F. Thomas et A. Morbidelli, THE KOZAI RESONANCE IN THE OUTER SOLAR-SYSTEM AND THE DYNAMICS OF LONG-PERIOD COMETS, Celestial mechanics & dynamical astronomy, 64(3), 1996, pp. 209-229
We consider the secular evolution of the orbits of bodies in the Outer
Solar System under the perturbations of the jovian planets assumed on
coplanar and circular orbits. Through the approach used for asteroida
l belt by Yoshihide Kozai in 1962, we obtain that the Kozai resonance
do not affect the behavior of bodies belonging to the Kuiper belt but
concerns the long-timescale evolution of long-period comets. In partic
ular this resonance appears as a process contributing to produce Sun-g
razer comets.