OPEN CLUSTERS AND GLOBULAR CLUSTERS

By David Lengyel

Go outside on a clear, moonless night and look at the stars all around you. They seem to be more or less randomly placed against the celestial sphere. However, you may notice a few closely-packed groupings of stars which stand out even to the unaided eye. In northern hemisphere Fall and Winter, you can easily spot the Pleiades and Hyades star clusters in the constellation of Taurus. Here, the stars lie very close to one another and if you use binoculars or a small telescope, dozens of stars are seen in a small area of sky. If you then locate the constellation Hercules, and look within the asterism known as the Keystone using binoculars or a small telescope, you’ll spot a fuzzy, roundish group of stars known as the Hercules cluster, or M-13, the 13th object that Charles Messier noted to avoid when searching for new comets. But, instead of following Messier’s advice and avoiding this stange fuzzball, I linger here often, as I do when viewing the Pleiades or Hyades. For these are wonderful examples of star clusters, groupings of stars within our galaxy which certainly merit a good, long look.

It turns out that star clusters come in two varieties, open clusters sometimes called galactic clusters, and globular clusters, whose name strongly suggests their shape. The shapes of open clusters vary widely. They are basically loose collections of stars that seem to be randomly placed within the cluster. Their common names can be quite curious, as astronomers have allowed themselves to see various patterns in their arrangements. We have the Beehive in Cancer, the Wild Duck cluster in Scutum and the Double Cluster in Perseus. Globular clusters, though they vary in apparent brightness and relative size, all are spherically shaped and so lack the colorful monikers of their more scattered cousins.

Open clusters and globular clusters are quite different in many other ways. There are a little over 1000 known open clusters. Astronomers have determined that they are found chiefly within the flattened disk of our galaxy, among its spiral arms (hence the name “galactic clusters) and the stars in open clusters seem to be representative of the stars found in that part of our galaxy. These clusters usually contain no more than a few hundred stars, and some as few as 20. The true number of open clusters in our galaxy may indeed be much higher, since their location in the plane of the galaxy means that many of them are obscured from our view by interstellar dust and stars along the galactic plane. Globular clusters are monsters by comparison. They contain somewhere between ten thousand and a million stars. They are not found within our galaxy’s disk, but rather they mostly occupy a region roughly spherical in shape surrounding the center of the galaxy. This spherical “halo” extends in three dimensions from near the galactic center out to a distance of more than 100 000 light years. Their distribution is more concentrated toward the center of the galaxy. The 150 known globular clusters are distributed among only 43 of the 88 constellations in our sky. Their location in this spherical galactice halo causes their distribution to be concentrated around the galactic center from our point of view or roughly centered around the constellation of Sagittarius.

When we observe either type of cluster, we are seeing stars that are relatively the same distance from us. For example, the Pleiades cluster is found about 400 light years from Earth. Its estimated diameter is ten light years, which means that all of the stars in the cluster are within 2.5% of being the same distance from us, which is a reasonable margin of error. It is also reasonable to assume that all of the stars in a cluster formed at about the same time, since the process of the formation of the stars in the cluster requires much less time than the overall lifespan of the cluster as a whole. It is also reasonable to assume that since the stars in a cluster are relatively close together that they formed out of pretty much the same ingredients.

The stars in an open cluster have about the same chemical distribution as our Sun. They contain about 90% hydrogen, about 10% helium and less than 1% heavier elements (“metals”, in astronomical terms). These stars are termed Population I stars. Globular clusters contain stars which are different. These stars, termed Population II stars contain very little amounts of elements heavier than helium. These “metal poor” stars are all older than the relatively “metal rich” stars of Population I (in this case II comes before I). The Population II stars are indeed more primordial in nature, having formed out of the original stuff of the galaxy. Population I stars formed, at least in part, out of the debris of those star which came before and have since ended their lives, often in great drama and fireworks. It is in the last stages of the life of an old star when the heavier elements are able to form.

The similarities in age, distance from Earth and chemical composition make star clusters of both types very important to astronomers. But stars in a given cluster are not identical. When they formed, they all had their own unique mass. A few were really big, more were of the midsize variety, and many,many more were small, at least as stars go. Astronomers like to look at all of the stars in a given cluster as a kind of closed system. That way, it is possible to see differences among clusters. One way to look at a collection of stars is to first ascertain information concerning the individual stars’ spectral type and absolute magnitude, that is, how bright it would appear from a distance of ten parsecs from Earth. Spectral type is not difficult to obtain since astronomers have been doing that for well over a hundred years. Absolute magnitude is a bit more sticky. In order to determine this, the star’s distance must be known to a reasonable degree. In the case of open clusters, an estimate of a star’s distance can be made, if it is a main sequence star, by knowing its spectral type, since main sequence stars of a given spectral type have similar absolute magnitudes. In the case of globular clusters, astronomers use special variable stars called RR Lyrae variables. These stars, which have a unique light curve, all have absolute magnitudes of about 0.6. So, if an RR Lyrae variable is found within a cluster, then its absolute magnitude of 0.6 is compared to its apparent magnitude and the distance can be computed using the inverse square law.

Once data about absolute magnitude and spectral type are collected for many stars in the same cluster, a useful chart can be produced called the Hertzsprung-Russell diagram. The often-used H-R diagram, which plots spectal type on the horizontal axis and absolute magnitude on the vertical axis, shows most stars falling on sort of “S” curve diagonally from the upper left to the lower right. This is the main sequence. Most stars would fall on the main sequence when a large sample of stars is used, generally from the same region of space. In considering the stars on the main sequence, the ones on the lower right are the smaller, cooler stars and those on the upper left are the larger, hotter ones. Small, cool, red stars tend to use up their hydrogen more slowly and therefore last a lot longer. Big, hot, blue stars tend to live fast and die young. They fuse their hydrogen at a rapid pace.

The H-R diagrams produced from many different open clusters can be compared with interesting results. What is found is that some open clusters, such as NGC 2362, still have most of their stellar population on the main sequence. These cluster cannot be too old. Other open clusters, like M-44 (the Beehive) seem to have a main sequence that only goes about halfway to the upper left of the chart. In other words, the main sequence seems to end with stars of spectral type A and hotter. What this means is that the cluster is older. It has been around long enough for the hotter stars to have evolved off of the main sequence. Some open clusters, like NGC 188 are even older, with no stars hotter than spectral type G on the main sequence any more. So, by comparing H-R diagrams of open clusters, their individual ages can be estimated.

Globular clusters are another story. All globular cluster show the same “shape” H-R diagram. What does this mean? It indicates that they are all approximately the same age, and they are all very old, with the entire upper end of the main sequence gone. The H-R diagrams also show prominent horizontal bands, indicative of stars which have evolved beyond the giant or supergiant stage. These truly ancient clusters are estimated to be between 12 and 16 billion years old, which would put their formation in the earliest days of the galaxy itself.

Our Sun itself probably formed as part of an open cluster long ago. Quite possibly, that cluster was what we now call the Ursa Major cluster, which is the closest star cluster to us at the present time. Our Sun and perhaps a hundred other stars, including Sirius, may be part of a diffuse outer shell of the Ursa Major Cluster, or maybe those stars, having escaped the cluster, are still moving parallel with it without actually being a part of it. But what if we lived on a planet revolving around a star that was part of a globular cluster, if that was possible? Our night sky would be a lot brighter, with perhaps a thousand stars as bright as the planet Venus, though they would still appear as points of light. Even from the darkest desert, the sky would appear as bright as a fully moonlit night does to us now.

Open clusters and globular clusters are indeed quite different. The rather shapeless open clusters contain hundreds of mainly young stars, they are found in the plane of our galaxy and they are all of different ages. Globular clusters are mostly spherical, with up to a million stars, all very old and they seem to be doing their own thing as they move around the galaxy’s center without regard to the motion of the spiral arms. So, take a look at the Pleiades and then a look at M-13. Think about how these clusters of stars are so different in so many ways.


References

Abell, George O., Morrison, David, and Wolff, Sidney, 1987, Exploration of the Universe, Saunders College Publishing, Philiadelphia

Zeilik, Michael, 1985,Astronomy, the Evolving Universe, Harper and Row, Cambridge

Pasachoff, Jay M., 1998, Astronomy: From the Earth to the Universe , Saunder College Publishing, Philadelphia

SEDS website, 2001, Globular Star Clusters, http://www.seds.org/messier/glob.html

SEDS website, 1998, Open Star Clusters, http://www.seds.org/messier/glob.html

Ottewell, Guy, 1988, The Astonomical Companion, Astronomical Workshop, Greenville, SC.