In this master thesis we will study the collinear four body problem from the numerical perspective. More precisely we will find different families of periodic, homoclinic and connection orbits and generalize the results. An homoclinic orbit is an orbit such that its limit forward in time and backward in time exist and are the same (in our case will be a periodic orbit). On the other hand a connection orbit is an orbit such that its limit forward in time is the total collision (collision of the four masses) and its limit backward in time is a periodic orbit. These orbits play an essential role in the dynamics of the system.