For interactions to push to $\sim30$ AU (the largest disk),
$$ r= \sigma^{1/2} \sim 30 \mathrm{AU}
\left(\frac{t}{\color{red}{15 \mathrm{Myr}}}\right)^{-1/2}
\color{darkgreen}{\left(\frac{n}{10^6 \mathrm{pc}^{-3}}\right)^{-1/2}}
\color{darkblue}{\left(\frac{v_{disp}}{3 \mathrm{km~s}^{-1}}\right)^{-1/2}}$$
$\color{red}{15 \mathrm{Myr}}$ is ~100x too long.
Can squeeze this by a bit b/c disk is smaller than $r$; Breslau+ 2014: $R_{disc} \sim 0.28 r_{peri} \left(\frac{M_1}{M_2}\right)^{0.32}$
A different calculation of the same (bonus slide):
Wijnen+2016
and 2017a,
b model: face-on accretion brings in low-$j$ material,
ram pressure strips loosely-bound material.
Bottom-right: not quite as dense as OMC, still too-big disks, but
not a bad match.
The BN/I/x interaction is the poster case of accretion ended by dynamical interaction.
Summary and Prospectives
Disks are smaller and more massive in the OMC
and generally in more gas-rich regions?
Stellar dynamics are important to disk structure, but gas-disk interactions may be more important
Dynamics in protocluster regions matter
This cycle marks a good time to start measuring proper motions with ALMA!
Multiplicity and offset hot cores are a sign of dynamical interactions (also good to examine with ALMA long baselines)
We need JWST to measure the IR from protostars even in Orion
Other speculations
Do the disks start small and grow later?
Viscous spreading could result in older disks being larger
It is possible that only the dust disks are smaller, but the gas disks are still big.
However, all disk radii (Orion & elsewhere)
are computed based on dust mass, and there's (presently) no reason to think
different environments would preferentially push the dust in.
Maybe the disks are intrinsically smaller in Orion (Caselli, Kuiper)
If they're just young, still accreting, maybe they have not grown larger yet
(inconsistent w/Tobin results)
The canonical hot core isn't
(e.g., Zapata+ 2011)
Disk-bearing stars on Gemini
OMC1 is denser than the ONC
N*OMC(Otter+ 2021) = 1.6 x 105 pc-3
N*ONC(Otter+ 2021) = 0.6 x 105 pc-3
N*ONC(Hillenbrand+ 1998) = 0.2 x 105 pc-3
Many new disks in the OMC
Otter+, resubmitted
FOV: 0.07 pc (16000 AU)
72 YSOs
One "hot core"
Disk Gallery
Orion Source I
a disk around a 15 M⊙ YSO
Material with vesc < vejected was lost.
vejected = 11.5 km/s = vesc(200 AU)
Disk is oriented along the direction of motion: probably re-oriented in ejection