10. Accretion Disks Flashcards

1
Q

When does an accretion disk form?

A

When material falls onto a protostar with substantial angular momentum

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2
Q

What shape are accretion disks?

A

Geometrically thin (H«R)

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3
Q

What is the orbital velocity of an accretion disk?

A

Close to Keplerian

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4
Q

What is Keplerian velocity proportional to?

A

R^-1/2

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5
Q

What would the velocity vs radius graph look like for an accretion disk?

A

At radius = 0, velocity is very steep

As radius increases, velocity quickly decreases and eventually flattens

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6
Q

What is the trend for orbital velocity of planets in the solar system?

A

Follow Keplerian rotation i.e. velocity prop to 1/r^2

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7
Q

Why are they called accretion disks?

A

Viscosity in disk causes mass transfer inwards, and angular momentum transfer outwards

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8
Q

How do we know accretion disks are viscous?

A

Efficient mass and angular momentum transfer

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9
Q

Do we know the source of viscosity (viscosity mechanism) in the disk?

A

Unknown - turbulence or magnetic fields (or disk winds)

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10
Q

As time proceeds, how does the disk progress?

A

Ring spreads, and distributes more and more mass to smaller radii

(non-symmetric annulus)

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11
Q

How can accretion disks be observed (generally)?

A

Directly (imaging)

Indirectly (excess emission at IR wavelengths)

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12
Q

Direct evidence for disks?

A

Spatially resolved thermal emission from dust grains

Spatially and/or spectrally resolved molecular line emission

Reflected/scattered light

In silhouette against bright nebular background

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13
Q

Challenges of observing disks?

A

Tiny - only span a few arcsecs

Outer, cold regions only emit at long (~mm) wavelengths

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14
Q

What does spatially resolved thermal emission of a disk look like?

A

Can’t see star (doesn’t emit at mm wavelengths)

See dust around star

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15
Q

What did spatially resolved emission from about 10 years ago show?

A

Cavities in accretion disks (not smooth) - inner regions void of dust

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16
Q

In the ALMA images of spatially resolve thermal emission, there is a lot of structure in the disks. Why?

A

Protoplanetary disks

Each gap is a planet that is actively forming, orbiting here and sweeping up material from the disk

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17
Q

What do spiral arms in disks lead to?

A

Potential to be gravitational unstable, and mechanism to form gas giant planets

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18
Q

Can we use spectrally resolved molecular lines to infer disk presence?

A

Using kinematics of disk, and knowledge of keplerian rotation

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19
Q

How do orbiting molecular disks appear when using spectrally resolved molecular lines?

A

Double-peaked line profile

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20
Q

In the double peaked line profile of a disk, what is creating the emission?

A

Molecular line emission i.e., when electron is de-excited and emits a photon

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21
Q

How does a disks’ molecular lines compare to Larson’s?

A

Larson had a Gaussian with FWHM, disks had double peaks

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22
Q

Why do we see double peaks in the molecular line profile of a disk?

A

Disk is inclined towards the line of sight

One peak is from red-shifted side (moving away) and the other blue-shifted (moving towards)

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23
Q

Does does inclination of the disk affect line profile?

A

More inclined, so line is more rotationally broadened (greater velocities over which emission is occurring)

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24
Q

What have interferometers (e.g., ALMA) allowed in terms of spatial resolution?

A

Map not only thermal emission (and so dust distribution)

But also kinematics and distribution of molecular gas

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25
Q

When were the first spatially and spectrally resolved images of molecular line emission possible?

A

In 1990s, first interferometers available

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26
Q

What diagram can be made with spatially resolved molecular line emission?

A

Position-position-velocity

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27
Q

Why is there a different inclination fit for dust (40º) and gas (30º) for the molecular disk using spectrally resolved molecular line emission?

A

Disk is not geometrically thin - vertical extent

Warp in the disk - change in inclination from inner to outer region - giant planet orbiting in disk

28
Q

In channel-by-channel images of spatially resolved molecular lines, why is the higher velocity emission more compact?

A

Only the inner material of the disk is orbiting at the projected high velocity

29
Q

How do we see a disk from scattered light?

A

Do not see the disk directly, but see it indirectly because there is enough dust to obscure light from the central star

30
Q

What do modern telescopes employ to see scattered starlight?

A

Coronagraphs

31
Q

What wavelengths are we looking for scattered light from the disk?

A

Optical / NIR

32
Q

Why might rings of emission not be concentric/spherical in a coronagraph?

A

Scattered light coming from elevated surface

33
Q

Do coronagraphs show dust in the mid-plane?

A

No - its dust higher in the disk surface

We need longer wavelengths for planet formation in the mid-plane

34
Q

How do we see disks via silhouette?

A

Disk obscures background light from nebula (mainly emitting at optical / UV which disk is good at blocking)

35
Q

How can spectral energy distribution help to find dusty disks around young stars?

A

Broadband spectrum from UV to mm wavelengths - how emission from source varies as a fn of wavelength

36
Q

Which cases do we consider generation and shape of SEDs?

A

Accretion disk spectrum

Emission from surrounding cloud

Evolution of IR spectra from young stars

37
Q

How was it identified that SEDs can be used to find disks?

A

Some young stars were brighter than they should’ve been at IR wavelengths if there were emitting as black bodies = IR excess generated due to dust around young stars

38
Q

What sets the SED of an object?

A

Its temperature structure

39
Q

What is presumed in SEDs?

A

Material is emitting as a black body

40
Q

What is the temperature structure within an accretion disk?

A

T prop to r^-3/4

(warmer in the centre)

41
Q

Show the temperature dependence of the accretion disk is T ∝ r^-3/4

A

See notes

42
Q

What does the SED for an accretion disk look like?

A

mm: Very little

IR: Spectrum peaks - accretion warms disk to emit at these wavelengths

Optical / UV: Very little as disk doesn’t get hot enough to emit

43
Q

Why can we use SEDs to distinguish between a star and a disk?

A

Star does not emit strongly at IR, whereas disk does

44
Q

What does can shape of SED tell us for disks?

A

Accretion rate

(Brighter disks with shallower spectra being most strongly accreting)

45
Q

What does a shallower (and brighter) spectra on a SED mean for a disk?

A

Most strongly accreting

46
Q

How can excess IR be generated?

A

Accretion

Passive absorption and remission of energy from star by disk

47
Q

What can emission from the circumstellar dust help us find?

A

Deeply embedded protostars and massive star

48
Q

Why is emission from circumstellar dust important to find stars?

A

When first formed, stars embedded in dusty envelope

Any UV/optical radiation from star (or accretion shock) is absorbed by dust and re-radiated in the IR

49
Q

What wavelengths does a star emit?

A

UV / optical

50
Q

What wavelengths does an accretion shock emit?

A

UV / optical

51
Q

Why does circumstellar dust around a star become luminous?

A

It absorbs the UV from the star, heating the dust up so it emits in the IR

52
Q

What do we assume for circumstellar dust emitting at IR?

A

They are black bodies

53
Q

What wavelength does circumstellar dust emit at?

A

Mid IR

54
Q

Where is the peak in the SED for a deeply embedded massive star?

A

Shifts to longer wavelengths compared to star, peaks in IR about 100µm

55
Q

What value is SED peak for a deeply embedded star?

A

100 µm

56
Q

Does emission from circumstellar dust give a different temperature profile than an actively accreting disk?

A

Yes

57
Q

Show temperature dependence of dusty envelope is T ∝ r^-0.4

A

See notes

58
Q

Assumptions when deriving temperature structure in dusty envelope?

A

Dust grain spherical

Star emitting light at UV

No dust along line of sight

Dust grain remits IR in all directions

59
Q

How do the temperature profiles for the accretion disk and passive disk compare?

A

Accretion disk T ∝ r^-3/4

Passive disk T ∝ r^-2/5

60
Q

Why are the temperature profiles for an accretion disk and a passive disk different?

A

Reason for the heating is different

(Energy gained equated to Accretion luminosity vs UV from star absorbed by dust grains remitted at IR)

61
Q

What dominates heating (accretion vs passive disk) in an actual disk?

A

Heating dominated by accretion in centre

Outer regions, more optically thin to stellar light, more passive disk

62
Q

How does the SED change as the process evolves?

A

Class 1 Early stages - dusty envelope optically thick (even at IR wavelengths) - peaks in far IR (cold)

Class 2 Envelope clears - peak shifts to shorter wavelengths until light from star and disk revealed (dusty disk)

Class 3 Disk disperses - leaves behind emission from star only

63
Q

What is Class 0 objects for an SED?

A

Emit only at sub mm wavelengths, just a cool black body (envelope mass > protostar mass)

Core on brink of collapse / just started

64
Q

What does viscous evolution lead to?

A

Mass transfer inwards, angular momentum transfer outwards

65
Q

What happens as young stellar objects evolve from Class 0 to Class III?

A

Peak in spectral energy distribution shifts to shorter wavelengths, as the envelope, then the disk, disperse and the star is gradually revealed