Effect of the planetesimal disk on the positions of the secular resonances in the primordial Kuiper Belt
Résumé
During the pre-instability period following the disappearance of the protoplanetary gas disk, the giant planets were in a compact multiresonant orbital configuration, before starting to migrate by interacting with a planetesimal disk extending beyond the orbit of Neptune. It is commonly accepted that the disk was divided into two parts: a massive disk extending from Neptune to 30 AU and a low mass extension of the disk extending beyond 30 AU. We study the effect of the massive part of the disk on the nodal precession of the giant planets and of the planetesimals in order to find the positions of the secular resonances. The presence of the massive disk removes the degenaracy of the f5 nodal frequency and allows for a new secular resonance. We show that for some orbital configurations, the f5 nodal secular resonance is located in the region where the primordial cold classical Kuiper Belt formed.