The Role of Families in Determining Collision Probability in the Asteroid Main Belt

Abstract Asteroid families represent the outcomes of major collisional events in the asteroid Main Belt. These events produced in some cases huge numbers of fragments, down to sizes of at least 1 km in diameter. In this paper we show that these families produce a significant increase in the “local” collision rate by as much as an order of magnitude relative to the average collision rate of the entire Belt. This fact should be taken into account in future studies of the collisional evolution of the Main Belt.

[1]  P. Farinella,et al.  Wavy size distributions for collisional systems with a small-size cutoff , 1994 .

[2]  W. Bottke,et al.  Asteroidal collision probabilities , 1993 .

[3]  Richard Greenberg Orbital interactions - A new geometrical formalism , 1982 .

[4]  Paolo Tanga,et al.  The Velocity–Size Relationship for Members of Asteroid Families and Implications for the Physics of Catastrophic Collisions , 1999 .

[5]  Alain Doressoundiram,et al.  The puzzling case of the Nysa-Polana family finally solved ? , 1998 .

[6]  ASTEROID COLLISIONAL EVOLUTION - AN INTEGRATED MODEL FOR THE EVOLUTION OF ASTEROID ROTATION RATES , 1992 .

[7]  Richard P. Binzel,et al.  Asteroid collisional history - Effects on sizes and spins , 1989 .

[8]  Alberto Cellino,et al.  Interlopers within Asteroid Families , 1995 .

[9]  Alberto Cellino,et al.  Asteroid Families: Search of a 12,487-Asteroid Sample Using Two Different Clustering Techniques , 1995 .

[10]  D. Davis,et al.  Collisional history of asteroids: Evidence from Vesta and the Hirayama families , 1985 .

[11]  Morbidelli,et al.  Origin of multikilometer earth- and mars-crossing asteroids: A quantitative simulation , 1998, Science.

[12]  G. W. Wetherill,et al.  Collisions in the asteroid belt , 1967 .

[13]  Brett James Gladman,et al.  Asteroid Showers on Earth after Family Breakup Events , 1998 .

[14]  Alberto Cellino,et al.  The size distribution of main-belt asteroids from IRAS data , 1991 .

[15]  Alessandro Morbidelli,et al.  Asteroid Families Close to Mean Motion Resonances: Dynamical Effects and Physical Implications , 1995 .

[16]  Paolo Tanga,et al.  On the Size Distribution of Asteroid Families: The Role of Geometry , 1999 .

[17]  Alberto Cellino,et al.  Reconstructing the Original Ejection Velocity Fields of Asteroid Families , 1996 .

[18]  Statistical Properties of Encounters among Asteroids: A New, General Purpose, Formalism , 1998 .

[19]  R. Jedicke,et al.  The Orbital and Absolute Magnitude Distributions of Main Belt Asteroids , 1998 .

[20]  Francesco Marzari,et al.  Collisional Evolution of Asteroid Families , 1995 .

[21]  Harold F. Levison,et al.  Dynamical Lifetimes of Objects Injected into Asteroid Belt Resonances , 1997 .