For three centuries astronomers and mathematicians have studied the problem of the formation and evolution of the Solar System. One way to study the formation of the Solar System is throughnumerical simulations. The Nice model is a scientific model to describe the dynamical evolution of the Solar System by simulation of the interaction of the gravitational N-body problem. The Nice model explains some observational constraints of the current Solar System like the keplerian elements of the giants planets, the capture of the satellites and trojans of Jupiter and Neptune, the secular evolution of the terrestrial planets and the evolution of the main asteroid belt. However, two important features are still in open debate: the time of instability and the formation of the Kuiper Belt.In addition, the simulations of the Nice model conducted so far account only for the gravitational interactions among the planets and between planets and planetesimals,but they do not account for the gravitational interactions among the planetesimals, i.e the self-gravity of the disk. The proposal of this project is to include the self-gravitating planetesimal disk alongside with the dynamical phases described by the Nice Model to study its implications on the time of instability and the dynamical formation of the Kuiper Belt.
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