to be highly eccentric with an innermost radius of approach of only

~3100 times the event horizon in 2013. Over the past three years the cloud has

begun to disrupt, probably mainly by tidal shearing due to the black hole’s



                                                      1
2




gravitational force. The cloud’s dynamic evolution and radiation in the next years

will probe the properties of the accretion flow and the feeding processes of the

super-massive black hole. The keV X-ray emission of SgrA* may brighten

significantly when the cloud reaches pericentre. There may also be a giant

radiation flare several years from now if the cloud suffers breakup with its

fragments feeding gas into the central accretion zone.


    As part of our NACO9 and SINFONI10,11 VLT programmes studying the stellar

orbits around the Galactic Centre super-massive black hole, SgrA*, we have discovered

an object moving at ~1700km/s along a trajectory almost straight toward SgrA*

(Figure 1). The object has a remarkably low temperature (~550K, Figure S2) and

luminosity (~5L), unlike any star we have so far seen near SgrA*. It is also seen in the

spectroscopic data as a redshifted emission component in the Brγ and Brδ hydrogen,

and the 2.058μm HeI lines, with the same proper motion as the L’-band object. Its 3-

dimensional velocity increased from 1200km/s in 2004 to 2350km/s in 2011. The Brγ

emission is elongated along its direction of motion with a spatially resolved velocity

gradient (Figure 2). Together these findings show that the object is a dusty, ionized gas

cloud.


    The extinction of the ionized gas is typical for the central parsec (S1) and its

intrinsic Brγ luminosity is 1.66(±0.25)×10−3L. For case B recombination the implied

electron density is nc = 2.6 ×105 fV−1/ 2 Rc−,152 Te0.54 cm -3 , for an effective cloud radius of
                                              3/
                                                 mas ,1e 4



Rc~15mas, volume filling factor fV (≤1) and an assumed electron temperature Te in units

of 104K, a value typical for the temperatures measured in the central parsec12. The cloud

mass is M c = 1.7 ×1028 fV1/ 2 Rc3/ 2 masTe0.54 g, or about 3fV1/2 Earth masses. It is plausibly
                                  ,15      ,1e 4




                                                 2
3




photo-ionized by the ultra-violet radiation field from nearby massive hot stars, deduced

from a comparison of the recombination rate with the number of impinging Lyman

continuum photons3,13. This conclusion is supported by the HeI/Brγ line flux ratio of

~0.7, which is similar to the values found in the photo-ionized gas in the central parsec

(0.35–0.7). If so, the requirement of complete photo-ionization sets a lower limit to fV of

10−1±0.5 for the extreme case that the cloud is a thin sheet.


   The combined astrometric and radial velocity data tightly constrain the cloud’s

motion. It is on a highly eccentric (e=0.94) Keplerian orbit bound to the black hole

(Figure 1, Table 1, S2). The pericentre radius is a mere 36 light hours (3100RS), which

the cloud will reach in summer 2013. Only the two stars S2 (rperi=17lh) and S14

(rperi=11lh) have come closer to the black hole2,3 since our monitoring started in 1992.

While the cloud’s gas density may be only modestly greater than other ionized gas

clouds in the central parsec (ne~0.1−2×105cm−3)12,14, it has a ≈50 times smaller specific

angular momentum12.


   For the nominal properties of the X-ray detected accretion flow onto the black

hole15,16 the cloud should stay close to Keplerian motion all the way to pericentre

(Sections S3 & S4). Its density currently is ~300fV−1/2 times greater than that of the

surrounding hot gas in the accretion flow15; extrapolating to pericentre its density

contrast will then still be ~60fV–1/2. Similarly, the cloud's ram pressure by far exceeds

that of the hot gas throughout the orbit. In contrast, the thermal pressure ratio will

quickly decrease from unity at apocentre and the hot gas is expected to drive a shock

slowly compressing the cloud. While the external pressure compresses the cloud from

all directions, the black hole’s tidal forces shear the cloud along the direction of its




                                              3
4




motion, since the Roche density for self-gravitational stabilization exceeds the cloud

density by nine orders of magnitude3. In addition, the ram pressure compresses the

cloud parallel to its motion. The interaction between the fast moving cloud and the

surrounding hot gas should also lead to shredding and disruption, due to the Kelvin-

Helmholtz and Rayleigh-Taylor instabilities17-20. Rayleigh-Taylor instabilities at the

leading edge should in fact break up the cloud within the next few years if it started as a

spheroidal, thick blob (S3). A thin, dense sheet would by now already have fragmented

and disintegrated, suggesting that fV is of order unity.


   We are witnessing the cloud’s disruption happening in our spectroscopic data

(Figure 2). The intrinsic velocity width more than tripled over the last eight years, and

we see between 2008 and 2011 a growing velocity gradient along the orbital direction.

Test particle calculations implementing only the black hole's force show that an initially

spherical gas cloud put on the orbit (Table 1) is stretched along the orbit and

compressed perpendicular to it, with increasing velocity widths and velocity gradients

reasonably matching our observations (Figure 3, S4). There is also a tail of lower

surface brightness gas approximately on the same orbit as the cloud, which cannot be

due to tidal disruption alone. It may be stripped gas, or lower density, lower filling

factor gas on the same orbit. The latter explanation is more plausible since the

integrated Brγ and L’-band luminosities did not drop by more than 30% between 2004

and 2011, and the integrated Brγ flux of the tail is comparable to that of the cloud.


   The disruption and energy deposition processes in the next years until and after

pericentre are powerful probes of the physical conditions in the accretion zone (section

S3). We expect that the interaction between hot gas and cloud drives a strong shock into




                                              4
5




the cloud. Given the densities of cloud and hot gas, the cloud as a whole should remain

at low temperature until just before pericentre. Near pericentre the post-shock

temperature may increase rapidly to Tpc~6−10×106K resulting in X-ray emission. We

estimate the observable 2−8keV luminosity to be ≤1034erg/s there, somewhat larger than

the current ‘quiescent’ X-ray luminosity of SgrA* (1033erg/s)6,15,21. Rayleigh-Taylor

instabilities may by then have broken up the cloud into several sub-fragments, in which

case the emission may be variable throughout this period. Our predictions depend

sensitively on the density and disruption state of the cloud, as well as on the radial

dependencies of the hot gas properties, none of which we can fully quantify. The steeper

the radial profiles are and the higher the value of fV, the more X-ray emission will occur.

Shallower profiles and a low value of fV could shift the emission into the un-observable

soft X-ray and ultraviolet bands. Together the evolution of the 2-8keV and Brγ

luminosities, as well as the Brγ velocity distribution will strongly constrain the thermal

states and interaction of the cloud and the ambient hot gas in the presently un-probed

regime of 103−104RS, when compared with test particle calculations and more detailed

numerical simulations (Figures 3 and S4).


   The radiated energy estimated above is <1% of the total kinetic energy of the cloud,

~1045.4erg. As the tidally disrupted filamentary cloud passes near pericentre some

fraction of the gas may well collide with itself, dissipate and circularize22. This is likely

because of the large velocity dispersion of the cloud, its size comparable to the impact

parameter and because the Rayleigh-Taylor and Kelvin-Helmholtz time scales are

similar to the orbital time scale. Since the mass of the cloud is larger than the mass of

hot gas within the central ~3100RS (~1027.3g)15, it is plausible that then the accretion

near the event horizon will be temporarily dominated by accretion of the cloud. This


                                              5
6




could in principle release up to ~1048erg over the next decade, although the radiative

efficiency of the inflow at these accretion rates is of order 1-10%23,24. Observations of

the emission across the electromagnetic spectrum during this post-circularization phase

will provide stringent constraints on the physics of black hole accretion with unusually

good knowledge of the mass available.


    What was the origin of the low angular momentum cloud? Its orbital angular

momentum vector is within 15° of the so-called ‘clock-wise’ disk of young, massive O

and Wolf-Rayet stars at r~1−10” from SgrA* 3,25. Several of these stars have powerful

winds. One star, IRS16SW, ~1.4” south-east of SgrA* is a massive, Wolf-Rayet contact

binary26. Colliding winds in the stellar disk, and especially in binaries, may create low

angular momentum gas that then falls deep into the potential of the supermassive black

hole27,28.



    1. Ghez, A. M. et al., Measuring Distance and Properties of the Milky Way's

        Central Supermassive Black Hole with Stellar Orbits. Astrophys. J., 689, 1044-

        1062, (2008)

    2. Gillessen, S. et al., Monitoring Stellar Orbits Around the Massive Black Hole in

        the Galactic Center. Astrophys. J., 692, 1075-1109 (2009)

    3. Genzel, R., Eisenhauer, F., & Gillessen, S., The Galactic Center massive black

        hole and nuclear star cluster. Reviews of Modern Physics, 82, 3121-3195.(2010)

    4. Reid, M. J., Menten, K. M., Trippe, S., Ott, T., Genzel, R., The Position of

        Sagittarius A*. III. Motion of the Stellar Cusp. Astrophys. J., 659, 378-388

        (2007)




                                             6
7




5. Doeleman, S. S. et al., Event-horizon-scale structure in the supermassive black

   hole candidate at the Galactic Centre. Nature, 455, 78-80 (2008)

6. Baganoff, F. K. et al., Rapid X-ray flaring from the direction of the

   supermassive black hole at the Galactic Centre. Nature, 413, 45-48 (2001)

7. Genzel, R., Schödel, R., Ott, T., Eckart, A. et al., Near-infrared flares from

   accreting gas around the supermassive black hole at the Galactic Centre. Nature,

   425, 934-937 (2003)

8. Marrone, D. P., Moran, J. M., Zhao, J.-H., & Rao, R., An Unambiguous

   Detection of Faraday Rotation in Sagittarius A*. Astrophys. J., 654, L57-L60

   (2007)

9. Lenzen, R., Hofmann, R., Bizenberger, P. & Tusche, A., CONICA: the high-

   resolution near-infrared camera for the ESO VLT. Proc. SPIE, IR Astronomical

   Instrum. (A.M.Fowler ed), 3354, 606-614 (1998)

10. Eisenhauer, F. et al., SINFONI - Integral field spectroscopy at 50 milli-

   arcsecond resolution with the ESO VLT. Proc. SPIE, Instr. Design & Perform.

   (M. Iye, &A. F. M. Moorwood eds), 4841, 1548-1561 (2003)

11. Bonnet, H. et al., Implementation of MACAO for SINFONI at the Cassegrain

   focus of VLT, in NGS and LGS modes. Proc. SPIE, Adaptive Optics (P.

   Wizinowich ed), 4839, 329-343 (2003)

12. Zhao, J.H., Morris, M. M., Goss, W. M., An, T., Dynamics of Ionized Gas at the

   Galactic Center: Very Large Array Observations of the Three-dimensional

   Velocity Field and Location of the Ionized Streams in Sagittarius A West.

   Astrophys. J., 699, 186-214 (2009)




                                         7
8




13. Martins, F. et al., Stellar and wind properties of massive stars in the central

   parsec of the Galaxy. Astron. Astrophys., 468, 233-254 (2007)

14. Scoville, N. Z., Stolovy, S. R., Rieke, M., Christopher, M., & Yusef-Zadeh, F.,

   Hubble Space Telescope Paα and 1.9 Micron Imaging of Sagittarius A West,

   Astrophys. J., 594, 294-311 (2003)

15. Xu, Y.-D., Narayan, R., Quataert, E., Yuan, F. & Baganoff, F. K., Thermal X-

   Ray Iron Line Emission from the Galactic Center Black Hole Sagittarius A*.

   Astrophys. J., 640, 319-326 (2006)

16. Yuan, F., Quataert, E., & Narajan, R., Nonthermal Electrons in Radiatively

   Inefficient Accretion Flow Models of Sagittarius A*, Astrophys. J., 598, 301-

   312 (2003)

17. Klein, R. I., McKee, C. F., & Colella, P., On the hydrodynamic interaction of

   shock waves with interstellar clouds. 1: Nonradiative shocks in small clouds.

   Astrophys. J., 420, 213-236 (1994)

18. Chandrasekhar, S. Hydrodynamic and Hydromagnetic Stability (New York:

   Dover), p.428-514 (1961)

19. Murray, S.D & Lin, D.N.C. Energy Dissipation in Multiphase Infalling Clouds

   in Galaxy Halos, Astrophys. J., 615, 586-594 (2004)

20. Cooper, J. L., Bicknell, G. V., Sutherland, R. S., Bland-Hawthorn, J., Starburst-

   Driven Galactic Winds: Filament Formation and Emission Processes.

   Astrophys. J., 703, 330-347 (2009)

21. Baganoff, F.K., Maeda, Y., Morris, M. et al., Chandra X-ray spectroscopic

   imaging of Sgr A* and the central parsec of the Galaxy. Astrophys. J., 591, 891-

   915 (2003)




                                          8
9




   22. Sanders, R. H., The circumnuclear material in the Galactic Centre - A clue to the

       accretion process. Mon. Not. R. Astron. Soc., 294, 35-46 (1998)

   23. Sharma, P. Quataert, E., Hammett, G. W. & Stone, J. M., Electron Heating in

       Hot Accretion Flows. Astrophys. J., 667, 714-723 (2007)

   24. Blandford, R. D.& Begelman, M. C., On the fate of gas accreting at a low rate

       on to a black hole. Mon. Not. R. Astron. Soc., 303, L1-5 (1999)

   25. Bartko, H. et al., Evidence for Warped Disks of Young Stars in the Galactic

       Center. Astrophys. J., 697, 1741-1763 (2009)

   26. Martins, F. et al., GCIRS 16SW: A Massive Eclipsing Binary in the Galactic

       Center. Astrophys. J., 649, L103-L106 (2006)

   27. Ozernoy, L. M., Genzel, R., & Usov, V. V., Colliding winds in the stellar core at

       the Galactic Centre: some implications. Mon. Not. R. Astron. Soc., 288, 237-244

       (1997)

   28. Cuadra, J., Nayakshin, S., Springel, V., & Di Matteo, T., Accretion of cool

       stellar winds on to Sgr A*: another puzzle of the Galactic Centre? Mon. Not. R.

       Astron. Soc., 260, L55-L59 (2005)




Supplementary Information is linked to the online version of the paper at

www.nature.com/nature.



Acknowledgments: This paper is based on observations at the Very Large Telescope

(VLT) of the European Observatory (ESO) in Chile. We thank Chris McKee and




                                           9
10




Richard Klein for helpful discussions on the cloud destruction process. J.C.

acknowledges support from FONDAP, FONDECYT, Basal and VRI-PUC.




Author contributions: S.G. collected and analyzed the data and discovered the orbit of

the gas cloud. R.G. and S.G. wrote the paper. R.G., A.B. and E.Q. derived the cloud's

properties, its evolution and the estimate of the X-ray luminosity. T.F. detected the high

proper motion and extracted the astrometric positions and the photometry. R.G., E.Q.,

A.B. and C.G. contributed to the analytical estimates. C.A. and J.C. set up numerical

simulations to check the analysis. F.E., O.P. and K.D.-E. helped in the data analysis and

interpretation. T.O. provided valuable software tools.



Author information: The authors have no competing financial interests.

Reprints and permissions information is available at www.nature.com/reprints.

Correspondence and requests for materials should be addressed to S.G.

(ste@mpe.mpg.de) or R.G. (genzel@mpe.mpg.de).




                                            10
11




Table 1. Orbit Parameters of the Infalling Cloud

parameters of Keplerian orbit               best fitting value

around 4.31 × 106 M black hole
at R0 = 8.33 kpc
semi-major axis a                           521 ± 28 milli-arcsec

eccentricity e                              0.9384 ± 0.0066

inclination of ascending node i             106.55 ± 0.88 degrees

position angle of ascending node Ω          101.5 ± 1.1 degrees

longitude of pericentre ω                   109.59 ± 0.78 degrees

time of pericentre tperi                    2013.51 ± 0.035

pericentre distance from black hole rperi   4.0 ± 0.3 × 1015cm = 3140 RS

orbital period to                           137 ± 11 years




                                            11
12




Figure 1: Infalling dust/gas cloud in the Galactic Centre. Panels a and b give

NACO9 adaptive optics VLT images showing that the cloud is detected in L’-

band (3.76 μm) but not in Ks-band (2.16 μm), indicating that it is not a star but a

dusty cloud with a temperature of ~550 K (Figure S2). The cloud is also

detected in M-band (4.7μm) but not seen in H-band (1.65μm). North is up, East

is left. The proper motion derived from the L-band data is ~42 milli-arcseconds

(mas)/yr, or 1670 km/s (in 2011), from the south-east towards the position of

SgrA* (panel c, red for epoch 2004.5, green for 2008.3 and blue for 2011.3,

overlayed on a 2011 Ks-band image). It is also detected in deep spectroscopy

with the adaptive optics assisted integral field unit SINFONI10,11 in the HI n=7-4

Brγ recombination line at 2.1661 μm and in HeI 2.058 μm, with a radial velocity

of 1250 km/s (in 2008) and 1650 km/s (in 2011). From the combination of the

astrometric data in L’ and Brγ and the radial velocity data in Brγ the orbit of the

cloud is tightly constrained (panels d & e, error bars are 1σ measurement

errors). The cloud is on a highly eccentric, bound orbit (e = 0.94), with a

pericentre radius and time of 36 light hours (3100 RS) and 2013.5 (Table 1). For

further details see Supplementary Information.




                                         12
13




Figure 2: The velocity shear in the gas cloud. The left column shows data from

2008.3, the right from 2011.3. Panels a and b show integrated Brγ maps of the

cloud, in comparison to the point spread function from stellar images shown

above. The inferred intrinsic East-West HWHM source radii are Rc = 21 ± 5 mas

in 2008 and 19 ± 8 mas in 2011 (approximately along the direction of orbital

motion), after removal of the instrumental broadening estimated from the stellar

images above. A similar spatial extent is found from the spatial separation

between the red- und blue-shifted emission of the cloud (Rc = 23 ± 5 mas). The

minor axis radius of the cloud is only marginally resolved or unresolved (radius

≤ 12 mas). We adopt Rc=15 mas as the ‘effective’ circular radius, from

combining the results in the two directions. Panels c and d are position-velocity

maps obtained with SINFONI on the VLT of the cloud's Brγ emission. The slit is

oriented approximately along the long axis of the cloud and the projected orbital

direction and has a width of 62 mas for the bright ‘head’ of the emission. For the

lower surface brightness ‘tail’ of emission (in the enclosed white dotted regions)

we smoothed the data with 50 mas and 138 km/s and used a slit width of 0.11”.

The gas in the tail is spread over ~200mas downstream of the cloud. The

trailing emission appears to be connected by a smooth velocity gradient (of

~2km/s/mas), and the velocity field in the tail approximately follows the best-fit

orbit of the head (cyan curves, Table 1). An increasing velocity gradient has

formed in the head between 2008 (2.1 km/s/mas) and 2011 (4.6 km/s/mas). As

a result of this velocity gradient, the intrinsic integrated FWHM velocity width of

the cloud increased from 89 (± 30) km/s in 2003 and 117 (± 25) km/s in 2004, to

210 (± 24) km/s in 2008, and 350 (± 40) km/s in 2011.



                                         13
14




Figure 3. Test particle simulation of the orbital tidal disruption. An initially

Gaussian cloud of initial FWHM diameter 25 mas and FWHM velocity width

120 km/s is placed on the orbit in Table 1. As described in section 4 of the

Supplementary Information (see also Figure S4) panels a through h show the

evolution of the cloud integrated velocity width (vertical axis shows the number

of entries), and panels i through q show the evolution of the velocity change as

a function of position (measured in milli-arcseconds) along the orbital direction,

purely on the basis of the tidal disruption of the cloud by the gravitational force

of the super-massive black hole. This toy model is a good description of the

velocity (and spatial) data between 2004 and 2011, thus allowing plausible

forward projections until pericenter passage. Beyond that, the test particle

approach probably will fail due to the hydrodynamic effects, which then most

likely will dominate the further evolution.




                                           14
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Eso1151

  • 1. 1 A gas cloud on its way toward the super-massive black hole in the Galactic Centre S.Gillessen1, R.Genzel1,2, T.Fritz1, E.Quataert3, C.Alig4, A.Burkert4,1, J.Cuadra5, F.Eisenhauer1, O.Pfuhl1, K.Dodds-Eden1, C.Gammie6 & T.Ott1 1 Max-Planck-Institut für extraterrestrische Physik (MPE), Giessenbachstr.1, D-85748 Garching, Germany ( ste@mpe.mpg.de, genzel@mpe.mpg.de ) 2 Department of Physics, Le Conte Hall, University of California, 94720 Berkeley, USA 3 Department of Astronomy, University of California, 94720 Berkeley, USA 4 Universitätssternwarte der Ludwig-Maximilians-Universität, Scheinerstr. 1, D-81679 München, Germany 5 Departamento de Astronomía y Astrofísica, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, 7820436 Macul, Santiago, Chile 6 Center for Theoretical Astrophysics, Astronomy and Physics Departments, University of Illinois at Urbana-Champaign, 1002 W. Green St., Urbana, IL 61801, USA Measurements of stellar orbits1,2,3 provide compelling evidence that the compact radio source SgrA*4,5 at the Galactic Centre is a 4 million solar mass black hole. With the exception of modest X-ray and infrared flares6,7, SgrA* is surprisingly faint, suggesting that the accretion rate and radiation efficiency near the event horizon are currently very low3,8. Here we report the detection of a dense, approximately 3 Earth mass gas cloud that is falling into SgrA*’s accretion zone. Our adaptive optics infrared observations with the ESO VLT tightly constrain the cloud’s orbit to be highly eccentric with an innermost radius of approach of only ~3100 times the event horizon in 2013. Over the past three years the cloud has begun to disrupt, probably mainly by tidal shearing due to the black hole’s 1
  • 2. 2 gravitational force. The cloud’s dynamic evolution and radiation in the next years will probe the properties of the accretion flow and the feeding processes of the super-massive black hole. The keV X-ray emission of SgrA* may brighten significantly when the cloud reaches pericentre. There may also be a giant radiation flare several years from now if the cloud suffers breakup with its fragments feeding gas into the central accretion zone. As part of our NACO9 and SINFONI10,11 VLT programmes studying the stellar orbits around the Galactic Centre super-massive black hole, SgrA*, we have discovered an object moving at ~1700km/s along a trajectory almost straight toward SgrA* (Figure 1). The object has a remarkably low temperature (~550K, Figure S2) and luminosity (~5L), unlike any star we have so far seen near SgrA*. It is also seen in the spectroscopic data as a redshifted emission component in the Brγ and Brδ hydrogen, and the 2.058μm HeI lines, with the same proper motion as the L’-band object. Its 3- dimensional velocity increased from 1200km/s in 2004 to 2350km/s in 2011. The Brγ emission is elongated along its direction of motion with a spatially resolved velocity gradient (Figure 2). Together these findings show that the object is a dusty, ionized gas cloud. The extinction of the ionized gas is typical for the central parsec (S1) and its intrinsic Brγ luminosity is 1.66(±0.25)×10−3L. For case B recombination the implied electron density is nc = 2.6 ×105 fV−1/ 2 Rc−,152 Te0.54 cm -3 , for an effective cloud radius of 3/ mas ,1e 4 Rc~15mas, volume filling factor fV (≤1) and an assumed electron temperature Te in units of 104K, a value typical for the temperatures measured in the central parsec12. The cloud mass is M c = 1.7 ×1028 fV1/ 2 Rc3/ 2 masTe0.54 g, or about 3fV1/2 Earth masses. It is plausibly ,15 ,1e 4 2
  • 3. 3 photo-ionized by the ultra-violet radiation field from nearby massive hot stars, deduced from a comparison of the recombination rate with the number of impinging Lyman continuum photons3,13. This conclusion is supported by the HeI/Brγ line flux ratio of ~0.7, which is similar to the values found in the photo-ionized gas in the central parsec (0.35–0.7). If so, the requirement of complete photo-ionization sets a lower limit to fV of 10−1±0.5 for the extreme case that the cloud is a thin sheet. The combined astrometric and radial velocity data tightly constrain the cloud’s motion. It is on a highly eccentric (e=0.94) Keplerian orbit bound to the black hole (Figure 1, Table 1, S2). The pericentre radius is a mere 36 light hours (3100RS), which the cloud will reach in summer 2013. Only the two stars S2 (rperi=17lh) and S14 (rperi=11lh) have come closer to the black hole2,3 since our monitoring started in 1992. While the cloud’s gas density may be only modestly greater than other ionized gas clouds in the central parsec (ne~0.1−2×105cm−3)12,14, it has a ≈50 times smaller specific angular momentum12. For the nominal properties of the X-ray detected accretion flow onto the black hole15,16 the cloud should stay close to Keplerian motion all the way to pericentre (Sections S3 & S4). Its density currently is ~300fV−1/2 times greater than that of the surrounding hot gas in the accretion flow15; extrapolating to pericentre its density contrast will then still be ~60fV–1/2. Similarly, the cloud's ram pressure by far exceeds that of the hot gas throughout the orbit. In contrast, the thermal pressure ratio will quickly decrease from unity at apocentre and the hot gas is expected to drive a shock slowly compressing the cloud. While the external pressure compresses the cloud from all directions, the black hole’s tidal forces shear the cloud along the direction of its 3
  • 4. 4 motion, since the Roche density for self-gravitational stabilization exceeds the cloud density by nine orders of magnitude3. In addition, the ram pressure compresses the cloud parallel to its motion. The interaction between the fast moving cloud and the surrounding hot gas should also lead to shredding and disruption, due to the Kelvin- Helmholtz and Rayleigh-Taylor instabilities17-20. Rayleigh-Taylor instabilities at the leading edge should in fact break up the cloud within the next few years if it started as a spheroidal, thick blob (S3). A thin, dense sheet would by now already have fragmented and disintegrated, suggesting that fV is of order unity. We are witnessing the cloud’s disruption happening in our spectroscopic data (Figure 2). The intrinsic velocity width more than tripled over the last eight years, and we see between 2008 and 2011 a growing velocity gradient along the orbital direction. Test particle calculations implementing only the black hole's force show that an initially spherical gas cloud put on the orbit (Table 1) is stretched along the orbit and compressed perpendicular to it, with increasing velocity widths and velocity gradients reasonably matching our observations (Figure 3, S4). There is also a tail of lower surface brightness gas approximately on the same orbit as the cloud, which cannot be due to tidal disruption alone. It may be stripped gas, or lower density, lower filling factor gas on the same orbit. The latter explanation is more plausible since the integrated Brγ and L’-band luminosities did not drop by more than 30% between 2004 and 2011, and the integrated Brγ flux of the tail is comparable to that of the cloud. The disruption and energy deposition processes in the next years until and after pericentre are powerful probes of the physical conditions in the accretion zone (section S3). We expect that the interaction between hot gas and cloud drives a strong shock into 4
  • 5. 5 the cloud. Given the densities of cloud and hot gas, the cloud as a whole should remain at low temperature until just before pericentre. Near pericentre the post-shock temperature may increase rapidly to Tpc~6−10×106K resulting in X-ray emission. We estimate the observable 2−8keV luminosity to be ≤1034erg/s there, somewhat larger than the current ‘quiescent’ X-ray luminosity of SgrA* (1033erg/s)6,15,21. Rayleigh-Taylor instabilities may by then have broken up the cloud into several sub-fragments, in which case the emission may be variable throughout this period. Our predictions depend sensitively on the density and disruption state of the cloud, as well as on the radial dependencies of the hot gas properties, none of which we can fully quantify. The steeper the radial profiles are and the higher the value of fV, the more X-ray emission will occur. Shallower profiles and a low value of fV could shift the emission into the un-observable soft X-ray and ultraviolet bands. Together the evolution of the 2-8keV and Brγ luminosities, as well as the Brγ velocity distribution will strongly constrain the thermal states and interaction of the cloud and the ambient hot gas in the presently un-probed regime of 103−104RS, when compared with test particle calculations and more detailed numerical simulations (Figures 3 and S4). The radiated energy estimated above is <1% of the total kinetic energy of the cloud, ~1045.4erg. As the tidally disrupted filamentary cloud passes near pericentre some fraction of the gas may well collide with itself, dissipate and circularize22. This is likely because of the large velocity dispersion of the cloud, its size comparable to the impact parameter and because the Rayleigh-Taylor and Kelvin-Helmholtz time scales are similar to the orbital time scale. Since the mass of the cloud is larger than the mass of hot gas within the central ~3100RS (~1027.3g)15, it is plausible that then the accretion near the event horizon will be temporarily dominated by accretion of the cloud. This 5
  • 6. 6 could in principle release up to ~1048erg over the next decade, although the radiative efficiency of the inflow at these accretion rates is of order 1-10%23,24. Observations of the emission across the electromagnetic spectrum during this post-circularization phase will provide stringent constraints on the physics of black hole accretion with unusually good knowledge of the mass available. What was the origin of the low angular momentum cloud? Its orbital angular momentum vector is within 15° of the so-called ‘clock-wise’ disk of young, massive O and Wolf-Rayet stars at r~1−10” from SgrA* 3,25. Several of these stars have powerful winds. One star, IRS16SW, ~1.4” south-east of SgrA* is a massive, Wolf-Rayet contact binary26. Colliding winds in the stellar disk, and especially in binaries, may create low angular momentum gas that then falls deep into the potential of the supermassive black hole27,28. 1. Ghez, A. M. et al., Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits. Astrophys. J., 689, 1044- 1062, (2008) 2. Gillessen, S. et al., Monitoring Stellar Orbits Around the Massive Black Hole in the Galactic Center. Astrophys. J., 692, 1075-1109 (2009) 3. Genzel, R., Eisenhauer, F., & Gillessen, S., The Galactic Center massive black hole and nuclear star cluster. Reviews of Modern Physics, 82, 3121-3195.(2010) 4. Reid, M. J., Menten, K. M., Trippe, S., Ott, T., Genzel, R., The Position of Sagittarius A*. III. Motion of the Stellar Cusp. Astrophys. J., 659, 378-388 (2007) 6
  • 7. 7 5. Doeleman, S. S. et al., Event-horizon-scale structure in the supermassive black hole candidate at the Galactic Centre. Nature, 455, 78-80 (2008) 6. Baganoff, F. K. et al., Rapid X-ray flaring from the direction of the supermassive black hole at the Galactic Centre. Nature, 413, 45-48 (2001) 7. Genzel, R., Schödel, R., Ott, T., Eckart, A. et al., Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre. Nature, 425, 934-937 (2003) 8. Marrone, D. P., Moran, J. M., Zhao, J.-H., & Rao, R., An Unambiguous Detection of Faraday Rotation in Sagittarius A*. Astrophys. J., 654, L57-L60 (2007) 9. Lenzen, R., Hofmann, R., Bizenberger, P. & Tusche, A., CONICA: the high- resolution near-infrared camera for the ESO VLT. Proc. SPIE, IR Astronomical Instrum. (A.M.Fowler ed), 3354, 606-614 (1998) 10. Eisenhauer, F. et al., SINFONI - Integral field spectroscopy at 50 milli- arcsecond resolution with the ESO VLT. Proc. SPIE, Instr. Design & Perform. (M. Iye, &A. F. M. Moorwood eds), 4841, 1548-1561 (2003) 11. Bonnet, H. et al., Implementation of MACAO for SINFONI at the Cassegrain focus of VLT, in NGS and LGS modes. Proc. SPIE, Adaptive Optics (P. Wizinowich ed), 4839, 329-343 (2003) 12. Zhao, J.H., Morris, M. M., Goss, W. M., An, T., Dynamics of Ionized Gas at the Galactic Center: Very Large Array Observations of the Three-dimensional Velocity Field and Location of the Ionized Streams in Sagittarius A West. Astrophys. J., 699, 186-214 (2009) 7
  • 8. 8 13. Martins, F. et al., Stellar and wind properties of massive stars in the central parsec of the Galaxy. Astron. Astrophys., 468, 233-254 (2007) 14. Scoville, N. Z., Stolovy, S. R., Rieke, M., Christopher, M., & Yusef-Zadeh, F., Hubble Space Telescope Paα and 1.9 Micron Imaging of Sagittarius A West, Astrophys. J., 594, 294-311 (2003) 15. Xu, Y.-D., Narayan, R., Quataert, E., Yuan, F. & Baganoff, F. K., Thermal X- Ray Iron Line Emission from the Galactic Center Black Hole Sagittarius A*. Astrophys. J., 640, 319-326 (2006) 16. Yuan, F., Quataert, E., & Narajan, R., Nonthermal Electrons in Radiatively Inefficient Accretion Flow Models of Sagittarius A*, Astrophys. J., 598, 301- 312 (2003) 17. Klein, R. I., McKee, C. F., & Colella, P., On the hydrodynamic interaction of shock waves with interstellar clouds. 1: Nonradiative shocks in small clouds. Astrophys. J., 420, 213-236 (1994) 18. Chandrasekhar, S. Hydrodynamic and Hydromagnetic Stability (New York: Dover), p.428-514 (1961) 19. Murray, S.D & Lin, D.N.C. Energy Dissipation in Multiphase Infalling Clouds in Galaxy Halos, Astrophys. J., 615, 586-594 (2004) 20. Cooper, J. L., Bicknell, G. V., Sutherland, R. S., Bland-Hawthorn, J., Starburst- Driven Galactic Winds: Filament Formation and Emission Processes. Astrophys. J., 703, 330-347 (2009) 21. Baganoff, F.K., Maeda, Y., Morris, M. et al., Chandra X-ray spectroscopic imaging of Sgr A* and the central parsec of the Galaxy. Astrophys. J., 591, 891- 915 (2003) 8
  • 9. 9 22. Sanders, R. H., The circumnuclear material in the Galactic Centre - A clue to the accretion process. Mon. Not. R. Astron. Soc., 294, 35-46 (1998) 23. Sharma, P. Quataert, E., Hammett, G. W. & Stone, J. M., Electron Heating in Hot Accretion Flows. Astrophys. J., 667, 714-723 (2007) 24. Blandford, R. D.& Begelman, M. C., On the fate of gas accreting at a low rate on to a black hole. Mon. Not. R. Astron. Soc., 303, L1-5 (1999) 25. Bartko, H. et al., Evidence for Warped Disks of Young Stars in the Galactic Center. Astrophys. J., 697, 1741-1763 (2009) 26. Martins, F. et al., GCIRS 16SW: A Massive Eclipsing Binary in the Galactic Center. Astrophys. J., 649, L103-L106 (2006) 27. Ozernoy, L. M., Genzel, R., & Usov, V. V., Colliding winds in the stellar core at the Galactic Centre: some implications. Mon. Not. R. Astron. Soc., 288, 237-244 (1997) 28. Cuadra, J., Nayakshin, S., Springel, V., & Di Matteo, T., Accretion of cool stellar winds on to Sgr A*: another puzzle of the Galactic Centre? Mon. Not. R. Astron. Soc., 260, L55-L59 (2005) Supplementary Information is linked to the online version of the paper at www.nature.com/nature. Acknowledgments: This paper is based on observations at the Very Large Telescope (VLT) of the European Observatory (ESO) in Chile. We thank Chris McKee and 9
  • 10. 10 Richard Klein for helpful discussions on the cloud destruction process. J.C. acknowledges support from FONDAP, FONDECYT, Basal and VRI-PUC. Author contributions: S.G. collected and analyzed the data and discovered the orbit of the gas cloud. R.G. and S.G. wrote the paper. R.G., A.B. and E.Q. derived the cloud's properties, its evolution and the estimate of the X-ray luminosity. T.F. detected the high proper motion and extracted the astrometric positions and the photometry. R.G., E.Q., A.B. and C.G. contributed to the analytical estimates. C.A. and J.C. set up numerical simulations to check the analysis. F.E., O.P. and K.D.-E. helped in the data analysis and interpretation. T.O. provided valuable software tools. Author information: The authors have no competing financial interests. Reprints and permissions information is available at www.nature.com/reprints. Correspondence and requests for materials should be addressed to S.G. (ste@mpe.mpg.de) or R.G. (genzel@mpe.mpg.de). 10
  • 11. 11 Table 1. Orbit Parameters of the Infalling Cloud parameters of Keplerian orbit best fitting value around 4.31 × 106 M black hole at R0 = 8.33 kpc semi-major axis a 521 ± 28 milli-arcsec eccentricity e 0.9384 ± 0.0066 inclination of ascending node i 106.55 ± 0.88 degrees position angle of ascending node Ω 101.5 ± 1.1 degrees longitude of pericentre ω 109.59 ± 0.78 degrees time of pericentre tperi 2013.51 ± 0.035 pericentre distance from black hole rperi 4.0 ± 0.3 × 1015cm = 3140 RS orbital period to 137 ± 11 years 11
  • 12. 12 Figure 1: Infalling dust/gas cloud in the Galactic Centre. Panels a and b give NACO9 adaptive optics VLT images showing that the cloud is detected in L’- band (3.76 μm) but not in Ks-band (2.16 μm), indicating that it is not a star but a dusty cloud with a temperature of ~550 K (Figure S2). The cloud is also detected in M-band (4.7μm) but not seen in H-band (1.65μm). North is up, East is left. The proper motion derived from the L-band data is ~42 milli-arcseconds (mas)/yr, or 1670 km/s (in 2011), from the south-east towards the position of SgrA* (panel c, red for epoch 2004.5, green for 2008.3 and blue for 2011.3, overlayed on a 2011 Ks-band image). It is also detected in deep spectroscopy with the adaptive optics assisted integral field unit SINFONI10,11 in the HI n=7-4 Brγ recombination line at 2.1661 μm and in HeI 2.058 μm, with a radial velocity of 1250 km/s (in 2008) and 1650 km/s (in 2011). From the combination of the astrometric data in L’ and Brγ and the radial velocity data in Brγ the orbit of the cloud is tightly constrained (panels d & e, error bars are 1σ measurement errors). The cloud is on a highly eccentric, bound orbit (e = 0.94), with a pericentre radius and time of 36 light hours (3100 RS) and 2013.5 (Table 1). For further details see Supplementary Information. 12
  • 13. 13 Figure 2: The velocity shear in the gas cloud. The left column shows data from 2008.3, the right from 2011.3. Panels a and b show integrated Brγ maps of the cloud, in comparison to the point spread function from stellar images shown above. The inferred intrinsic East-West HWHM source radii are Rc = 21 ± 5 mas in 2008 and 19 ± 8 mas in 2011 (approximately along the direction of orbital motion), after removal of the instrumental broadening estimated from the stellar images above. A similar spatial extent is found from the spatial separation between the red- und blue-shifted emission of the cloud (Rc = 23 ± 5 mas). The minor axis radius of the cloud is only marginally resolved or unresolved (radius ≤ 12 mas). We adopt Rc=15 mas as the ‘effective’ circular radius, from combining the results in the two directions. Panels c and d are position-velocity maps obtained with SINFONI on the VLT of the cloud's Brγ emission. The slit is oriented approximately along the long axis of the cloud and the projected orbital direction and has a width of 62 mas for the bright ‘head’ of the emission. For the lower surface brightness ‘tail’ of emission (in the enclosed white dotted regions) we smoothed the data with 50 mas and 138 km/s and used a slit width of 0.11”. The gas in the tail is spread over ~200mas downstream of the cloud. The trailing emission appears to be connected by a smooth velocity gradient (of ~2km/s/mas), and the velocity field in the tail approximately follows the best-fit orbit of the head (cyan curves, Table 1). An increasing velocity gradient has formed in the head between 2008 (2.1 km/s/mas) and 2011 (4.6 km/s/mas). As a result of this velocity gradient, the intrinsic integrated FWHM velocity width of the cloud increased from 89 (± 30) km/s in 2003 and 117 (± 25) km/s in 2004, to 210 (± 24) km/s in 2008, and 350 (± 40) km/s in 2011. 13
  • 14. 14 Figure 3. Test particle simulation of the orbital tidal disruption. An initially Gaussian cloud of initial FWHM diameter 25 mas and FWHM velocity width 120 km/s is placed on the orbit in Table 1. As described in section 4 of the Supplementary Information (see also Figure S4) panels a through h show the evolution of the cloud integrated velocity width (vertical axis shows the number of entries), and panels i through q show the evolution of the velocity change as a function of position (measured in milli-arcseconds) along the orbital direction, purely on the basis of the tidal disruption of the cloud by the gravitational force of the super-massive black hole. This toy model is a good description of the velocity (and spatial) data between 2004 and 2011, thus allowing plausible forward projections until pericenter passage. Beyond that, the test particle approach probably will fail due to the hydrodynamic effects, which then most likely will dominate the further evolution. 14