Eagle Nebula Primer

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    Eagle Nebula Pillars:

    From models to observations

    5th

    International Conference on High Energy Density Laboratory AstrophysicsMarch 10 13, 2004

    Marc Pound

    University of Maryland

    Jave Kane, Bruce Remington, Dmitri Ryutov

    Lawrence Livermore National Laboratory

    Akira Mizuta, Hideaki Takabe

    Institute of Laser Engineering, Osaka University

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    How do pillars form?

    Pillars (elephant trunks) common

    Formation mechanism unclear

    Instabilities at cloud interface?

    Pre-existing dense cores?

    Observations of morphology alone

    cannot distinguish between models.

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    Formation Mechanism Examples

    Ablative Rayleigh-Taylor instability

    e.g., Spitzer (1954); Frieman (1954);

    Pound (1998); Kane et al. (2001)

    see also Tilted Radiation instability

    Ryutov et al. (2003)

    Shadowing Instability

    e.g., Williams (1999)

    Dense core/Cometary globule

    e.g., Reipurth (1983); Bertoldi & McKee (1990);Lefloch & Lazareff (1994); Williams et al (2001)

    In most of these scenarios, the formation

    timescale for L ~ 0.5 pc is a few X 105 yr

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    Measure received power W as a function offrequency. Antenna temperature T

    A= W/k.

    Doppler shift gives velocity.

    ~ 0.2 10'' V ~ 0.1 km/s

    CO J=10 is the rimar observational

    Horsehead Nebula

    0.5 pc

    Radiotelescopes

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    Datacubes

    Can slice cube in multiple ways, take moments, etc.

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    CO(J=1-0) Integrated Intensity

    Our Data from BIMA array

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    What the observations tell us

    (model constraints)

    Observables

    Temperature

    Velocity

    absolute

    gradient

    dispersion

    line shape

    Magnetic Field

    Derivables

    Density

    Mass

    Pressure

    thermal

    turbulent

    Column density

    Timescales:

    Dynamical

    Evaporation

    ... 40 K

    ... 25 km/s

    ... 10 km/s/pc

    ... 1 km/s

    ... complex

    ... ??

    ... 105 cm-3

    ... 800 Msun

    (P/k)... 106 K cm-3

    ... 108 K cm-3

    ... 1022

    cm-2

    ... 105 years

    ... 107

    years

    See talk by Dmitri Ryutov in

    this session

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    Geometry of Eagle Nebula

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    Our Model

    We have developed a

    comprehensive 2-D hydrodynamicmodel that includes:

    Energy deposition and release due

    to the absorption of UV radiation

    Recombination of hydrogen

    Radiative molecular cooling

    Magnetostatic pressure

    Geometry/initial conditions based

    on Eagle observationsSee Akira Mizuta's

    talk in this session.

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    The ObjectiveTo go from this...

    X, Y, VX

    , VY

    ,

    ...to this.

    X, Y, VZ, F

    We need to create synthetic observations

    by ''observing'' the model.

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    Interferometry and aperture synthesis primer

    BIMA millimeter

    array

    Interferometers measure the Fourier

    Transform of the sky brightness distribution,

    called the visibility function.

    As Earth rotates, antennas pairs trace out

    ellipses in the Fourier domain, sampling

    different spatial frequencies. Longer

    baselines give higher spatial resolution.

    Smooth component of emission ''resolved u

    v

    Example uv coverage

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    Steps to create synthetic observations

    1) Orient model properly on sky: rotation and inclinationi.2) Taper model brightness according to field of view response

    function & mosaic pattern.

    3) Sample with actual uvcoverage of observations to create Fourierdomain visibilities.

    4) Add noise due to receivers and atmosphere. Note this is done in

    the Fourier domain.

    5) Grid the visibilities and FFT back to image domain.

    6) Deconvolve image with ''dirty'' beam (Airy pattern). This is the

    CLEAN algorithm.

    '' ''Tools: NEMO dynamics toolbox, MIRIAD interferometry package

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    1. Orient model on sky

    = 39o (known)

    i = 10o (educated guess for Pillar II)

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    2. Taper model brightness

    Each box corresponds to one field of the mosaic.

    The field of view is a Gaussian with FWHM=100''.

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    3. Sample with actual uv coverage

    Dirty Beam

    Core is elliptical

    Gaussian

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    5. Grid and FFT

    Note sidelobe response.

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    6. & 7. Deconvolve and restore

    Voila!

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    Comparison

    Densest region of model, n(H2) ~ 103

    cm-3

    , isrecovered by interferometer. This is about the

    critical density for excitation of CO.

    Dense region not large enough, however.Let's zoom in for a closer look...

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    Closer Comparison

    Put the model twice as close and reprocess.

    Zoom in on Pillar II.

    Similarity is intriguing

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    Successes

    Basic shape reproduced

    Correct final densities reproduced:

    n(H2) = 103 105 cm-3

    Correct velocity gradient reproduced:

    VY sini~ 3 km/s/pc,

    compare with 2.2 km/s/pc in Pillar IICaveats

    No radiative transfer brightness assumed proportional to

    mass in pixel.

    Comparing 2D model to integrated 3D datacube need a full

    3D or cylindrical model to examine velocity fieldand pillar

    substructure.

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    Summary

    Our model can adequately represent much of the real input

    astrophysics of the Eagle.

    Physical properties of pillars reproduced.

    We have a good technique for creating realistic synthetic

    observations from model data.

    We also have ``cometary'' models ready to be subjected to

    the same technique.

    Use synthetic observations to identify best models. Use bestmodels to design laser experiment.

    Models applicable to many astronomical objects. We have

    good data already for Eagle, Horsehead, and Pelican

    nebulae.Hubble/NICMOS

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    Advertisement

    The Combined Array for Research in Millimeter-wave Astronomy

    (CARMA)

    Merger of BIMA and OVRO mm arrays atnew high site. Operational in mid-2005.

    Order of magnitude improvement in imaging fidelity over

    existing arrays.

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    T i h R l i h T l I bili

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    Testing the Rayleigh-Taylor Instability

    No change in gor inclinationi, can match data.

    A classic RT spike (incompressible, semi-infinite layer thickness) in

    free fall under pseudo-gravity ghas velocity of form:V(X) V

    0= [ 2 g( X X

    0)]1/2

    A i ith th R l i h T l I t bilit !

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    Again with the Rayleigh-Taylor Instability!

    Classic RT has constant density, therefore constant

    column density (# emitters along line of sight).

    Data show large variations in H2column density (clumpiness).

    Th BIMA Milli t A

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    The BIMA Millimeter Array

    Observations at =1 and 3 mm

    Earth-rotation aperture synthesis

    Ten 6.1 meter dishes

    Interferometric baselines as long

    as 2 km

    Resolution of 0.2'' at 1 mm

    Compact configuration for

    mapping large-scale structure

    4 configurations like VLA

    Mosaicing large fields

    Premier imaging millimeter-

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    How long will the Horsehead last?

    evaporation timescale

    tevap

    = M / (dM/dt)

    mass loss rate due to photoionization

    dM/dt = 2r2 cim

    pn

    i

    Lyman continuum absorbed in layer comparable to cloud radius

    ni= (L

    LyC/ 4

    B)1/2 r-1/2 d-1

    tevap

    ~ 5 Myr

    ...plug in the numbers, turn crank...

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    High Contrast Amateur Photo

    There is a bend or "kink" in the Horsehead

    Horsehead Nebula

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    Horsehead NebulaV = 8 15 km/s

    Horsehead Nebula

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    CO(J=1-0) Integrated Intensity

    Horsehead Nebula

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    Centroid Velocitycontours: 0.5 km/s

    Velocity Dispersioncontours: 0.15 km/s

    Molecular clouds

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    Molecular clouds

    Agglomerations of molecular material

    with masses 102

    to 106

    Msun

    Located primarily in galactic spiral arms

    Where stars form

    Dominated by turbulence

    Clumpy structure

    Temperatures ~ few X 10K

    Volume densities ~ 103 107cm-3

    Primarily H2

    with traces of:

    CO 10 4

    dust 10 2

    Bell Labs

    10 pc

    Orion GMC

    Complications

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    Complications

    Eagle pillars appear to be in a very late stage of RT

    evolution, after the bubble has burst. Horsehead appears to be in early stage, but nearby star

    formation history unclear.

    Magnetic fields