Asteroid family

An asteroid family is a population of asteroids that share similar orbital elements, such as semimajor axis, eccentricity, and orbital inclination. The members of the families are thought to be fragments of past asteroid collisions.

General properties

Large, prominent families contain several hundred recognized asteroids (and many more smaller objects which may be either not-yet-analyzed, or not-yet-discovered). Small, compact families can have only about ten identified members. About 33% to 35% of asteroids in the main belt are family members.

There are about 20 to 30 reliably recognized families, with several tens of less certain groupings. Most asteroid families are found in the main asteroid belt, although several family-like groups such as the Pallas family, Hungaria family, and the Phocaea family lie at smaller semi-major axis or larger inclination than the main belt.

One family has been identified associated with the dwarf planet dp|Haumea Michael E. Brown, Kristina M. Barkume, Darin Ragozzine & Emily L. Schaller, "A collisional family of icy objects in the Kuiper belt", Nature, 446, (March 2007), pp 294-296.] . Some studies have tried to find evidence of collisional families among the trojan asteroids, but at present the evidence is inconclusive.

Origin and evolution

The families are thought to form as a result of collisions between asteroids. In many or most cases the parent body was shattered, but there are also several families which resulted from a large cratering event which did not disrupt the parent body (e.g. the Vesta, Pallas, Hygiea, and Massalia families). Such "cratering families" typically consist of a single large body and a swarm of asteroids that are much smaller. Some families (e.g. the Flora family) have complex internal structures which are not satisfactorily explained at the moment, but may be due to several collisions in the same region at different times.

Due to the method of origin, all the members have closely matching compositions for most families. Notable exceptions are those families (such as the Vesta family) which formed from a large differentiated parent body.

Asteroid families are thought to have lifetimes of the order of a billion years, depending on various factors (e.g. smaller asteroids are lost faster). This is significantly shorter than the Solar System's age, so few if any are relics of the early Solar System. Decay of families occurs both because of slow dissipation of the orbits due to perturbations from Jupiter or other large bodies, and because of collisions between asteroids which grind them down to small bodies. Such small asteroids then become subject to perturbations such as the Yarkovsky effect that can push them towards orbital resonances with Jupiter over time. Once there, they are relatively rapidly ejected from the asteroid belt. Tentative age estimates have been obtained for some families, ranging from hundreds of millions of years to less than several million years for e.g. the compact Karin family. Old families are thought to contain few small members, and this is the basis of the age determinations.

It is supposed that many very old families have lost all the smaller and medium-sized members, leaving only a few of the largest intact. A suggested example of such old family remains are the 9 Metis and 113 Amalthea pair. Further evidence for a large number of past families (now dispersed) comes from analysis of chemical ratios in iron meteorites. These show that there must have once been at least 50 to 100 parent bodies large enough to be differentiated, that have since been shattered to expose their cores and produce the actual meteorites (Kelley & Gaffey 2000).

Identification of members and interlopers

When the orbital elements of main belt asteroids are plotted (typically inclination vs. eccentricity, or vs. semi-major axis), a number of distinct concentrations are seen against the rather uniform background distribution of generic asteroids. These concentrations are the asteroid families.

Strictly speaking, families and their membership are identified by analysing the so-called proper orbital elements rather than the current osculating orbital elements, which regularly fluctuate on timescales of tens of thousands of years. The "proper elements" are related constants of motion that remain almost constant for times of at least tens of millions of years, and perhaps longer.

The Japanese astronomer Kiyotsugu Hirayama (1874-1943) pioneered the estimation of proper elements for asteroids, and first identified several of the most prominent families in 1918. In his honor, asteroid families are sometimes called Hirayama families. This particularly applies to the five prominent groupings discovered by him.

Present day computer-assisted searches have identified several tens of asteroid families. The most prominent algorithms have been theHierarchical Clustering Method (HCM) which looks for groupings with small nearest-neighbour distances in orbital element space, and the Wavelet Analysis Method (WAM) which builds a density-of-asteroids map in orbital element space, and looks for density peaks.

The boundaries of the families are somewhat vague because at the edges they blend into the background density of asteroids in the main belt. For this reason the number of members even among discovered asteroids is usually only known approximately, and membership is uncertain for asteroids near the edges.

Additionally, some "interlopers" from the heterogeneous background asteroid population are expected even in the central regions of a family. Since the true family members caused by the collision are expected to have similar compositions, most such interlopers can in principle be recognised by spectral properties which do not match those of the bulk of family members. A prominent example is 1 Ceres, the largest asteroid, which is an interloper in the family once named after it (the Ceres family, now the Gefion family).

Spectral characteristics can also be used to determine the membership (or otherwise) of asteroids in the outer regions of a family, as has been used e.g. for the Vesta family, whose members have an unusual composition.

Family types

As previously mentioned, families caused by an impact that did not disrupt the parent body but only ejected fragments are called "cratering families". Other terminology has been used to distinguish various types of groups which are less distinct or less statistically certain from the most prominent "nominal families" (or "clusters"). The term "cluster" is also used to describe a small asteroid family, such as the Karin Cluster David Nesvorný, Brian L. Enke, William F. Bottke, Daniel D. Durda, Erik Ashaug & Derek C. Richardson "Karin cluster formation by asteroid impact", Icarus 183, (2006) pp 296-311.] . "Clumps" are groupings which have relatively few members but are clearly distinct from the background (e.g. the Juno clump). "Clans" are groupings which merge very gradually into the background density and/or have a complex internal structure making it difficult to decide whether they are one complex group or several unrelated overlapping groups (e.g. the Flora family has been called a clan). "Tribes" are groups that are less certain to be statistically significant against the background either because of small density or large uncertainty in the orbital parameters of the members.

List of families

::Notes for table:
*A: Mean of the "core" members found in HCM and WAM analyses by Zappala et al (1995), rounded to 2 significant digits. That analysis considered 12487 asteroids, but currently over 300,000 are known (an increase by a factor of over 25). Hence, the number of currently catalogued asteroids that are members of a given family is likely to be greater than the value in this column by a similar factor of roughly 25.
*B: Reference elsewhere.
*C: Most of these are families listed as "robustly" identified in Bendjoya and Zappala (2002). Exception: Karin family.
*D: TNOs are not considered asteroids, but are included here for completeness.

"See also , which names some less prominent and uncertain groupings."

ee also

*asteroid
*minor planet
*main belt
*Hirayama families
*proper orbital elements
*
*dp|Haumea

References

* Bendjoya, Philippe; and Zappalà, Vincenzo; "Asteroid Family Identification", in "Asteroids III", pp. 613-618, University of Arizona Press (2002), ISBN 0-8165-2281-2
* V. Zappalà et al "Physical and Dynamical Properties of Asteroid Families", in "Asteroids III", pp. 619-631, University of Arizona Press (2002), ISBN 0-8165-2281-2
* A. Cellino et al "Spectroscopic Properties of Asteroid Families", in "Asteroids III", pp. 633-643, University of Arizona Press (2002), ISBN 0-8165-2281-2
* [http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1918AJ.....31..185H&db_key=AST&high=40daf3f6f907959 Hirayama, Kiyotsugu; "Groups of asteroids probably of common origin", "Astronomical Journal", Vol. 31, No. 743, pp. 185-188 (October 1918).]
* [http://www.boulder.swri.edu/~davidn/papers/nesvorny-etal-karin-nature-2002.pdf Nesvorný, David; Bottke Jr., William F.; Dones, Luke; and Levison, Harold F.; "The recent breakup of an asteroid in the main-belt region", "Nature", Vol. 417, pp. 720-722 (June 2002).]
* [http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1990AJ....100.2030Z&db_key=AST&high=40daf3f6f915976 Zappalà, Vincenzo; Cellino, Alberto; Farinella, Paolo; and Knežević, Zoran; "Asteroid families I - Identification by hierarchical clustering and reliability assessment", "Astronomical Journal", Vol. 100, p. 2030 (December 1990).]
* [http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1994AJ....107..772Z&db_key=AST&high=40daf3f6f913642 Zappalà, Vincenzo; Cellino, Alberto; Farinella, Paolo; and Milani, Andrea; "Asteroid families II - Extension to unnumbered multiopposition asteroids", "Astronomical Journal", Vol. 107, pp. 772-801 (February 1994)]
*V. Zappalà et al "Asteroid Families: Search of a 12,487-Asteroid Sample Using Two Different Clustering Techniques", Icarus, Vol. 116, p. 291 (1995.)
*M. S. Kelley & M. J. Gaffey "9 Metis and 113 Amalthea: A Genetic Asteroid Pair", Icarus Vol. 144, p. 27 (2000).

External links

* [http://www.psi.edu/pds/resource/family.html Planetary Data System - Asteroid Families dataset] , as per the Zappalà 1995 analysis.
* [http://hamilton.dm.unipi.it/cgi-bin/astdys/astibo?proper_elements:0;main Latest calculations of proper elements for numbered minor planets at astDys] .
* [http://sajri.astronomy.cz/asteroidgroups/groups.htm Asteroid (and Comet) Groups] by Petr Scheirich (with excellent plots).


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