The Collisional Evolution of Trans-Neptunian Objects Invited Review TNO 2006 International Workshop, Catania, Italy David P. O'Brien Planetary Science Institute, Tucson AZ Collisions have played an important role in creating and sculpting the population of trans-Neptunian objects (TNOs). In the earliest stages, low-velocity collisions led to the accretion of large TNOs from a population of small planetesimals. Work on this subject [eg. 1-4] suggests that the primordial TNO population must have been substantially more massive than it currently is in order for large bodies like Pluto to accrete within the age of the Solar System. Following the accretion and dynamical excitation of TNOs, more energetic collisions could have played a role in reducing the mass of the TNO population to its current level, and that collisional activity could be responsible for shaping the current size distribution of TNOs [eg. 1,5-10]. In addition, it has been suggested that collisional effects may be responsible, at least in part, for the differences between the colors of low- and high-inclination Kuiper belt objects [eg. 11-14]. Most work on these subjects assumes that the TNO population formed in its current location. Recent dynamical models [eg. 15] suggests that those bodies instead formed closer to the Sun and were pushed-out to their present locations during the migration of the outer planets. In such a scenario, dynamical depletion dominates over collisional grinding as a mass-loss mechanism, although collisional evolution could still play an important role in the sculpting of the TNO size and color distributions. A full understanding of the collisional evolution of the trans-Neptunian population thus requires consideration of its dynamical evolution as well. This review talk will summarize the work to date on the collisional evolution of the TNO population and highlight the outstanding questions and uncertainties that remain, with a specific focus on the implications of different dynamical models [eg. 15,16] for the collisional history of the TNO population. In addition, I will discuss the observational constraints that can be placed on the collisional history of TNOs, namely observational surveys that can constrain its current size and color distributions [eg. 17,18,11], and experimental constraints on the impact strength of TNOs [eg. 19-22], which is a necessary input parameter for any collisional modeling. References: [1] Stern, S.A., AJ 112, pp. 1203-1211 (1996). [2] Stern, S.A. and J.E. Colwell, AJ 114, pp. 841-849 (1997). [3] Kenyon, S.J. and J.X. Luu, AJ 115, pp. 2136-2160 (1998). [4] Kenyon, S.J. and J.X. Luu ApJ 526, pp. 465-470 (1999). [5] Stern, S.A. and J.E. Colwell, ApJ 490, pp. 879-882 (1997). [6] Davis, D.R and P. Farinella, Icarus 125, pp. 50-60 (1997). [7] Kenyon, S.J. and J.X. Luu, AJ 118, pp. 1101-1119 (1999). [8] Kenyon, S.J. and B.C. Bromley, AJ 128, pp. 1916-1926 (2004). [9] Pan, M. and R. Sari, Icarus 173, pp. 342-348 (2005). [10] Krivov, A.V. et al., Icarus 174, pp. 105-134 (2005). [11] Trujillo, C.A. and M.E. Brown, ApJ 566, pp. L125-L128 (2002). [12] Gil-Hutton, R., PSS 50, 57-62 (2002). [13] Stern, S.A., AJ 124, pp. 2297-2299 (2002). [14] Thebault, P. and A. Doressoundirama, Icarus 162, pp. 27-37 (2003). [15] Levison, H.F. and A. Morbidelli, Nature 426, pp. 419-421 (2003). [16] Gomes, R. et al., Nature 435, pp. 466-469 (2005). [17] Bernstein, G.M. et al., AJ 128, pp. 1364-1390 (2004). [18] Petit, J.-M. et al., MNRAS 365, pp. 429-438 (2006). [19] Ryan, E.V. et al., Icarus 142, pp. 56-62 (1999). [20] Arakawa, M. et al., Icarus 158, pp. 516-531 (2002). [21] Burchell, M.J. et al., Proceedings of ACM 2002, pp. 859-862 (2002). [22] Giblin, I. et al, Icarus 171, pp. 487-505 (2004).