Estudi i simulació del problema restringit estès de tres cossos

Abstract

[en] The extended restricted three body problem studies the motion of three bodies such that their mutual interaction corresponds to a force $F \sim r^{\alpha}$ and that one of their masses is much smaller than the others, which means that this body will not affect the others’ motion. In order to study the motion of this body, the two body problem for the other two will have to be solved and then, the less massive body will be introduced in the two body system without perturbing their motion. A simulator that calculates and draws the three orbits has been built.