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Infall and Rotation around Young Stars Formation and Evolution of Protoplanetary Disks Michiel R. Hogerheijde Steward Observatory The University of Arizona
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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An overview of star formation (Hogerheijde 1998; after Shu et al. 1987)
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Cloud Structure Cloud complex Filaments Cores Kernels Motte & André (2001)
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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Rotation in interstellar clouds Line width – size relation Specific angular momentum – size relation Magnetic breaking Turbulence as a source of rotation
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Rotation in interstellar clouds v–R relation (Larson 1981) Larson (1981) v R 0.5
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Rotation in interstellar clouds Line width – size relationship v R, =0.53 0.07 (Caselli & Myers 1995) Virial equilibrium: 2K+W=0 M v 2 -GM 2 /R=0 v R 0.5 Turbulent and/or rotational support for cloud cores
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Rotation in interstellar clouds J/M–R relation (Goodman et al. 1993) R -0.4 ~ constant J/M R 1.6 Goodman et al. (1993)
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Rotation in interstellar clouds
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Magnetic breaking (Königl 1987; Mouschovias 1991) Basu (1997)
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Rotation in interstellar clouds Turbulence as a source of rotation (Burkert & Bodenheimer 2000) n=-4 n=-3 n=-2 Different realizations p(k)~k n J/M=2.3 10 -3 km s -1 pc =0.03, independent of R Burkert & Bodenheimer (2000)
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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Decoupling of collapsing cores Goodman et al. (1998) R>0.1 pc v R 0.5 R<0.1 pc v R 0 Transition to coherence Scale corresponds to clustering-scale of young stars in Taurus (Larson 1995) (dramatization) Goodman et al. (1998)
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Decoupling of collapsing cores Ohashi et al. (1997) Two embedded YSOs in Taurus IRAS 04169+2702: rotating, flattened envelope; must be infalling too IRAS 04365+2535: compact core; could be rotationally supported R~0.1 pc Ohashi et al. (1997)
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Decoupling of collapsing cores Belloche et al. (2002) Deeply embedded YSO IRAM 04191+1521 Outflow Flattened envelope Spectral signature of infall Position-velocity diagram suggests rotation Belloche et al. (2002)
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Decoupling of collapsing cores 1D model of infall 2D model of rotation Break at ~3300 AU (0.02 pc) Infall: constant inside-out Rotation: slow spin up Mass reservoir ~0.5 M Belloche et al. (2002)
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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Formation of disks Terebey, Shu, & Cassen (1984; TSC84) Inside-out collapse: a sound, t Slow rotation, solid body: Centrifugal radius R c a sound t 3 2 Initial growth of disk small (t<1) Rapid growth at late times (t>1): infall of material from large R with large R
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Formation of disks Basu (1998) Weak magnetic field Magnetic breaking: differential rotation R -1 R c t 2 Rapid initial growth Later growth linear: material at large R has smaller initial TSC84 Basu (1998)
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Formation of disks Stahler et al. (1994) Growth of disk in TSC84 framework 3 regions Inner dense disk, Keplerian, R<R d Outer tenuous disk, rapid inflow, R d <R<R c Narrow dense ring where mass and angular momentum piles up, R d 0.34 R c Adapted from Stahler et al. (1994)
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Formation of disks Shear motions dissipated by viscosity Source of viscosity unknown; turbulence? viscosity: = a sound H (Shakura & Sunyaev 1973) Stellar irradiation, viscosity sets up temperature distribution T R -1/2 R Resulting surface density distribution (R)= 0 (R/R 0 ) -1 (Lynden-Bell & Pringle 1974; Pringle 1981) Continued evolution: disk spreading while matter accretes onto star
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Formation of disks Vertical scale height H set by temperature Increased angle of interception stellar light raises temperature Result: Flaring disk (e.g., DAlessio et al. 1998; Chaing & Goldreich 1997; Dullemond et al. 2001)
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Outline An overview of star formation Rotation in interstellar clouds Decoupling of collapsing cores Formation of disks L1489 IRS: A transitional object with a contracting disk? Summary and further work
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L1489 IRS: A transitional object with a contracting disk? L1489 IRS = IRAS 04016+2610 L bol =3.7 L embedded YSO Taurus, d~140 pc Very weak outflow HST/NICMOS: inclined, cleared-out cavity (Padgett et al. 1999) Padgett et al. (1999)
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L1489 IRS: A transitional object with a contracting disk? SCUBA submillimeter continuum images, 850 and 450 µm Compact emission around star Extended starless core 8000 AU to north-east Hogerheijde & Sandell 2000
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L1489 IRS: A transitional object with a contracting disk? Hogerheijde & Sandell 2000 Best-fit Shu (1977) parameters: a sound =0.46±0.04 km s -1 t=(1.3–3.2) 10 6 yr r CEW =130,000–300,000 AU >> core
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L1489 IRS: A transitional object with a contracting disk? Hogerheijde & Sandell 2000 Classic infall signature Can fit collapse model to data, but not for same (a sound, t)
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L1489 IRS: A transitional object with a contracting disk? Hogerheijde & Sandell 2000 L1527 IRS Classic infall signature Well fit for same (a sound, t)
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L1489 IRS: A transitional object with a contracting disk? Hogerheijde & Sandell 2000 TMC1 Classic infall signature Well fit for same (a sound, t) Not a problem with the Shu (1977) inside out collapse model
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L1489 IRS: A transitional object with a contracting disk? BIMA and OVRO millimeter interferometer maps HCO + J=1–0 and 3–2 Resolution ~5 =700 AU Rotating disk, not infalling envelope Radius ~2000 AU, >> typical disk around T Tauri stars 2000 AU Hogerheijde 2001
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L1489 IRS: A transitional object with a contracting disk? Position–velocity diagrams look like Keplerian rotation 2800 0 -2800 0 2 -2 2 0 Velocity (km s -1 ) Offset (AU) Flared disk Keplerian rotation around M =0.65 M v in =1.3 (R/100 AU) -0.5 km s -1 M disk =0.02 M (from SCUBA) Hogerheijde 2001
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L1489 IRS: A transitional object with a contracting disk? Interferometer and single-dish spectra reproduced Including infall signature Requires some foreground absorption in HCO + 1–0 Hogerheijde 2001
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L1489 IRS: A transitional object with a contracting disk? L1489: Rotation>infall Life time2 10 4 yr M disk / 1 10 -6 M yr -1 L acc 7 L > L bol Inferred: L acc <0.3 L TMC1: Rotation<infall R c at 360 AU Expanding t 3 Reaches 2000 AU in another (1–2) 10 5 yr, ~twice current age and >> life time L1489s disk Hogerheijde (2001)
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Open questions Transitional large-disk stage? Redistribution of angular momentum, leading to smaller disk as seen around T Tauri stars? Do inward motions continue all the way to the star?
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L1489 IRS: A transitional object with a contracting disk? Keck/NIRSPEC CO gas and ice absorption lines at 4.7 µm (Boogert et al. 2002) 12 CO ro- vibrational P,R lines 13 CO ro- vibrational lines + 12 CO ice band C 18 O ro- vibrational lines
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L1489 IRS: A transitional object with a contracting disk? Average line profiles 13 CO < 12 km s -1 12 CO wing extends to +100 km s -1 Wings present in entire P,R branches Infall to within 0.1 AU from star Boogert et al. (2002)
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L1489 IRS: A transitional object with a contracting disk? Infall model: Predicted average line profile Flatter density profile: skimming flared disk surface Infall model: Predicted average line profile Flatter density profile: skimming flared disk surface Add 10% scattered star light Boogert et al. (2002)
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L1489 IRS: A transitional object with a contracting disk? Large disk, R~2000 AU Inward motions from 2000 to <0.1 AU Life time ~2 10 4 yr 5% embedded phase Disk settling to rotationally supported size? Supersonic motions Disk instability? Mass accretion rate >> observed if entire (inner) disk flows in Inflow in surface layer only?
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Summary and future work Cloud cores have velocity structure resembling rotation Turbulent origin likely Rotation not important for cores dynamics Dense condensations decouple from magnetic breaking, spin up. R~4000–20,000 AU Disk forms at center, grows t 1…3 L1489 IRS: short-lived transitional stage, where large disk settles to Keplerian structure Continued inflow puzzling. Contrary to expectation of viscous disk (subsonic accretion; disk spreading)
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Summary and future work Find more objects like L1489 IRS: ~5% of YSOs Orientation of L1489 IRS may be advantageous Higher resolution observations of disks velocity structure: SMA, CARMA, ALMA Different chemical tracers: disk interior vs. surface
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