Astronomy & Astrophysics manuscript no. fams c ESO 2012 March 27, 2012 Constraining the cometary flux through the asteroid belt during the Late Heavy Bombardment M. Brozˇ1, A. Morbidelli2, W.F. Bottke3, J. Rozehnal1, D. Vokrouhlicky´1, D. Nesvorny´3 1 Institute of Astronomy, Charles University, Prague, V Holesoviˇ ckˇ ach´ 2, 18000 Prague 8, Czech Republic, e-mail:
[email protected]ff.cuni.cz,
[email protected],
[email protected] 2 Observatoire de la Coteˆ d’Azur, BP 4229, 06304 Nice Cedex 4, France, e-mail:
[email protected] 3 Department of Space Studies, Southwest Research Institute, 1050 Walnut St., Suite 300, Boulder, CO 80302, USA, e-mail:
[email protected],
[email protected] Received ???; accepted ??? ABSTRACT Context. In the Nice model, the Late Heavy Bombardment (LHB) is related to an orbital instability of giant planets which causes a fast dynamical dispersion of a transneptunian cometary disk (Gomes et al. 2005). Aims. We study effects produced by these hypothetical cometary projectiles on main-belt asteroids. In particular, we want to check if the observed collisional families provide a lower or an upper limit for the cometary flux during the LHB. Methods. We present an updated list of observed asteroid families as identified in the space of synthetic proper elements by the hierarchical clustering method, colour data, albedo data and dynamical considerations and we estimate their physical parameters. We select 12 families which may be related to the LHB according to their dynamical ages. We then use collisional models and N-body orbital simulations to get insights into long-term dynamical evolution of synthetic LHB families over 4 Gyr.