Today's post comes from my collaborator and current University of Arizona postdoctoral scholar Dr Huan Meng. Our work is featured in a NASA/JPL press release today that is getting coverage in the news.
I (Peter Plavchan) planned and proposed these observations back in 2009 with the Spitzer Space Telescope. The Spitzer Space Telescope team accepted our proposal, and made the observations in April 2010 simultaneously with a coordinated ground-based effort with four large telescopes in the Northern and Southern Hemispheres. I remember the observing runs vividly, because I was using a telescope at Kitt Peak in Arizona along with Dr. Kevin Covey, and after collecting some data we were beset by a "major" snow fall atop the mountain:

The ground-based effort was monumental - one telescope in South America was a queue based telescope, but the other two were used by a colleague in Mexico, and colleagues who had traveled to a second telescope in South America just to get this data. We were fortunate that on one night when one telescope went down we had another telescope covering the gap in data, and we all communicated online between the various telescopes to check in and see how things were going.
The project generated so much data for the Spitzer Space Telescope that it filled up the storage space onboard the spacecraft. The Spitzer Space Telescope scheduling team, for which I am forever grateful, had to space out the campaigns every-other-night instead of every night. On the days inbetween our observations, the Deep Space Network had to communicate with the Spitzer Space Telescope and download our data to make room for the next night of observations.
In 2013, Huan Meng joined me from the University of Arizona for a six month visiting graduate student fellowship at the NASA Exoplanet Science Institute where we finished analyzing the data. After a pause to work on other projects, in 2015 Huan wrote it up and submitted it for publication. While the publication of our paper this year ended one 7 year long journey in science, it opened a whole new method for studying the inner accretion environments of young stars!
Read on for Huan's story:
Most, if not all, young stars are born with disks of gas (mostly hydrogen and helium) and dust (small solid smoke-like particles mostly made of silicates and carbon). In
astronomy, this disk is called a "proto-planetary disk" because at later stages
of evolution, material in the disk will aggregate, accrete, and give rise to a planetary system like the Solar System.
However,
the architecture of our own Solar System may not be representative of all
planetary systems. The more we learned about exoplanetary systems, the
more diverse we found they are. For example, a well-known population of
planets that is absent in the Solar Sytems is "hot Jupiters." The Solar
System has two gas giant planets, Jupiter and Saturn, both fairly far
from the Sun. Jupiter's orbit is 5.2 Astronomical Units in radius (1 AU
is the average distance between the Sun and the Earth), and Saturn's is
9.5 AU. By contrast, Jupiter's hot cousins in many exoplanetary systems are
merely a fraction of an AU from their central stars and are very hot in
temperature. Did these "hot Jupiters" form in-situ close to the stars?
Or did they form further out and migrate inward ever since? And did that happen during or after the protoplanetary disk existed? Because the
structure and evolution of the protoplanetary disk sets the initial
conditions for planet formation, a crucial piece of evidence in
this debate is whether there is planet-building material so close to the
star.
It is long known from theories and spectroscopic
observations that a protoplanetary disk cannot reach the photosphere, or
"surface," of its star — The disk always has a hole in the center. Two
major mechanisms can make the hole. On the one hand, gas in the inner
region of protoplanetary disk is ionized and interacts with the stellar
magnetosphere. If getting too close, it will be diverted off the disk
plane along the magnetic field lines and accreted onto the star near the
stellar magnetic poles. This is also how young stars accrete mass.
An important reference for this so-called "magnetospheric truncation" of a disk is the
co-rotation radius, at which the orbital period of circumstellar
material matches the rotation period of the star. For mass accretion
onto the star to proceed, the disk inner edge has to stay interior to
the co-rotation radius and the magnetospheric truncation distance also has
to be smaller. On the other hand, if solid dust particles are placed
inside of a distance from the star at which their temperatures would
surpass the sublimation limit of the material, the solid particles will
get too hot and will be vaporized. This mechanism can also truncate the disk at the
"sublimation radius," which is typically outside of the co-rotation
radius. These different disk truncation radii provide a diagnostic: by
measuring where protoplanetary disks get truncated and comparing with
the theoretical expectations, we may tell which mechanism is at work in
which disk.

So,
we should just measure the sizes of the inner disk holes, right?
Unfortunately, this is not as simple as laying a ruler on top of a
photograph. The sizes of the inner disk holes are expected to be small.
For a solar-mass young star (called a "T Tauri" star) in the nearest
star-forming regions, the expected disk truncation radii are hundreds of
millions of times smaller than their distances to us. They are too
small to be directly resolved with the current astronomical technology.
Over the past decade, the only technique that can systematically
explore the inner regions of protoplanetary disks is near-infrared
interferometry, for which an array of designated telescopes observes the
same object, combining signals to reconstruct a
partial image of the object with higher spatial resolution. To obtain a
measurement from the interferometric data, people have to introduce some
assumptions about the disk geometry that are not necessarily justified.
Such interferometric measurements have suggested that some
protoplanetary disks around the most massive young stars, called "Herbig
Be" stars, are truncated by magnetospheric accretion; disks around
intermediate-mass "Herbig Ae" stars can be well described by a directly
heated, "puffed-up" inner rim truncated at distances that corresponds to
temperatures between 1500 and 2000 Kelvin (2200 to 3100 degree
Fahrenheit), a typical range of silicate dust grain sublimation temperatures.
However, the trend does not extrapolate down to the regime of solar-mass T
Tauri stars, many of which appear to have larger-than-expected inner
disk cavities. Oversized inner disk holes around T Tauri stars have
raised questions about the roles of unrecognized physical processes in
addition to the two major mechanisms considered above. And there are also possible
problems with the model assumptions upon which the interferometric
measurements are made.

Our
work is a different and
novel approach to this issue. Since T Tauri stars are known to be
variable stars, we can simultaneously monitor the changing stellar
emission at a shorter wavelength and the disk response at a longer
wavelength in the infrared. Given the constant and limited speed of
light, it takes time for the variable stellar emission to travel to the
disk and trigger a response, just like "light echoes." Therefore, the
long-wavelength disk light curve (echoes) should lag behind the
short-wavelength stellar counterpart (direct light) by the amount of the
additional light-travel time
1. If such a time lag is detected, we can
compute the corresponding light-travel distance between the central star
and its inner disk rim. Compared with interferometry, such measurements
are relatively independent of model assumptions and should be more
robust.
The basic idea of the method, called "reverberation
mapping", has been used in extragalactic astronomy for over 20 years to measure the
distance between supermassive blackholes in active galactic nuclei and
their surrounding moleculuar clouds ("broad line regions"). To carry out the experiment for the
first time around stars, we pre-selected a field in the rho Ophiuchi
cloud complex, one of the nearest star-forming regions to the Solar
System, and coordinated four ground-based telescopes to observe the area
simultaneously with NASA's Spitzer Space Telescope on three nights.
The ground-based telescopes, in Arizona, Chile, and Mexico, were used to
monitor the stars in the near-infrared H and K wavebands (1.6 and 2.2
micron), while Spitzer worked at 4.5 micron wavelength to keep an eye on
the disks. To validate any time comparison, we had to first correct the
light-travel time on our receiving end, especially between the Spitzer
Space Telescope and the Earth. As a result, 27 young stars were observed
in the common field of view. One of the T Tauri stars, called YLW 16B,
was found to vary significantly in brightness rapidly and have a time lag. This is the first detection of
light echoes on the stellar scale!
Detailed analysis of the data
revealed that the variable signals of YLW 16B in H and K bands were
synchronized all the time, consistent with both being from the accreting
gas right above the stellar photosphere. The signals at 4.5 micron
lagged behind both H and K by 74.5 +/- 3.2 seconds. Interestingly, YLW
16B is a known edge-on system because of its mid-infrared molecular
spectrum. Taking into account the viewing geometry, our reverberation
measurement of the radius of its inner disk hole was 0.084 +/- 0.004 AU.
Considering the simplifications we had used to convert the time lag to a
single radius, we estimated that the total error is likely larger than
the nominal one by a factor of several, on the order of 0.01 AU.

We
can place our measurement in the context of previous interferometric
results. See our data point in red in the figure above compared to previous work. The reverberation inner radius of YLW 16B, a solar-mass T Tauri
star, is consistent with a "puffed-up" inner disk rim, in the presence
of backwarming, truncated at 1500 Kelvin, a typical dust sublimation
temperature. This is in line with the interferometric disk sizes
measured around intermediate-mass Herbig Ae stars. But unlike the old
interferometric measurements of most other T Tauri stars, YLW 16B does
not have an oversized inner disk hole and does not require any
additional mechanism. For the planet formation question asked earlier in
the article, now we have settled one more piece of the puzzle.
---
Footnote
1. It may take time for the disk to respond to changing starlight.
Reflection is instantaneous once allowing for light-travel time; thermal
response time of isolated and exposed dust particles should be well
under a second given their tiny thermal capacities, much faster than the
time resolution we can achieve in real observations; radiative transfer
becomes important in the bulk disk and should take days to take effect,
but it has no influence on the short timescale of our interest. Hence,
the disk response time can be safely neglected for our purpose.