MODEL ORBITS OF ASTEROID 3040-KOZAI

The orbital evolutions of the asteroid 3040 Kozai and model asteroids with similar orbits have been investigated. Their osculating orbits fo r an epoch 1991 December 10 were numerically integrated forward within the interval of 20,000 years, using a dynamical model of the solar sy stem consisting of all inner planets, Jupiter, and Saturn. The orbit o f the asteroid Kozai is stable. Its motion is affected only by long-pe riod perturbations of planets. With change of the argument of periheli on of the asteroid Kozai, the evolution of the model asteroid orbits c harges essentially, too. The model orbits with the argument of perihel ion changed by the order of 10 degrees show that asteroids with such o rbital parameters may approach the Earth orbit, while asteroids with l arger changes may even cross it, at least after 10,000 years. Long-ter m orbital evolution of asteroids with these orbital parameters is very sensitive on their angular elements.