Survey for Dust Continuum Emissions toward Circumstellar Disks (I - - PowerPoint PPT Presentation
Survey for Dust Continuum Emissions toward Circumstellar Disks (I - - PowerPoint PPT Presentation
Survey for Dust Continuum Emissions toward Circumstellar Disks (I will focus on nearby T Tauri stars) Munetake MOMOSE (Ibaraki) Detection No Detection Strategy Observations of Dust Disks in Star Forming Regions (d ~ 150 pc) ~ 1"
Strategy
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
ALMAʼs Goals
Understanding the formation of planetary systems “general scenario” (unified theory) ? when/how a planet is formed ? core-accretion vs. gravitational instability rocky planet / gaseous planet / icy planet how common the planet formation is ? YSO Disks = Initial condition for planet formation inner regions (< 102 AU) will critically be important survey will be essential (details are in a later slide)
Previous Trial
(e.g., Kitamura et al. 2002 with the NMA)
13 Single T Tauri stars Strong continuum emission at 1.3mm 1-2” (140-280AU) resolution imaging at λ = 2mm (Image + SED) ← Model Fitting Systematic Derivation of Disk Parameters such as Σ(r), T(r), β
Images : ~ 1” resolution
contour 1.5σ interval, starting at ±1.5σ
Radial Expansion
Evolution of Accretion Disks ?
Evolution
embedded protostars
Limitation of NMA survey
Inadequate angular resolution & sensitivity Derivation of Disk Parameters: Model dependent
Observations with the ALMA
“Direct” Derivation of Disk Structure Brightness distribution at multi-λs →Σ (surface density), T (Temperature), β (emissivity) directly at each position Comparison with Cont. at mid/far-IR and Line → Vertical Structure Higher Sensitivity → Detection of less massive disks Very-high resolution (~ 1AU) observations Better than (current) Optical/nIR telescopes ?
Why we shall need “survey” ?
Statistics to discuss ... disk evolution (how to proceed planet formation ?) diversity (related to diversity in planetary systems) “Highlights” = relatively short timescale ... dust growth / formation of planetesimals (e.g., Miyake & Nakagawa 1993, Wada et al. 2007, 2008) disk clearing by proto-planets photo-evaporation / gas dispersion (e.g.,Takeuchi et al. 2005; Ohashi & Momose submitted)
Wyatt et al. 2003
Dust Disk Mass evolution
Wyatt et al. 2003
Dust Disk Mass evolution
Gap ?
Why we shall need “survey” ?
Statistics to discuss ... disk evolution (how to proceed planet formation ?) diversity (related to diversity in planetary systems) “Highlights” = relatively short timescale ... dust growth / formation of planetesimals (e.g., Miyake & Nakagawa 1993, Wada et al. 2007, 2008) disk clearing by proto-planets photo-evaporation / gas dispersion (e.g.,Takeuchi et al. 2005; Ohashi & Momose submitted)
Initial Mass Distribution vs. Resultant Planetary Systems
※based on “Core-accretion” Scenario (Ida & Kokubo 2002)
- 1: Cores (= Protoplanets) can
grow above Mcrit 2: Core accretion timescale < gas disk lifetime Gas Planets Solar System type Earth-like planets only Distance from the star (AU)
Why we shall need “survey” ?
Statistics to discuss ... disk evolution (how to proceed planet formation ?) diversity (related to diversity in planetary systems) “Highlights” = relatively short timescale ... dust growth / formation of planetesimals (e.g., Miyake & Nakagawa 1993, Wada et al. 2007, 2008) disk clearing by proto-planets photo-evaporation / gas dispersion (e.g.,Takeuchi et al. 2005; Ohashi & Momose submitted)
Dust Growth
Wada et al. (2008) Dust Emissivity: β: 2 -> 1 as dust grows where νβ
Gap by Protoplanet
Why we shall need “survey” ?
Statistics to discuss ... disk evolution (how to proceed planet formation ?) diversity (related to diversity in planetary systems) “Highlights” = relatively short timescale ... dust growth / formation of planetesimals (e.g., Miyake & Nakagawa 1993, Wada et al. 2007, 2008) disk clearing by proto-planets photo-evaporation / gas dispersion (e.g.,Takeuchi et al. 2005; Ohashi & Momose submitted)
1-D Simple Model to examine survey strategy
内部構造:
- Axisymmetric, Physical parameters as a function of r
– Boundaries : rin, rout – Temperature: T(r) ∝ r−q. ∗ Source Function: Sν(r) = Bν(T(r)) – Surface Density: Σ(r) ∝ r−p. – Dust Emissivity: κν(r) ∝ νβ(r) ∗ Vertical Optical Depth: τν(r) = κν(r)Σ(r)
- Observer’s Parameters:
– Distance: d – Inclination; i
Beckwith et al. (1990)
Chiang & Goldreich (1997)
see also Dullemond et al. (2001)
Vertical Structure ?
Almost all the Submm - mm Continuum will come from interior part because
- f its lower opacity ...
→ “1-D” approx. is OK
Strategy
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
Best Frequency Bands for Detection Survey
Frequency [GHz] 100 1000 Relative Mass Sensitivity (1 at 110GHz) 1 10 T = 20 K = 50 K = 80 K –––– –––– ––––
β=1 case
Mean Temperature (Mass-weighted) ※ 23 K for the sample in Kitamura et al. (2002) ν = 345 or 675 GHz ?
円盤質量 で近似的に予想される を として, すべての場合,点源で検出として,ある時間での達成感度を とし,
- ∆Fν
κνBν( ¯ T)
が小さいほうが有利。
※ proportional to
¯ T ≡ rout
rin
2πrΣ(r)T(r)dr Md for the sample in Kitamura et al.
円盤質量 で近似的に予想される を として, すべての場合,点源で検出として,ある時間での達成感度を とし, が小さいほうが有利。
Point-Source Detection
Assuming ¯ T = 20 K and β = 1 ...
- ν = 345 GHz
∆Mdisk = 10−5M
- d
150 pc 2 tinteg 157 sec −1/2 . (3)
- ν = 675 GHz
∆Mdisk = 10−5M
- d
150 pc 2 tinteg 64 sec −1/2 . (4) c.f. MJupiter = 10−3M, MEarth = 3 × 10−6M.
Strategy
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
Strategy
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
“Typical” Disk Paramaters around CTTSs
- -- From Kitamura et al. (2002) ---
Σ(r) = 100
- r
1 AU −1 [g cm−2] rin = 0.03 [AU], rout = 300 [AU] (− → Md = 0.021 M)
- −
→
- T(r) = 200
- r
1 AU −0.6 [K] β = 1
d = 150 [pc] i = 60◦
for sensitivity calculation ...
← 0.1× Σ
- f the Hayashi Model
at r =1AU
- −
κν = 0.1 cm2 g−1 250µm λ β :
Frequency: 100 GHz 230 GHz 345 GHz 675 GHz 875 GHz –––– –––– –––– –––– –––– Radius [AU] 0.1 1.0 10.0 100 Emissivity 1 0.1 0.01
Radial Emissivity (opacity) Distribution
ǫ = 1 − exp(−τ)
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
3AU 10AU 30 AU 100AU 300AU r=1AU Brightness [erg/s/cm2/Hz/str] 10-10 10-12 10-14 10-16 10-18 Frequency [GHz] 100 1000
“Local” SEDs
代表的半径における輝度の周波数特性
- ν2 (RJ & τ 1) → ν2+β(τ 1) → flatter due to lower T
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
Effective Brightness Temperature Distribution
Frequency: 100 GHz 230 GHz 345 GHz 675 GHz 875 GHz –––– –––– –––– –––– –––– Radius [AU] 0.1 1.0 10.0 100 104 102 100 10-2 10-4 Effective Brightness Temperature [K]
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
k ≡ ν J(T) = hν k 1 exp hν
kT
- − 1
Frequency: 100 GHz 230 GHz 345 GHz 675 GHz 875 GHz –––– –––– –––– –––– –––– Radius [AU] 0.1 1.0 10.0 100 104 102 100 10-2 10-4 Effective Brightness Temperature [K]
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
k ≡ ν J(T) = hν k 1 exp hν
kT
- − 1
- Imaging at ν = 345 GHz ...
∆T = 21mK
- BW
16 GHz −1/2 θbeam 0.1
- −2
tinteg 120 min −1/2 (13)
Measurements of β
Radius [AU] 0.1 1.0 10.0 100 Power-Law Index (I ) 270/230 GHz 145/130 GHz 130/100 GHz –––– –––– ––––
2 3 4 1
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
τ ≪ 1, Rayleigh-Jeans approx. − → Fν ∝ ν2+β
- Simultaneous Measurements at ν = 130 & 145 GHz
– ◎ Minimize the effect of T(r) – ◎ Avoid systematic error (similar beam, noise level ...)
× ×
Frequency: 100 GHz 230 GHz 345 GHz 675 GHz 875 GHz –––– –––– –––– –––– –––– Radius [AU] 0.1 1.0 10.0 100 104 102 100 10-2 10-4 Effective Brightness Temperature [K]
d = 150 [pc] Σ(r) = 100
- r
1 AU −1 [g cm−2] T(r) = 200
- r
1 AU −0.6 [K] β = 1 rin = 0.03 [AU] rout = 300 [AU] Md = 0.021 M i = 60◦
k ≡ ν J(T) = hν k 1 exp hν
kT
- − 1
◎ ◎ × ×
- Brightness Temperature J(T) inside r < 100 AU
– J(T) ≥ 100 mK at ν = 145 GHz for Md ≥ 10−2M
∆T = 90mK BW 8 GHz −1/2 θbeam 0.1
- −2
tinteg 2400 sec −1/2 (12)
Frequency: 100 GHz 230 GHz 345 GHz 675 GHz 875 GHz –––– –––– –––– –––– –––– Radius [AU] 0.1 1.0 10.0 100 104 102 100 10-2 10-4 Effective Brightness Temperature [K]
k ≡ ν J(T) = hν k 1 exp hν
kT
- − 1
How to derive T (r) ?
- Cont. at Mid-Infrared ?
Vertical Temperature Gradient (mIR: surface layer with higher temperature)
Some Line tracing interior regions (CO isotope ?)
Complex radiative transfer
Submm Continuum (if τ >>1)
Chiang & Goldreich 1997
Strategy
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
Summary
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
Summary
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50
can do now !
e.g., AzTEC on ASTE Survey toward Cham/Lupus YSO catalogue (Disk Mass Function)
Summary
0.1" imaging at higher freq (=345 or 675GHz)
0.1
′′(
> 10−3M⊙) ∆T ∼ 20 mK Exposure Time ∼ 120 min. each Targets ∼ 30 − 50
0.01" Deep imaging at =345 or 675GHz
∆T ∼ 500 mK Exposure Time ∼ 9 hrs each Targets ∼ 5 − 10?
0.01" Snapshot at = 230 - 875 GHz for derivation of T(r) in the inner regions
∆T ∼ 5 K Exposure Time ∼
- 30min. each
Targets ∼ 30 × freq
Observations of Dust Disks in Star Forming Regions (d ~ 150 pc)
~ 1" ~ 0.1" ~ 0.01"
No Detection
Detection
Detection Survey at =345GHz
Detection Limit ∼ 0.11 mJy ∼ 10−5M⊙ Exposure Time ∼ 3 min. each Targets ∼ 100 − 200
Deep Detection Survey at =345 or 675GHz
Detection Limit ∼ 0.011 mJy ∼ 10−6M⊙ Exposure Time ∼ 5 hrs each Targets ∼ 10 − 20
- index measurement in
Band 4 (=130/145GHz)
0.1
′′(
> 10−2M⊙)
- r 0.3
′′(
> 10−3M⊙) ∆T ∼ 90 mK Exposure Time ∼ 40 min. each Targets ∼ 30 − 50