Resumen:
Differentiated family of asteroids is a family of asteroids that came from a differentiated parental body. The existence of metallic meteorites (McCoy et al., 2006, and references therein), taxonomic diversity in asteroid families (Mothe-Diniz et al., 2005; Roig et al.,2008), and asteroids spectra compatible with differentiated achondrites (Mothe-Diniz & Carvano, 2005) are evidences for the existence of differentiated asteroids families in the Main Belt. However, until now there was no real confirmation of the existence of differentiated families (Bottke et al., 2006; Weiss et al., 2013). This leads to questioning whether the family identification methods are able to identify differentiated families. To test this hypothesis, we must create a synthetic differentiated family of asteroids to be able to test the identification methods. This work propose to create a simple model that generates a different synthetic family. The model was based on the analytical model of Petit & Farinella (1993) and numerical results of Jutzi et al. (2010). The dispersion of the ejection speeds based on the model are concentrated along the middle value, and does not reproduce the dispersion of the results of Jutzi et al. (2010). However, the model provides a relationship between the mass and velocity. After obtaining a differentiated synthetic family, we evolve this family in time using the orbital integrator SWIFT. We found that the scattering of fragments from the mantle is greater than the fragments from the core.
