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Classification of asteroids using G-mode analysis
Institution:1. Osservatorio Astronomico di Collurania, 64100 Teramo, Italy;2. Reparto di Informatica, Istituto di Astrofisica Spaziale, CNR, C.P. 67, 00044 Frascati, Italy;3. Reparto di Planetologia, Istituto di Astrofisica Spaziale, Viale dell''Università 11, 00185 Roma, Italy;4. Istituto Astronomico, Università “La Sapienza,” Via Lancisi 29, 00161 Roma, Italy;1. State Key Laboratory of Power System, Department of Thermal Engineering, Tsinghua-BP Clean Energy Center, Tsinghua University, Beijing 100084, China;2. Guodian Science and Technology Research Institute, Nanjing 210046, China;1. Department of Mechanical Engineering, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran;2. Department of Mechanical Engineering, University of Guilan, P.O. Box 41635-3756, Rasht, Iran;1. Centre for Earth and Space Research of University of Coimbra, 3040–004 Coimbra, Portugal;2. Centre for Mathematics, University of Coimbra, 3001–501, Coimbra, Portugal;3. Slovak Central Observatory, 94701 Hurbanovo, Slovak Republic;4. Computational Intelligence Group of CTS/UNINOVA, 2829–516 Monte de Caparica, Portugal;5. Geophysical and Astronomical Observatory of University of Coimbra, 3040–004 Coimbra, Portugal;6. Department of Mathematics, University of Coimbra, 3001–454, Coimbra, Portugal
Abstract:A revised version of the G-mode multivariate statistics has been used to classify the 438 asteroids for which the eight-color photometric data and IRAS albedo are available. At a confidence level of 99.7%, seven taxonomic units of asteroids are separated by the method, while with higher values of the confidence level no separation occurs in the adopted sample. Decreasing the confidence level (i.e., accepting a higher probability of a wrong decision in classifying the asteroids), we obtain a more detailed grouping, which results in a successive subdivision of the first units found. At a confidence level of 97.5%, two groups are added to the original ones: C asteroids are in fact subdivided on the basis of their albedo into three different units. In total, 18 groups of objects can be distinguished, showing small deviations from the trend of the original groups. The method gives a quantitative estimate of the significance of the variables used. A comparison with the results obtained by D. J. Tholen (1984, Asteroid Taxonomy from Cluster Analysis of Photometry, Doctoral thesis, University of Arizona) shows that the nine principal units coincide with the Tholen's A, S, C, D, M, E, BU, G, (Q, R, S) classes, while the other groups are subdivisions of these classes, particularly of the S, D, and B ones. The method allows us to interpret the obtained results in terms of natural processes which characterized the history of asteroid population.
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