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Mem. S.A.It. Vol. 87, 200

SAIt 2016 c

Memoriedella

YORP and collisional shaping of the sub-populations, rotation rate and

size-frequency distributions in the main-belt

A. Rossi

1

, F. Marzari

2

, D. Scheeres

3

, S. Jacobson

4

, and D. Davis

5

1

IFAC-CNR, via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy

2

Dipartimento di Fisica, Universit`a di Padova, via Marzolo 8, 35131, Padova, Italy

3

University of Colorado at Boulder, 429 UCB, Boulder, CO 80305-0429, USA

4

Observatoire de la Cote d’Azur, Blvd de l’Observatoire, F 06304 Nice Cedex 4, France

5

Planetary Science Institute, Tucson, AZ 85719-2395, USA

Abstract.

In the last several years a comprehensive asteroid-population-evolution model was developed incorporating both the YORP effect and collisional evolution (Rossi et al. 2009), (Marzari et al.

2011), (Jacobson et al. 2014).

From the results of this model we were able to match the observed main belt rotation rate distribution and to give a first plausible explanation of the observed excess of slow rotators, through a random walk-like evolution of the spin, induced by repeated collisions with small projectiles.

Moreover, adding to the model the rotational fission hypothesis (i.e. when the rotation rate exceeds a critical value, erosion and binary formation occur; Scheeres 2007) and binary-asteroid evolution (Jacobson & Scheeres 2011), we first showed that the YORP-induced rotational- fission hypothesis has strong repercussions for the small size end of the main-belt asteroid size- frequency distribution.

We also concluded that this hypothesis is consistent with observed asteroid-population statis- tics and with the observed sub-populations of binary asteroids, asteroid pairs and contact binaries.

An overview of the results obtained, the modelling uncertainties and the ongoing work will be given.

References

Jacobson, S. A., & Scheeres, D. J. 2011, ApJ, 736, L19

Jacobson, S. A., Marzari, F., Rossi, A., Scheeres, D. J., & Davis, D. R. 2014, MNRAS, 439, L95 Marzari, F., Rossi, A., & Scheeres, D. J. 2011, Icarus, 214, 622

Rossi, A., Marzari, F., & Scheeres, D. J. 2009, Icarus, 202, 95

Scheeres, D. J. 2007, Icarus, 189, 370

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