Seventy-five years of Hirayama asteroid families:

1994 Yoshihide Kozai achondrites ASP Conference Series asteroid belt asteroid families Astron Astronomical Babadzhanov Binzel Brouwer calculated celestial Cellino chaotic close encounters cluster collision Comets computed crater density diameter distance distribution Drobyshevski dynamical families Earth eccentricity encounters between asteroids estimate Families of Asteroids Farinella Figure Flora fragments Froeschle Fujiwara gaps Gehrels Geminids Hirayama families Icarus inclination initial Japan Jupiter Kirkwood gaps km/s Knezevic Koronis family Lemaitre libration Lindblad longitude main belt mass mean motion meteor showers meteorites meteoroid meteoroid stream method Milani Morbidelli Nakamura NEAs number of asteroids numbered asteroids Observatory observed obtained orbital elements parent body particles perihelion planetary probability projectile proper element space radiants random region rejection level rotation sample secular resonances semi-major axis small asteroids solar system Southworth Spacewatch Table target Themis theory Tomohiro Hirayama eds Toutatis values Vesta Vesta family Yoshihide Kozai Zappala