1 reverberation mapping of active galactic nuclei planets to cosmology: essential science in...

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1 Reverberation Mapping of Active Galactic Nuclei Planets To Cosmology: Essential Science In Hubble's Final Years 4 May 2004 Bradley M. Peterson The Ohio State University Keith Horne University of St. Andrews

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Reverberation Mappingof Active Galactic Nuclei

Planets To Cosmology:  Essential Science In Hubble's Final Years 4 May 2004

Bradley M. PetersonThe Ohio State University

Keith HorneUniversity of St. Andrews

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~10 17 cm

The Inner Structure of AGNs• Black-hole/accretion-disk

produces a time-variable high-energy continuum that ionizes and heats nuclear gas, which produces broad emission lines.

• Angular size of nuclear regions is of order microarcseconds.

• Broad-line region (BLR): role in accretion process?

• How do we determine the geometry, kinematics, and role of the BLR?

The Nature of the BLR

• Double-peaked Balmer-line profiles– Characteristic of rotating

disks– Small subset of AGNs

NGC 1097Storchi-Bergmann et al. (2003)

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The Nature of the BLR

• Evidence for outflows– Clear blueward

asymmetries in some cases

– Blueshifted absorption features are common

Leighly (2001)

Chandra: Kaspi et al. (2002)HST: Crenshaw et al. (2002)FUSE: Gabel et al. (2002)

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The Nature of the BLR• Gravity is important

– Broad-lines show virial relationship between size of line-emitting region and line width, r V2

– Yields measurement of black-hole mass

Tremaine slope

Ferrarese slope

AGN Black Holes on the MBH – * Relationship

The AGN Mass–Luminosity Relationship

Strong

evid

ence

for o

utflo

ws

Evidence for disk

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Reverberation Mapping• Kinematics and

geometry of the BLR can be tightly constrained by measuring the emission-line response to continuum variations.

NGC 5548, the most closely monitored Seyfert 1 galaxy

Continuum

Emission line

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Reverberation Mapping Assumptions1 Continuum originates in a single central

source.– Continuum source (1013–14 cm) is much smaller

than BLR (~1016 cm)– Continuum source not necessarily isotropic

2 Light-travel time is most important time scale.• Cloud response instantaneous

rec = ( ne B)1 0.1 n101 hr

• BLR structure stable dyn = (R/VFWHM) 3 – 5 yrs

3 There is a simple, though not necessarily linear, relationship between the observed continuum and the ionizing continuum.

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The Transfer EquationUnder these assumptions, the relationship between the

continuum and emission lines is:

Emission-linelight curve

“Velocity-delay map”

ContinuumLight Curve

d t C V t V L) ( ) , ( ) , (

Simple velocity-delay map

Velocity-delay map is line response to a -function outburst.

Goal of reverberation mapping is torecover velocity-delay map

from observables

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= r/c

“Isodelay Surfaces”

All pointson an “isodelaysurface” have the same extralight-travel timeto the observer,relative to photonsfrom the continuumsource.

= r/c

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• Consider simple case of clouds in circular orbits at inclination i = 90°, orbital speed Vorb.

• Clouds at intersection of isodelay surface and orbit have line-of-sight velocities V = –Vorb sin.

• Circular orbit projects to an ellipse in the (V, ) plane.

Velocity-Delay Map for an Edge-On Ring

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Thick Geometries

• Generalization to a disk or thick shell is trivial.

• General result is illustrated with multiple-ring system.

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Two Simple Velocity-Delay Maps

Inclined Kepleriandisk

Randomly inclinedcircular Keplerian orbits

The profiles and velocity-delay maps are superficially similar,but can be distinguished from one other and from other forms.

Broad-line regionas a disk,

2–20 light daysBlack hole/accretion disk

Time after continuum outburst

Timedelay

Line profile atcurrent time delay

“Isodelay surface”

20 light days

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Recovering Velocity-Delay Maps from Real Data

• Existing velocity-delay maps are noisy and ambiguous

• In no case has recovery of the velocity-delay map been a design goal for an experiment!

C IV and He II in NGC 4151(Ulrich & Horne 1996)

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What Will It Take to Map the Broad-Line Region?

• Extensive simulations have been carried out, based on what has been learned over the last decade.

• Accurate mapping requires a number of characteristics (nominal values follow):– High time resolution ( 0.2 day)– Long duration (several months)– Moderate spectral resolution ( 600 km s-1)– High homogeneity and signal-to-noise (~100)

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10 Simulations Based on HST/STIS Performance

Each step increases the experiment duration by 25 days

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Some Important Points• For NGC 5548, all experiments succeed within

200 days– If you’re lucky, success can be achieved in as little as

~60 days (rare) or ~150 days (common)

• Results are robust against occasional random data losses– Nominal S/C and STIS safings have been built into the

simulations with no adverse effect

• What if the velocity-delay map is a “mess”?– You’ve still learned something important about the BLR

structure.– It probably won’t be a mess since long-term monitoring

shows persistent features that imply there is some order or symmetry.

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Key Points

1) Reverberation mapping provides a unique probe of the inner structure of AGNs.

2) Broad-line region size has been measured directly in 35 AGNs, leading to determination of their black-hole masses. Uncertain by factor ~3 Accuracy limited by unknown geometry/kinematics

of BLR

3) Recovery of complete velocity-delay maps is possible with Hubble Space Telescope.