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Globular cluster

[[Image:M80.jpg|thumb|right|300px|The {{Globular Cluster M80}} in the constellation {{Scorpius}} is located about 28,000 {{light year}}s from the Sun and contains hundreds of thousands of stars. The {{Sagittarius Dwarf Elliptical Galaxy|Sagittarius Dwarf}} and {{Canis Major Dwarf Galaxy|Canis Major Dwarf}} galaxies appear to be in the process of donating their associated globular clusters to the Milky Way (such as {{Palomar 12}}) demonstrating how many of this galaxy's globular clusters were acquired in the past.

Observation history

Early Globular Cluster Discoveries
Cluster nameDiscovered by!Year
{{Globular Cluster M22|M22}}Abraham Ihle1665
{{Omega Centauri|ω Cen}}{{Edmond Halley}}1677
{{Messier 5|M5}}{{Gottfried Kirch}}1702
{{Messier 13|M13}}Edmond Halley1714
{{Globular Cluster M71|M71}}{{Philippe Loys de Chéseaux}}1745
{{Globular Cluster M4|M4}}Philippe Loys de Chéseaux1746
{{Messier 15|M15}}Jean-Dominique Maraldi1746
{{Globular Cluster M2|M2}}Jean-Dominique Maraldi1746
The first globular cluster discovered was {{Globular Cluster M22|M22}} in 1665 by Abraham Ihle. However, due to the small {{aperture}} of early {{telescope}}s, individual stars within a globular cluster were not {{Angular resolution|resolved}} until {{Charles Messier}} observed {{Globular Cluster M4|M4}}. The first eight globular clusters discovered are shown in the table. Subsequently, Abbe Lacaille would list {{47 Tucanae|NGC 104}}, {{NGC 4833}}, {{Globular Cluster M55|M55}}, {{Globular Cluster M69|M69}}, and {{NGC 6397}} in his 1751â€"52 catalogue. (The M before a number refers to the catalogue of Charles Messier, while NGC is from the {{New General Catalogue}} by {{John Dreyer}}.)

{{William Herschel}} began a survey program in 1782 using larger telescopes and was able to resolve the stars in all 33 of the known globular clusters. In addition he found 37 additional clusters. In Herschel's 1789 catalog of deep sky objects, his second such, he became the first to use the name globular cluster as their description. (The word globular is derived from the {{Latin language|Latin}} globus and the {{English language|English}} suffix "-ular", which means to have the shape of a globe or globule.)

The number of globular clusters discovered continued to increase, reaching 83 in 1915, 93 in 1930 and 97 by 1947. There are now a total of 151 globular clusters that have been discovered in the {{Milky Way}} galaxy, out of an estimated total of 180 ± 20. (Some undiscovered globularclusters may be hidden behind the gas and dust of the Milky Way.)

Beginning in 1914, {{Harlow Shapley}} had begun a series of studies of globular clusters that were published in about 40 scientific papers. He examined the {{cepheid variable}}s in the clusters and would use their periodâ€"luminosity relationship for distance estimates.

{{Image:Messier75.jpg|left|thumb|150px|{{Globular Cluster M75|M75}} is a highly-concentrated, Class I globular cluster.]]Of the globular clusters within our Milky Way, the majority are found in the vicinity of the galactic core, and the large majority lie on the side of the celestial sky centered on the core. In 1918 this strongly asymmetrical distribution was used by Harlow Shapley to make a determination of the overall dimensions of the galaxy. By assuming a roughly spherical distribution of globular clusters around the galaxy's center, he used the positions of the clusters to estimate the position of the sun relative to the galactic center. While his distance estimate was significantly in error, it did demonstrate that the dimensions of the galaxy were much greater than had been previously thought. (Shapley's estimate was, however, within the same order of magnitude of the currently accepted value.)

Shapley was subsequently assisted in his studies of clusters by Henrietta Swope and Helen Battles Sawyer (later Hogg). In 1927â€"29, Harlow Shapley and Helen Sawyer began categorizing clusters according to the amount of concentration the system has toward the core. The most concentrated stars were identified as Class I, with successively diminishing concentrations ranging to Class XII. This became known as the Shapleyâ€"Sawyer Concentration Class. (It is sometimes given with numbers (Class 1–12) rather than roman numerals.)

Composition

Globular clusters are generally composed of hundreds of thousands of old stars, similar to the bulge of a spiral galaxy but confined to a volume of only a few cubic parsecs. Some globular clusters (like Omega Centauri in our Milky Way, and G1 in M31) are extraordinarily massive clusters, weighing as many as several million solar masses. Some globular clusters (like M15) have extremely massive cores which are expected to harbor black holes.

With a few notable exceptions, each globular cluster appears to have a definite age. That is, all the stars in a cluster are at the same stage in stellar evolution, suggesting that they formed at the same time. Globular clusters are typically the oldest objects in the Galaxy, and were among the first collections of stars to form.

Metallicity

Globular clusters normally consist of [[Metal-poor|Population IIstars]], which have a low metallicity compared toPopulation I stars such as the Sun. (Toastronomers, metals consist of all elements heavier than Helium,such as Lithium and Carbon.)

The Dutch astronomer Pieter Oosterhoff noticed that there appear to be two populations of globular clusters, which became known as Oosterhoff groups. The second group has a slightly longer period of RR Lyrae variable stars. Both groups have weak lines of metallic elements. But the lines in the stars of Oosterhoff type I (OoI) cluster are not quite as weak as those in type II (OoII). Hence type I are referred to as "metal-rich" while type II are "metal-poor".

These two populations have been observed in many galaxies (especially massive elliptical galaxies). Both groups are of similar ages (nearly as old as the universe itself) but differ in their metalabundances. Many scenarios have been suggested to explain these subpopulations, including violent gas-rich galaxy mergers, the accretion of dwarf galaxies, and multiple phases of star formation in a single galaxy. In our Milky Way, the metal-poor clusters are associated with the halo and the metal-rich clusters with the Bulge.

In the Milky Way it has been discovered that the large majority of the low metallicity clusters are aligned along a plane in the outer part of the galaxy's halo. This result argues in favor of the view that type II clusters in the galaxy were captured from a satellite galaxy, rather than being the oldest members of the Milky Way's globular cluster system as had been previously thought. The difference between the two cluster types would then be explained by a time delay between when the two galaxies formed their cluster systems.

Exotic components

Globular clusters have a very high star density, and therefore close interactions and near-collisions of stars occur relatively often. Due to these chance encounters, some exotic classes of stars, such as blue stragglers, millisecond pulsars and low-mass X-ray binaries, are much more common in globular clusters. A blue straggler is formed from the merger two stars, possibly as a result of an encounter with a binary system. The resulting star has a higher temperature than comparable stars in the cluster with the same luminosity, and thus differs from the main sequence stars.

Globular cluster M15 has a 4,000-solar mass black hole at its core. NASA image.

Astronomers have searched for the existence of black holes within globular clusters since the 1970s. However the resolution requirements for this task are exacting, and it was only with the Hubble space telescope that the first confirmed discoveries have been made. In independent programs, a 4,000 solar mass intermediate-mass black hole has been discovered in the globular cluster M15 and a 20,000 solar mass black hole in the G1 cluster in the Andromeda Galaxy.

By matching up these curves on the HR diagram, the absolute magnitude of main sequence stars in the cluster can also be determined. This in turn provides a distance estimate to the cluster, based on the visual magnitude of the stars. The difference between the relative and absolute magnitude (the bolometric correction) yields this distance estimate.

The most massive main sequence stars in a globular cluster will also have the highest absolute magnitude, and these will be the first to evolve into the giant star stage. As the cluster ages, stars of successively lower masses will also enter the giant star stage. Thus the age of a cluster can be measured by looking for the stars that are just beginning to enter the giant star stage. This forms a "knee" in the HR diagram, bending to the upper right from the main sequence line. The absolute magnitude at this bend is directly a function of the globular cluster, and the age range can be plotted on an axis parallel to the magnitude.

By this means it has been shown, for example, that the cluster NGC 1818 is only about 40 million years in age, while M4 may be as old as 12.7 billion years. The later cluster, and other similar clusters, place a bounds on the age limit of the entire universe. This lower limit has been a significant constraint in cosmology.

Evolutionary studies of globular clusters can also be used to determine changes due to the starting composition of the gas and dust that formed the cluster. That is, the change in the evolutionary tracks due to the abundance of heavy elements. (Heavy elements in astronomy are considered to be all elements more massive than Helium.) The data obtained from studies of globular clusters are then used to study the evolution of the Milky Way as a whole.
Milky Way0.07±0.04
LMC0.16±0.05
SMC0.19±0.06
M310.09±0.04
Although globular clusters generally appear spherical in form, ellipticities can occur due to tidal interactions. Clusters within the Milky Way and the Andromeda Galaxy are typically oblate spheroids in shape, while those in the Large Magellanic Clouds are more elliptical.

Radii

Astronomers characterize the morphology of a globular cluster by means of standard radii. These are the core radius (rc), the half-light radius (rh) and the tidal radius (rc). The overall luminosity of the cluster steadily decreases with distance from the core, and the core radius is the distance at which the apparent surface luminosity has dropped by half. A comparable quantity is the half-light radius, or the distance from the core at which half the total luminosity from the cluster is received. This is typically larger than the core radius.

Note that the half-light radius includes stars in the outer part of the cluster that happen to lie along the line of sight, so theorists will also use the half-mass radius (rm)—the radius from the core that contains half the total mass of the cluster. When the half-mass radius of a cluster is small relative to the overall size, it has a dense core. An example of this is the Globular Cluster M3, which has an overall visible dimension of about 18, but a half-mass radius of only 1.12″.

Finally the tidal radius is the distance from the center of the globular cluster at which the external gravitation of the galaxy has more influence over the stars in the cluster than does the cluster itself. This is the distance at which the individual stars belonging to a cluster can be separated away by the galaxy. The tidal radius of M3 is about 38″.

Luminosity

In measuring the luminosity curve of a globular cluster as a function of radius, most clusters in the Milky Way steadily increase in luminosity up to a certain distance from the core, then the luminosity levels off. Typically this distance is about 1–2 parsecs from the core. However about 20% of the globular clusters have undergone a process termed "core collapse". In this type of cluster, the luminosity continues to steadily increase all the way to the core region. An example of a core-collapsed globular is M15.

[[Image:47tuc_salt.jpg|left|thumb|240px|{{47 Tucanae}} is thesecond most luminous globular cluster in the Milky Way, after {{Omega Centauri}}.]]Core-collapse is thought to occur when the more massive stars in a globular encounter their less massive companions. As a result of the encounters the larger stars tend to lose kinetic energy and start to settle toward the core. Over a lengthy period of time this leads to a concentration of massive stars near the core.

The overall luminosities of the globular clusters within the Milky Way and M31 can be modelled by means of a gaussian curve. This gaussian can be represented by means of an average magnitude Mv and a variance σ. This distribution of globular cluster luminosities is called the Globular Cluster Luminosity Function (GCLF). (For the Milky Way, Mv = âˆ'7.20±0.13, σ=1.1±0.1 magnitudes.) The GCLF has also been used as a "standard candle" for measuring the distance to other galaxies, under the assumption that the globular clusters in remote galaxies follow the same principles as they do in the Milky Way.

N-body simulations

Computing the interactions between the stars within a globular cluster requires solving what is termed the N-body problem. That is, each of the stars within the cluster continually interacts with the other N−1 stars, where N is the total number of stars in the cluster. The CPU computational "cost" for a simulation increases in proportion to N3', so the potential computing requirements to accurately simulate such a cluster can be enormous. An efficient method of mathematically simulating the N-body dynamics of a globular cluster is done by sub-dividing into small volumes and velocity ranges, and using probabilities to describe the locations of the stars. The motions are then described by means of a formula called the Fokker-Planck equation. This can be solved by a simplified form of the equation, or by running Monte Carlo simulations and using random values. However the simulation becomes more difficult when the effects of binaries and the interaction with external gravitation forces (such as from the Milky Way galaxy) must also be included.

The results of N-body simulations have shown that the stars can follow unusual paths through the cluster, often forming loops and often falling more directly toward the core than would a single star orbiting a central mass. In addition, due to interactions with other stars that results in an increase in velocity, some of the stars gain sufficient energy to be able to depart the cluster. Over long periods of time this will result in a dissipation of the cluster, a process termed evaporation. These tails typically both precede and follow the cluster along its orbit. The tails can accumulate significant portions of the original mass of the cluster, and can form clump-like features.

The globular cluster Palomar 5, for example, is near the perihelion of its orbit after passing through the Milky Way. Streams of stars extend outward toward the front and rear of the orbital path of this cluster, stretching out to distances of 13,000 light years.{{cite web
last = Staudefirst = Jakob date = 2002-06-03url = http://www.sdss.org/news/releases/20020603.pal5.htmltitle = Sky Survey Unveils Star Cluster Shredded By The Milky Waywork = Image of the Weekpublisher = Sloan Digital Sky Surveyaccessdate = 2006-06-02 Tidal interactions have stripped away much of the mass from Palomar 5, and further interactions as it passes through the galactic core will transform it into a long stream of stars orbiting the Milky Way halo.

Tidal interactions add kinetic energy into a globular cluster, dramatically increasing the evaporation rate and shrinking the size of the cluster. Not only does tidal shock strip off the outer stars from a globular cluster, but the increased evaporation accelerates the process of core collapse.

See also

*List of globular clusters
*Plummer model
*Relaxation time

References

General resources

* NASA Astrophysics Data System has a collection of past articles, from all major astrophysics journals and many conference proceedings.
* SCYON is a newsletter dedicated to star clusters.
* MODEST is a loose collaboration of scientists working on star clusters.

Books

* Binney, James; Tremaine, Scott (1987). Galactic Dynamics, Princeton University Press, Princeton, New Jersey.
* Heggie, Douglas; Hut, Piet (2003). The Gravitational Million-Body Problem: A Multidisciplinary Approach to Star Cluster Dynamics, Cambridge University Press.
* Spitzer, Lyman (1987). Dynamical Evolution of Globular Clusters, Princeton University Press, Princeton, New Jersey.

Review Articles

* Elson, Rebecca; Hut, Piet; Inagaki, Shogo (1987). Dynamical evolution of globular clusters. Annual review of astronomy and astrophysics 25 565. NASA ADS
* Meylan, G.; Heggie, D. C. (1997). Internal dynamics of globular clusters. The Astronomy and Astrophysics Review 8 1. NASA ADS

External links

* Globular Clusters, SEDS Messier pages
* Milky Way Globular Clusters
* Catalogue of Milky Way Globular Cluster Parameters by William E. Harris, McMaster University, Ontario, Canada.
* A galactic globular cluster database by Marco Castellani, Rome Astronomical Observatory, Italy.



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