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A comparison between 2D and 3D wavelet analysis method for asteroid family dynamical study
Authors:Philippe Bendjoya
Institution:(1) Observatoire de la Côte d'Azur, BP 229, 06003 Nice cedex 4, France
Abstract:As found in previous studies (Bendjoyaet al. 1991) the wavelet analysis is a reliable tool for the determination of asteroid families. A comparison between the 2D and a newly developed 3D wavelet analysis is performed on 14 ldquofictitiousrdquo families numerically generated the members of which area priori known. It clearly appears that the 3D method brings improvements to the 2D approach. Indeed the 3D analysis appears well suited for all cases even for those corresponding to the very dense Flora region and for ldquoexoticrdquo families such as filamentar ones. With the 2D method, satisfying results are obtained for the simulations which correspond to 70% of the real asteroid families previously found. The aim of this paper is to show quantitatively the improvement of the 3D method versus the 2D one.
Keywords:Asteroid  families of asteroids  wavelet analysis
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