DOVE TROVARE GLI ARTICOLI d Preprint service per

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DOVE TROVARE GLI ARTICOLI: d Preprint service (per articoli non ancora pubblicati, o conference

DOVE TROVARE GLI ARTICOLI: d Preprint service (per articoli non ancora pubblicati, o conference proceedings): http: //xxx. lanl. gov/archive/astro-ph (o fate una ricerca su Google su “Astrophysics preprints” per trovare un mirror site) d Articoli pubblicati: ADS astronomy and Astrophysics Abstract Service http: //adsabs. harvard. edu/abstract_service. html

Laura Ferrarese Rutgers University Lecture 3: Gas Dynamics SIGRAV Graduate School in Contemporary Relativity

Laura Ferrarese Rutgers University Lecture 3: Gas Dynamics SIGRAV Graduate School in Contemporary Relativity and Gravitational Physics

Lecture Outline d Historical Perspective: The Milky Way (again!) d Water Maser Disks: h

Lecture Outline d Historical Perspective: The Milky Way (again!) d Water Maser Disks: h A detailed look at NGC 4258 h Incidence of water masers in galactic nuclei d HST studies of dust and gas disks h A detailed look at NGC 4261 h Biases and Systematics of the Dynamical Models h Incidence of nuclear dust/gas Disks

Historical Perspective d Historically, the kinematics of ionized and neutral gas near (< 8

Historical Perspective d Historically, the kinematics of ionized and neutral gas near (< 8 pc) the galactic center presented the first indication for the existence of a central mass concentration (early review and references in Genzel & Townes 1985 ARA&A 25, 377). VLA 6 cm image of the inner few pcs

Historical Perspective Ionized gas streamers(< 1. 7) Neutral circumstellar ring (1. 7 < R

Historical Perspective Ionized gas streamers(< 1. 7) Neutral circumstellar ring (1. 7 < R < 9 pc) - dominated predominantly by circular motion Mass estimate from the stellar velocity dispersion Mass distribution from the 2 m stellar brightness profile Models with a 3. 0 106 and 2. 5 106 central mass concentration.

Historical Perspective d Gas kinematics, however, has traditionally been dismissed in fear that forces

Historical Perspective d Gas kinematics, however, has traditionally been dismissed in fear that forces other than d gravity might push the gas around, and therefore that gas motion might not be a good tracer of mass: “. . as usual it is not certain that gas velocities measure mass” (Kormendy & Richstone 1995, ARA&A, 33, 581, referring to the maser disk in NGC 4258 - no less!). Gas dynamical mass estimates started to draw serious attention with the discovery of regular, small nuclear disks of gas and dust in a significant fraction of early type galaxies (Jaffe et al. 1993, Nature, 364, 213; Ford et al. 1994; Ferrarese, Ford & Jaffe).

A Very Special Case: NGC 4258 d NGC 4258 was one of the 12

A Very Special Case: NGC 4258 d NGC 4258 was one of the 12 galaxies originally identified by Seyfert. Based on its spectral line profiles, NGC 4258 is a Seyfert 2 galaxy, i. e. the active nucleus is hidden, because of projection effects, by the surrounding dust torus. Palomar 0. 9 inch telescope, BVR composite image

NGC 4258 d Nakai et al (1993) discovered high velocity H 20 maser emission

NGC 4258 d Nakai et al (1993) discovered high velocity H 20 maser emission at v~1000 km/s relative to the galaxy’s systemic velocity. Data taken with the Effelsberg 100 m telescope; from Greenhill et al. 1995, A&A, 304, 21

The Importance of H 20 Masers d What’s the relevance of H 2 O

The Importance of H 20 Masers d What’s the relevance of H 2 O emission in the SBH context? d At 1. 35 cm, water maser observations can be carried out at exceptional spatial and velocity resolution with the VLBI: =0. 0006 0. 0003 , v= 0. 2 km/s d VLBI spatially resolved observations of water maser emission in NGC 4258 have allowed to h measure the mass of the central SBH with unparalleled precision h measure the distance to the galaxy with unparalleled precision, thus providing a potentially very important test of the extragalactic distance scale. Myioshi et al. 1995, Nature, 373, 127

A (More Complex) Model NGC 4258. d The degree of warping can be constrained:

A (More Complex) Model NGC 4258. d The degree of warping can be constrained: a warped disk can be modeled using nine parameters, namely : 1 -2. the (x, y) positions of the center of mass, 3. the galaxy systemic velocity, 4 -5. the inclination as a function of radius (2 parameters) 6 -8. the position angle as a function of radius 9. the central mass. d The observables are: 1. relative position of the clouds in the sky, 2. line of sight velocity and 3. acceleration for each of the maser clouds. d Therefore the problem is fully constrained. From top to bottom: h Position angle changes with radius; h Both position angle and inclination change with radius h best fitting flat disk (can be excluded because it predicts a systemic velocity in significant disagreement with the observed value). From Herrnstein, Greenhill & Moran 1996, Ap. J, 446, L 17

Other SBH Detections from H 2 O Masers d Circinus (Greenhill et al. 2003,

Other SBH Detections from H 2 O Masers d Circinus (Greenhill et al. 2003, astro-ph/0302533): MBH=(1. 7 0. 3) 106 M h The edge-on disk extends from 0. 1 to 0. 4 pc. The rotation curve is nearly Keplerian, although the disk is probably fairly massive (up to 25% the central mass) and therefore self-gravity is not negligible. h A second population of masers traces a wide angle outflow up to 1 pc from the central engine.

Other SBH Detections from H 2 O Masers d NGC 1068 (Greenhill et al.

Other SBH Detections from H 2 O Masers d NGC 1068 (Greenhill et al. 1996, Ap. J, 472, L 21): MBH~107 M h The rotation curve is sub-Keplerian, the disk might be self-gravitating and there might be a significant turbulent component.

Water Maser Surveys How common are water masers? d Braatz, Wilson & Henke 1996,

Water Maser Surveys How common are water masers? d Braatz, Wilson & Henke 1996, Ap. JS, 106, 51 h 354 galaxies, including a distance and magnitude limited sample of Seyfert and LINER galaxies with cz< 7000 km /s, plus some active galaxies, including radio galaxies, at higher redshift. Detection rate is 7% among 216 Seyfert 2 nuclei and LINERs, with no masers occurring in Seyfert 1 nuclei (Braatz, Wilson, & Henkel 1997, Ap. JS, 110, 321). d Greenhill et al. 1997, Ap. J, 486, L 15 h 26 AGNs observed with the 70 m antenna of the NASA Deep Space Network. One detection (NGC 3735), with emission at systemic velocity only (4% detection efficiency). d Greenhill et al. 2002, Ap. J, 565, 836 h 131 AGNs observed at the Parkes Observatory. One detection, with emission at systemic velocity only (1% detection efficiency).

Water Maser Surveys d Greenhill et al. 2003, Ap. J, 582, L 11: survey

Water Maser Surveys d Greenhill et al. 2003, Ap. J, 582, L 11: survey of 160 nearby (cz< 8100 km/s) AGNs with the 70 m antenna of the NASA Deep Space Network in Australia. Larger sensitivity and wider wavelength coverage than previous surveys. h 7 new sources detected (4% detection rate), with two sources exhibiting high velocity masers (figure at right). d Besides the fact that water maser emission is not detected in Seyfert 1 galaxies, no strong correlations have yet been found between maser emission and the global properties of the host galaxies, although where X-ray measurements are available, all known H 2 O masers lie in galaxies with large X-ray obscuring columns, 1023 cm-2 (Braatz et al. 1997, Ap. JS, 110, 321).

A Complete Census of H 20 Maser Detections GALAXY REFERENCE AGN TYPE M 51

A Complete Census of H 20 Maser Detections GALAXY REFERENCE AGN TYPE M 51 Hagiwara et al. 2001 Seyfert 2 NGC 253 Nakai et al. 1995 Starburst NGC 1052 Braatz et al. 1996 LINER NGC 1068 Greenhill et al. 1996 Seyfert 2 NGC 1386 Braatz et al. 1996 Seyfert 2 NGC 2639 Braatz et al. 1996 Seyfert 2 NGC 2824 Greenhill et al. 2003 ? NGC 2979 Greenhill et al. 2003 Seyfert 2 NGC 3079 Trotter et al. 1998 Seyfert 2 NGC 3735 Greenhill et al. 1997 Seyfert 2 NGC 4258 Greenhill et al. 1995 Seyfert 2 NGC 4945 Greenhill et al. 1997 Seyfert 2 NGC 5347 Braatz et al. 1996 Seyfert 2 NGC 5506 Braatz et al. 1996 Seyfert 2 NGC 5643 Greenhill et al. 2003 Seyfert 2 NGC 6300 Greenhill et al. 2003 Seyfert 2 NGC 6929 Greenhill et al. 2003 Seyfert 2 IC 1481 Braatz et al. 1996 LINER IC 2560 Braatz et al. 1996 Seyfert 2 Mrk 1210 Braatz et al. 1996 Seyfert 2 Mrk 1419 Henkel et al. 2002 Seyfert 2 Circinus Greenhill et al. 2003 Seyfert 2 ESO 269+G 012 Greenhill et al. 2003 ESO 103 -G 35 Braatz et al. 1996 IRASF 19370 -0131 Greenhill et al. 2003 IRASF 01063 -8034 Greenhill et al. 2002 perhaps no no yes no no no no yes yes Seyfert 2 DISK? VLBI? no yes, disk is self gravitating. yes, best case for a SBH no no no yes, good SBH mass estimate yes no no

Larger Scale Gas/Dust Disks d A small (102 pc), nuclear dust/gas disk was first

Larger Scale Gas/Dust Disks d A small (102 pc), nuclear dust/gas disk was first discovered in the E 2 galaxy NGC 4261, using the Hubble Space Telescope (Jaffe et al. 1993, Nature, 364, 213) d Why are the disks intriguing? h They are very regular, suggesting a simple dynamical structure. h They are very thin, suggesting that the kinematics of the dust and gas are dominated by rotation. h They contain ionized gas, which produces easily detectable emission lines, which can be used to study the disks kinematics h They are always found in low-luminosity AGNs (radio galaxies and LINERS). In all cases, the minor axis of the disk is roughly aligned with the radio jets, suggesting a causal connection between the disks and the central engines. d The origin and dynamical evolution of the disks are not known, but hold clues to the evolution of their host galaxies.

Disks and Radio Jets

Disks and Radio Jets

Emission Lines from the Disk d The line profiles are symmetric, excluding a d

Emission Lines from the Disk d The line profiles are symmetric, excluding a d d one-direction outflow The largest velocities are measured along the major axis of the disk, excluding a bidirectional outflow (which would produce the largest velocities along the minor axis, unless the outflow is misaligned with the radio structure) The forbidden lines are broad, implying that the lines are broadened by rotation. NGC 4261 (Ferrarese, Ford & Jaffe 1996)

Gas Motion in the M 87 Nucleus

Gas Motion in the M 87 Nucleus

Gas Motion in the M 87 Nucleus From Macchetto et al. 1997, Ap. J,

Gas Motion in the M 87 Nucleus From Macchetto et al. 1997, Ap. J, 489, 579

Gas Motion in the M 84 Nucleus

Gas Motion in the M 84 Nucleus

Analysis of Dust Disk Kinematics d Procedure: 1) given the observed surface brightness profile,

Analysis of Dust Disk Kinematics d Procedure: 1) given the observed surface brightness profile, build an axisymmetric mass model for the stellar population, under the assumption of a (constant) mass to light ratio. Dust obscuration needs to be taken into account. 2) Construct the central potential, as the sum of the stellar potential, disk potential and the potential of a central point mass. 3) Derive the circular velocity corresponding to the potential. Notice that this step is much simplified compared to the case in which stellar kinematics is involved: the assumption here is that the system under study is 2 -dimensional and dominated by rotation. 4) Project the circular velocity for a grid of disk inclination and position angles. 5) Compare to the observables, and iterate until the potential and geometrical parameters of the disk than minimizes the 2 of the fit are found.

Analysis of Gas Disk Kinematics d The observed (projected) velocity is a function of

Analysis of Gas Disk Kinematics d The observed (projected) velocity is a function of location within the disk, and of the inclination angle of the disk relative to the line of sight. We can also allow for the possibility that the kinematical axis is not aligned with the major axis of the large scale dust disk. Dust Disk i r M(r) is the total mass within radius r, including: 1) a central mass M 2) the stellar mass (M/L) (r, , )drd d 3) the disk mass (known from the optical depth analysis) Unknowns are: I. III. IV. Kinematical Axis the central mass M the stellar mass to light ratio M/L the kinematical position angle the disk inclination angle i

Analysis of Gas Disk Kinematics: NGC 4261 d The total mass to light ratio

Analysis of Gas Disk Kinematics: NGC 4261 d The total mass to light ratio within 0. 1 arcsec is 2100 M /L

Analysis of Gas Disk Kinematics: NGC 4261 Dust Disk Inner Disk (from the dynamical

Analysis of Gas Disk Kinematics: NGC 4261 Dust Disk Inner Disk (from the dynamical models) Stellar Isophotes

Gas Disks: Potential Problems d There are instrumental effects which need to be accounted

Gas Disks: Potential Problems d There are instrumental effects which need to be accounted for in the preceding analysis, or biases can arise. In particular, smearing due to the finite width of the slit, and PSF blurring can be important (Maciejewski & Binney 2001) but, thankfully, easily quantifiable. d There are, however, several other issues which are difficult to quantify given the quality of the available data. h. Is the disk structure really as simple as it appears? Probably not! In particular, we need to account for: ¢ Presence of a significant intrinsic velocity dispersion in all of the disks, which may not be gravitational in nature (Harms et al. 1994, Ferrarese, Ford & Jaffe 1996, Ferrarese & Ford 1999, Cappellari et al. 2002, Verdoes Kleijn et al. 2002, etc. . ) ¢ Presence of warps in the disk (Ferrarese, Ford & Jaffe 1996, Ferrarese & Ford 1999, Cappellari et al. 2002). d Stellar and gas dynamical estimates of MBH have been carried out in only one galaxy, IC 1459 (Verdoes Kleijn et al. 2000, Cappellari et al. 2002) h. MBH(gas) = (0. 4 1. 0) 109 M velocity field) h. MBH(stars) = (4. 0 6. 0) 109 M data) h. MBH(stars) = (2. 6 1. 1) 109 M (depending on the assumptions made for the gas (using 2 I axisymmetric modeling of ground based (using 3 I modeling of HST/STIS data with N 0/Nc=2. 0)

Incidence of Dust Disks d How common are dust disks? h Van Dokkum &

Incidence of Dust Disks d How common are dust disks? h Van Dokkum & Franx (1995, AJ, 110, 2027): 64 E-type galaxies from HST archive ¢ Incidence of dust 49% Incidence of dust disks 13% h Rest et al. (2001, AJ, 121, 2431): 67 E-type galaxies drawn from a volume a magnitude limited sample ¢ Incidence of dust 43% Incidence of dust disks 15% Incidence of dust 38% Incidence of dust disks 14% h Laine et al. (2003, AJ, 125, 428): 81 BCGs from HST snapshot program ¢

A Census of SBH Detection From Gas Disks MBH + - (108 solar masses)

A Census of SBH Detection From Gas Disks MBH + - (108 solar masses) Reference 33. 0 5. 4 1. 2 Ferrarese et al. 1996, Ap. J, 470, 444 S 0 16. 7 3. 3 1. 9 1. 1 Cretton & v. d. Bosch 1999, Ap. J, 514, 704 N 4374 E 1 18. 7 17 12 6. 7 Bower et al. 1998, Ap. J, 492, L 111 N 4486 E 0 pec 16. 7 35. 7 10. 2 Macchetto et al. 1997, Ap. J, 489, 579 N 6251 E 104 5. 9 2. 0 Ferrarese & Ford 1999, Ap. J, 515, 58 N 7052 E 3. 7 2. 6 1. 5 v. d. Marel & v. d. Bosch 1998, AJ, 116, Devereux et al. 2003, AJ, 125, 1226 Galaxy Type N 4261 E 2 N 4342 Distance (Mpc) 66. 1 2220 M 81 SA(s)ab 3. 9 0. 70 0. 2 0. 1 N 2787 SB(r)0 7. 5 0. 90 6. 89 0. 69 N 3245 SB(s)b 20. 9 2. 1 0. 5 Barth et al. 2001, Ap. J, 555, 685 N 5128 S 0 pec 3. 5 2. 0 3. 0 1. 4 Marconi et al. 2001, Ap. J, 549, 915 Cyg. A E 240 25. 0 7. 0 Tadhunter et al. 2003, astro-ph/0302513 Sarzi et al. 2001, Ap. J, 550, 65

Points to Bring Home d Gas dynamics present a powerful alternative to stellar dynamical

Points to Bring Home d Gas dynamics present a powerful alternative to stellar dynamical studies, at least in low luminosity AGNs residing in early type galaxies (optical nuclear dust disks) and Seyfert 2 galaxies (water maser disks). d About 15% of all early type galaxies host nuclear dust disks, while perhaps 4% to 7% of Seyfert 2 (and some LINERS) host water maser disks. d Gas dynamics is subject to systematic biases which are completely independent from those afflicting stellar dynamical studies (or, as we will see, reverberation mapping studies). Comparing mass estimates for the same galaxy using different methods can yield useful insights onto the nature of such systematics. d Gas dynamics and stellar dynamics are somewhat complementary. For instance, gas dynamics allow to probe large, spherical, pressure supported ellipticals, or late type spirals and AGNs which are problematic for stellar dynamical studies. d The study of nuclear dust disks is interesting beyond the SBH mass issue. The disks can tell us about the history of their host galaxies and the feeding habits of the central monster.

Suggested Readings d Water masers (review, although a little dated) Moran et al. 1999,

Suggested Readings d Water masers (review, although a little dated) Moran et al. 1999, in the Journal of Astronomy and Astrophysics (India), proceedings of the Meeting on the Physics of Black Holes, astro-ph/0002085, d Nuclear Dust Disks: M 87, the Saga Continues… Ford et al. 1994, Ap. J, 435, L 27 Harms et al. 1994, Ap. J, 435, L 35 Macchetto et al. 1997, Ap. J, 489, 579