Size distributions of member asteroids in seven Hirayama families

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Asteroids, Astrometry, Asteroid Belts, Kinematics, Size Distribution, Solar Orbits

Scientific paper

The size distributions of asteroids in the seven Hirayama families are studied for newly assigned member asteroids in the diameter range of about 10 to 100 km. The size distributions for the different families are expressed by the power-law functions with distinctly different power-law indices. The power-law indices for families with small mean orbital inclinations are about 2.5 to 3.0. On the other hand, the power-law indices for families with large mean orbital inclinations are significantly smaller than 2.5. This indicates that the smaller asteroids were removed preferentially from these families after their formation. It is hypothesized that the smaller asteroids left behind the families were dispersed into the main belt. This segregation due to the asteroid size can be caused by a drag force caused by the ambient matter deposited on the invariable plane of the solar system during the early evolutionary stage.

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