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This image from the Hubble Space Telescope shows the Large Magellanic Cloud nebula N44, which is home to a large star cluster. Credit:ESA/Hubble & NASA, D. Gouliermis; CC BY 4.0
Figure 1: Several different formulations for the IMF. Astronomers have found that the Milky Way IMF seems to follow either a broken power law (Kroupa), or a log-normal (Chabrier) distribution. Credit:JohannesBuchner; CC BY-SA 4.0
A fundamental concept in astronomy is the stellar initial mass function (IMF). The IMF describes the number of stars of each mass that form from a single birth cloud. If the IMF has a negative slope, it means most stars are low in mass; if it has a positive slope, it means most stars are high in mass. Figure 1 shows some examples of commonly used IMFs, all of which have a negative slope, since we see far more low-mass stars than high-mass stars in the Milky Way. You may notice that several models deviate from a straight line at about 0.5 solar mass. This point, known as the turnover or critical mass, is crucial in determining the exact shape of the IMF.
For a relatively simple concept, the IMF is shaped by incredibly complicated underlying physical mechanisms. Things like turbulence, magnetic fields, and chemical enrichment all play a role in shaping the observed IMF. Additionally, the IMF is a pretty fundamental quantity. An enormous amount of astronomy research relies on assumptions made about the IMF. For example, since most stars are low in mass, and low-mass stars are dimmer, astronomers use the IMF to convert the amount of light in a galaxy to the number of stars; if there are more or fewer low-mass stars than we expect, our measurements will be wrong.
A big question surrounding the IMF is whether or not it’s universal. In the Milky Way, astronomers have been able to measure the IMF accurately, and they have found that it seems to be the same regardless of which bunch of stars we use to measure it.1 However, we know that galaxies in the early universe were very different compared to today. Things get tricky when you acknowledge that most measurements made of early-universe galaxies rely on modeling tools that are entirely reliant on assuming an IMF. This gnarly little detail makes measuring the IMF in the early universe especially valuable to astronomers.
What Makes Ultra-Faint Dwarfs So Special?
Today’s authors attempt to measure the early-universe IMF using a local relic, an ultra-faint dwarf galaxy (UFD). You might describe UFDs as “incredibly funky little galaxies.” They’re much less massive than the Milky Way, with about 10,000 times less stellar mass. What stars they do have tend to be very old and metal poor. The nature of UFDs has led many astronomers to think of them as fossils: relatively untouched galaxies formed in the early universe. Since we think UFDs are fossils of earlier galaxies, measuring the IMF in a UFD tells us whether the IMF was the same in the early universe as it is today. The authors focus on Boötes I, a relatively luminous UFD orbiting the Milky Way. Figure 2 shows Boötes I as seen by the Sloan Digital Sky Survey.
Figure 2: Boötes I as seen by the Sloan Digital Sky Survey. Because they’re so diffuse, UFDs look less like galaxies and more like groups of stars. Credit:Vasily Belokurov – SDSS-II Collaboration
The IMF in Boötes I
Measuring the IMF can get tricky — it’s typically pretty difficult to measure the mass of each individual star in a galaxy. Thankfully, Boötes I is close enough that we can do exactly that! Using JWST’s NIRCam instrument, today’s authors obtain imaging of Boötes I that is sensitive enough to extract roughly 10,000 stars belonging to the galaxy.
To measure the IMF from the observed population of stars, the authors use a modified version of Starwave, a Bayesian inference tool. In short, the tool takes in some assumptions about the population of stars in the galaxy, then generates many potential color–magnitude diagrams for various parameter selections. You can then assess how well each simulated color–magnitude diagram fits the observed data, thus determining likely parameters for the stellar population. The authors apply their tool for three different IMF models, testing how close the IMF in Boötes I is to that of the Milky Way. This allows them to determine how well the IMF compares to that of the Milky Way, which is typically thought of as a broken power law or log-normal distribution. If the IMF in Boötes I aligns with the Milky Way’s IMF, we’ll have a solid piece of evidence for a truly invariant IMF across cosmic time, allowing astronomers to rest easy knowing our modeling efforts haven’t been bunk this whole time.
So… What Did We Learn?
The authors find that a single power law can be ruled out to a good degree of confidence. This is good, as Milky Way studies show undeniable evidence of a turnover in the distribution. The broken power law and log-normal models both fit the observed data relatively well, aligning well with Milky Way–derived IMFs. All in all, they find solid evidence for an invariant IMF in the early universe.
However, they are unable to say with absolute certainty that the IMF is invariant. Given that their data are nearly perfect (that is, it’s pretty much impossible to get better data for Boötes I), the authors emphasize that a larger sample of UFD IMFs is needed to truly rule out an invariant IMF, but we’re certainly taking steps in the right direction! As the age-old saying goes, “more data are needed!”
Editor’s Note:The Milky Way IMF may vary from star cluster to star cluster; as described in this AAS Nova highlight from 8 July 2026, recent research using data from the Gaia spacecraft has found evidence for IMF variation in our galaxy.↩︎
About the author, Drew Lapeer:
Drew is a first-year PhD student at the University of Massachusetts Amherst. They are broadly interested in the evolution of galaxies, with a focus on the impact of cosmic feedback on the galactic ecosystem. In their free time, they enjoy reading, rock climbing, hiking, and baking!
An international team led by researchers from Tohoku University has
found an extremely faint dwarf satellite galaxy of the Milky Way. The
team's discovery is part of the ongoing Subaru Strategic Survey using
Hyper Suprime-Cam. The satellite, named Virgo I, lies in the direction
of the constellation Virgo. At the absolute magnitude of -0.8 in the
optical waveband (Note),
it may well be the faintest satellite galaxy yet found. Its discovery
suggests the presence of a large number of yet-undetected dwarf
satellites in the halo of the Milky Way and provides important insights
into galaxy formation through hierarchical assembly of dark matter.
Figure 1: The position of Virgo I in the constellation of Virgo (left). The right panel shows a density map of Virgo I's member stars in a 0.1 deg x 0.1 deg area, based on the stars located inside the green zone in the color-magnitude diagram of Virgo I shown in Figure 4. The color range from blue -> white -> yellow -> red indicates increasing density. (Credit: Tohoku University/National Astronomical Observation of Japan)
Movie:
An animation showing locations of Milky Way Galaxy's satellite
galaxies, featuring the newly discovered Virgo I. An image captured from
the animation is shown here.
The computer graphics was created using Mitaka, a four-dimensional
digital universe viewer. In the image from the Subaru Telescope, Green
circles denote the member candidate stars that might belong to Virgo I.
(Credit: NAOJ)
Currently, some 50 satellite galaxies to the Milky Way have been identified. About 40 of them are faint and diffuse and belong to the category of so-called "dwarf spheroidal galaxies" (Figure 2). Many recently discovered dwarf galaxies, especially those seen in systematic photometric surveys such as the Sloan Digital Sky Survey (SDSS) and the Dark Energy Survey (DES) are very faint with absolute luminosity in the optical waveband below -8 magnitude. These are so-called "ultra-faint dwarf galaxies". However, previous searches made use of telescopes with a diameter of 2.5 to 4 meters, so only satellites relatively close to the Sun or those with higher magnitudes were identified. Those that are more distant or faint ones in the halo of the Milky Way are yet to be detected (Figure 3).
Figure 2: Satellite galaxies associated with the Milky Way Galaxy. Squares are Large and Small Magellanic Clouds and circles are dwarf spheroidal galaxies.
Figure 3: False-color dwarf galaxy images taken with
Subaru Telescope. Left: Leo II (V-band absolute magnitude MV = -11.9
mag). Middle: Boötes I (MV = -6.3 mag), where both images are taken with
Suprime Cam. Right: HSC image of Virgo I (MV = -0.8 mag). Ultra-faint
dwarf galaxies (Boötes I and Virgo I) are hard to detect from these
images.
The combination of the large aperture of 8.2-meter Subaru Telescope and
the large field-of-view Hyper Suprime-Cam (HSC) instrument is very
powerful in this study. It enables an efficient search for very faint
dwarf satellites over large areas of the sky. The first step in
searching out a new dwarf galaxy is to identify an over density of stars
in the sky, using photometric data. Next is to assess that the over
dense appearance is not due to line-of-sight or accidental
juxtapositions of unrelated dense fields, but is really a stellar
system. The standard method for doing this is to look for a
characteristic distribution of stars in the color-magnitude diagram
(comparable to the Hertzsprung-Russell diagram (middle and left panels
of Figure 4)). Stars in a general field shows no particular patterns in this diagram (right panel of Figure 4).
Figure 4: Stars in the color-magnitude diagram. Old
stellar populations show a characteristic distribution along the curve
seen in the diagram. From left to right: Boötes I, Segue I, Virgo I, and
a general field outside Virgo I. The spatial distribution of the stars,
which are located inside the green band for Virgo I, is shown in the
right panel of Figure 1. Note that stars in a general field outside Virgo I (right panel) show no characteristic feature.
Finding Virgo I
Daisuke Homma, a graduate student at Tohoku University, found Virgo I under the guidance of his advisor, Masashi Chiba, and their international collaborators. "We have carefully examined the early data of the Subaru Strategic Survey with HSC and found an apparent over density of stars in Virgo with very high statistical significance, showing a characteristic pattern of an ancient stellar system in the color-magnitude diagram," he said. "Surprisingly, this is one of the faintest satellites, with absolute magnitude of -0.8 in the optical waveband. This is indeed a galaxy, because it is spatially extended with a radius of 124 light years – systematically larger than a globular cluster with comparable luminosity."
The faintest dwarf satellites identified so far was Segue I, discovered by SDSS (-1.5 mag) and Cetus II in DES (0.0 mag). Cetus II is yet to be confirmed, as it is too compact as a galaxy. Virgo I may ultimately turn out to be the faintest one ever discovered. It lies at a distance of 280,000 light years from the Sun, and such a remote galaxy with faint brightness has not been identified in previous surveys. It is beyond the reach of SDSS, which has previously surveyed the same area in the direction of the constellation Virgo (Figure 5).
Figure 5: The relation between the distance from the
Sun and absolute magnitude in optical waveband for Milky Way satellites
discovered so far. Virgo I is extremely faint and distant from the Sun
and is beyond the reach of SDSS. Except for Virgo I, DES mostly
discovers those outside SDSS's limit.
According to Chiba, the leader of this search project, the discovery
has profound implications. "This discovery implies hundreds of faint
dwarf satellites waiting to be discovered in the halo of the Milky Way,"
he said. "How many satellites are indeed there and what properties they
have, will give us an important clue of understanding how the Milky Way
formed and how dark matter contributed to it."
Using HSC to Trace Galaxy Formation
Formation of galaxies like the Milky Way is thought to proceed
through the hierarchical assembly of dark matter, forming dark halos,
and through the subsequent infall of gas and star formation affected by
gravity. Standard models of galaxy formation in the context of the
so-called cold dark matter (CDM) theory predict the presence of hundreds
of small dark halos orbiting in a Milky Way-sized dark halo and a
comparable number of luminous satellite companions. However, only tens
of satellites have ever been identified. This falls well short of a
theoretical predicted number, which is part of the so-called "missing
satellite problem". Astronomers may need to consider other types of dark
matter than CDM or to invoke baryonic physics suppressing galaxy
formation to explain the shortfall in the number of satellites. Another
possibility is that they have seen only a fraction of all the satellites
associated with the Milky Way due to various observational biases. The
issue remains unsolved.
One of the motivations for the Subaru Strategic Survey using HSC is
to do increase observations in the search for Milky Way satellites. The
early data from this survey is what led to the discovery of Virgo I.
This program will continue to explore much wider areas of the sky and is
expected to find more satellites like Virgo I. These tiny companions to
be discovered in the near future may tell us much more about history of
the Milky Way's formation.
The team's finding is published in the Astrophysical Journal in its
November 14, 2016 on-line version and November 20, 2016 in the printed
version, Volume 832, Number 1. The title of the paper is "A New Milky
Way Satellite Discovered in the Subaru/Hyper Suprime-Cam Survey" by D.
Homma et al., which is also available in preprint from
arXiv:1609.04346v2. This work is supported by a JSPS Grant-in-Aid for
Scientific Research (B) (JP 25287062) and a MEXT Grant-in-Aid for
Scientific Research on Innovative Areas (JP15H05889, JP16H01086).
Research Team:
Daisuke Homma (Tohoku University, Japan), Masashi Chiba (Tohoku
University, Japan), Sakurako Okamoto (Shanghai Astronomical Observatory,
China), Yutaka Komiyama (National Astronomical Observatory of Japan
(NAOJ), Japan), Masayuki Tanaka (NAOJ, Japan), Mikito Tanaka (Tohoku
University, Japan),
Miho N. Ishigaki (Kavli Institute for the Physics and Mathematics of the
Universe (Kavli IPMU, WPI), University of Tokyo, Japan), Masayuki
Akiyama (Tohoku University, Japan), Nobuo Arimoto (Subaru Telescope,
NAOJ, USA), Jose A, Garmilla (Princeton University, USA), Robert H.
Lupton (Princeton University, USA), Michael A. Strauss (Princeton
University, USA), Hisanori Furusawa (NAOJ, Japan), Satoshi Miyazaki
(NAOJ, Japan), Hitoshi Murayama (Kavli IPMU, WPI, University of Tokyo,
Japan), Atsushi J. Nishizawa (Nagoya University, Japan), Masahiro Takada
(Kavli IPMU, WPI, University of Tokyo, Japan), Tomonori Usuda (NAOJ,
Japan), Shiang-Yu Wang (Institute of Astronomy and Astrophysics,
Academia Sinica, Taiwan)
Note:
For Comparison, the abolute magnitude in visible waveband
for M31 (Andromeda Galaxy), Large Magellanic Cloud, and Small Magellanic
Cloud are -21.77, -18.35 and -17.02, respectively, according to
NASA/IPAC Extragalactic Database (http://ned.ipac.caltech.edu).