Centaurs are small Solar System bodies with either a perihelion or a semi-major axis between those of the outer planets. They generally have unstable orbits because they cross or have crossed the orbits of one or more of the giant planets; almost all their orbits have dynamic lifetimes of only a few million years, but there is one Centaur, 514107 Kaʻepaokaʻawela, which may be in a stable (though retrograde) orbit. For criticism of this idea see  Centaurs typically behave with characteristics of both asteroids and comets. They are named after the mythological centaurs that were a mixture of horse and human. Observational bias toward large objects makes determination of the total Centaur population difficult. Estimates for the number of Centaurs in the Solar System more than 1 km in diameter range from as low as 44,000 to more than 10,000,000
The first Centaur to be discovered, under the definition of the Jet Propulsion Laboratory and the one used here, was 944 Hidalgo in 1920. However, they were not recognized as a distinct population until the discovery of 2060 Chiron in 1977. The largest confirmed Centaur is 10199 Chariklo, which at 260 kilometers in diameter is as big as a mid-sized main-belt asteroid, and is known to have a system of rings. It was discovered in 1997. However, the lost Centaur 1995 SN55 may be somewhat larger. The transneptunian object 2018 VG18, which is a Centaur under the broader definition, may be quite a bit larger.
No Centaur has been photographed up close, although there is evidence that Saturn's moon Phoebe, imaged by the Cassini probe in 2004, may be a captured Centaur that originated in the Kuiper belt. In addition, the Hubble Space Telescope has gleaned some information about the surface features of 8405 Asbolus.
Of the objects known to occupy Centaur-like orbits, approximately 30 have been found to display comet-like dust comas, with three, 2060 Chiron, 60558 Echeclus, and 29P/Schwassmann-Wachmann 1, having detectable levels of volatile production in orbits entirely beyond Jupiter. Chiron and Echeclus are therefore classified as both asteroids and comets, while Schwassmann-Wachmann 1 has always held a comet designation. Other Centaurs, such as 52872 Okyrhoe, are suspected of having shown comas. Any Centaur that is perturbed close enough to the Sun is expected to become a comet.
The generic definition of a Centaur is a small body that orbits the Sun between Jupiter and Neptune and crosses the orbits of one or more of the giant planets. Due to the inherent long-term instability of orbits in this region, even Centaurs such as 2000 GM137 and 2001 XZ255, which do not currently cross the orbit of any planet, are in gradually changing orbits that will be perturbed until they start to cross the orbit of one or more of the giant planets. Some astronomers count only bodies with semimajor axes in the region of the outer planets to be Centaurs; others accept any body with a perihelion in the region, as their orbits are similarly unstable.
However, different institutions have different criteria for classifying borderline objects, based on particular values of their orbital elements:
The Gladman & Marsden (2008) criteria would make some objects Jupiter-family comets: Both Echeclus (q = 5.8 AU, TJ = 3.03) and Okyrhoe (q = 5.8 AU; TJ = 2.95) have traditionally been classified as Centaurs. Traditionally considered an asteroid, but classified as a Centaur by JPL, Hidalgo (q = 1.95 AU; TJ = 2.07) would also change category to a Jupiter-family comet. Schwassmann-Wachmann 1 (q = 5.72 AU; TJ = 2.99) has been categorized as both a Centaur and a Jupiter-family comet depending on the definition used.
Other objects caught between these differences in classification methods include 944 Hidalgo which was discovered in 1920 and is listed as a Centaur in the JPL Small-Body Database. (44594) 1999 OX3, which has a semi-major axis of 32 AU but crosses the orbits of both Uranus and Neptune is listed as an outer Centaur by the Deep Ecliptic Survey (DES). Among the inner Centaurs, (434620) 2005 VD, with a perihelion distance very near Jupiter, is listed as a Centaur by both JPL and DES.
A recent orbital simulation of the evolution of Kuiper Belt Objects through the Centaur region has identified a short-lived "orbital gateway" between 5.4 and 7.8 AU through which 21% of all Centaurs pass, including 72% of the Centaurs that become Jupiter-family comets. Four objects are known to occupy this region, including 29P/Schwassmann-Wachmann, P/2010 TO20 LINEAR-Grauer, P/2008 CL94 Lemmon, and 2016 LN8, but the simulations indicate that there may of order 1000 more objects >1 km in radius that have yet to be detected. Objects in this gateway region can display significant activity and are in an important evolutionary transition state that further blurs the distinction between the Centaur and Jupiter-family comet populations.
The Committee on Small Body Nomenclature of the International Astronomical Union has not formally weighed in on any side of the debate. Instead, it has adopted the following naming convention for such objects: Befitting their Centaur-like transitional orbits between TNOs and comets, "objects on unstable, non-resonant, giant-planet-crossing orbits with semimajor axes greater than Neptune's" are to be named for other hybrid and shape-shifting mythical creatures. Thus far, only the binary objects Ceto and Phorcys and Typhon and Echidna have been named according to the new policy.
The diagram illustrates the orbits of known Centaurs in relation to the orbits of the planets. For selected objects, the eccentricity of the orbits is represented by red segments (extending from perihelion to aphelion).
To illustrate the range of the orbits' parameters, the diagram shows a few objects with very unusual orbits, plotted in yellow :
Over a dozen known Centaurs follow retrograde orbits. Their inclinations range from modest (e.g., 160° for Dioretsa) to extreme (i < 120°; e.g. 105° for (342842) 2008 YB3). Seventeen of these high-inclination, retrograde Centaurs appear to have an intersetllar origin.
Because the Centaurs are not protected by orbital resonances, their orbits are unstable within a timescale of 106–107 years. For example, 55576 Amycus is in an unstable orbit near the 3:4 resonance of Uranus. Dynamical studies of their orbits indicate that being a Centaur is probably an intermediate orbital state of objects transitioning from the Kuiper belt to the Jupiter family of short-period comets.
Objects may be perturbed from the Kuiper belt, whereupon they become Neptune-crossing and interact gravitationally with that planet (see theories of origin). They then become classed as Centaurs, but their orbits are chaotic, evolving relatively rapidly as the Centaur makes repeated close approaches to one or more of the outer planets. Some Centaurs will evolve into Jupiter-crossing orbits whereupon their perihelia may become reduced into the inner Solar System and they may be reclassified as active comets in the Jupiter family if they display cometary activity. Centaurs will thus ultimately collide with the Sun or a planet or else they may be ejected into interstellar space after a close approach to one of the planets, particularly Jupiter.
The relatively small size of Centaurs precludes remote observation of surfaces, but colour indices and spectra can provide clues about surface composition and insight into the origin of the bodies.
The colours of Centaurs are very diverse, which challenges any simple model of surface composition. In the side-diagram, the colour indices are measures of apparent magnitude of an object through blue (B), visible (V) (i.e. green-yellow) and red (R) filters. The diagram illustrates these differences (in exaggerated colours) for all Centaurs with known colour indices. For reference, two moons: Triton and Phoebe, and planet Mars are plotted (yellow labels, size not to scale).
Centaurs appear to be grouped into two classes:
There are numerous theories to explain this colour difference, but they can be divided broadly into two categories:
As examples of the second category, the reddish colour of Pholus has been explained as a possible mantle of irradiated red organics, whereas Chiron has instead had its ice exposed due to its periodic cometary activity, giving it a blue/grey index. The correlation with activity and color is not certain, however, as the active Centaurs span the range of colors from blue (Chiron) to red (166P/NEAT). Alternatively, Pholus may have been only recently expelled from the Kuiper belt, so that surface transformation processes have not yet taken place.
The interpretation of spectra is often ambiguous, related to particle sizes and other factors, but the spectra offer an insight into surface composition. As with the colours, the observed spectra can fit a number of models of the surface.
Water ice signatures have been confirmed on a number of Centaurs (including 2060 Chiron, 10199 Chariklo and 5145 Pholus). In addition to the water ice signature, a number of other models have been put forward:
Chiron appears to be the most complex. The spectra observed vary depending on the period of the observation. Water ice signature was detected during a period of low activity and disappeared during high activity.
Observations of Chiron in 1988 and 1989 near its perihelion found it to display a coma (a cloud of gas and dust evaporating from its surface). It is thus now officially classified as both a comet and an asteroid, although it is far larger than a typical comet and there is some lingering controversy. Other Centaurs are being monitored for comet-like activity: so far two, 60558 Echeclus, and 166P/NEAT have shown such behavior. 166P/NEAT was discovered while it exhibited a coma, and so is classified as a comet, though its orbit is that of a Centaur. 60558 Echeclus was discovered without a coma but recently became active, and so it too is now classified as both a comet and an asteroid. Overall, there are ~30 Centaurs for which activity has been detected, with the active population biased toward objects with smaller perihelion distances. 
Carbon monoxide has been detected in 60558 Echeclus and Chiron  in very small amounts, and the derived CO production rate was calculated to be sufficient to account for the observed coma. The calculated CO production rate from both 60558 Echeclus and Chiron is substantially lower than what is typically observed for 29P/Schwassmann–Wachmann, another distantly active comet often classified as a Centaur.
There is no clear orbital distinction between Centaurs and comets. Both 29P/Schwassmann-Wachmann and 39P/Oterma have been referred to as Centaurs since they have typical Centaur orbits. The comet 39P/Oterma is currently inactive and was seen to be active only before it was perturbed into a Centaur orbit by Jupiter in 1963. The faint comet 38P/Stephan–Oterma would probably not show a coma if it had a perihelion distance beyond Jupiter's orbit at 5 AU. By the year 2200, comet 78P/Gehrels will probably migrate outwards into a Centaur-like orbit.
A catalogue on the physical characteristics of Centaurs can be found at http://www.johnstonsarchive.net/astro/tnodiam.html. Centaurs can reach diameters up to hundreds of kilometers. The largest Centaurs have diameters in excess of 100 km, and primarily reside beyond about 13.11 AU. 
The study of Centaurs’ origins is rich in recent developments, but any conclusions are still hampered by limited physical data. Different models have been put forward for possible origin of Centaurs.
Simulations indicate that the orbit of some Kuiper belt objects can be perturbed, resulting in the object's expulsion so that it becomes a Centaur. Scattered disc objects would be dynamically the best candidates (For instance, the Centaurs could be part of an "inner" scattered disc of objects perturbed inwards from the Kuiper belt.) for such expulsions, but their colours do not fit the bicoloured nature of the Centaurs. Plutinos are a class of Kuiper belt object that display a similar bicoloured nature, and there are suggestions that not all plutinos' orbits are as stable as initially thought, due to perturbation by Pluto. Further developments are expected with more physical data on Kuiper belt objects.
|55576 Amycus||2002||NEAT at Palomar||11.1 Ma||UK|
|54598 Bienor||2000||Marc W. Buie et al.||?||U|
|10370 Hylonome||1995||Mauna Kea Observatory||6.3 Ma||UN|
|10199 Chariklo||1997||Spacewatch||10.3 Ma||U|
|8405 Asbolus||1995||Spacewatch (James V. Scotti)||0.86 Ma||SN|
|7066 Nessus||1993||Spacewatch (David L. Rabinowitz)||4.9 Ma||SK|
|5145 Pholus||1992||Spacewatch (David L. Rabinowitz)||1.28 Ma||SN|
|2060 Chiron||1977||Charles T. Kowal||1.03 Ma||SU|
^ the class is defined by the perihelion and aphelion distance of the object: S indicates a perihelion/aphelion near Saturn, U near Uranus, N near Neptune, and K in the Kuiper belt.
|Wikimedia Commons has media related to Centaurs (minor planets).|