As this study has clearly shown, the AVP is a very interesting and applicable method in the study of the formation of large-scale structures in the Universe, especially on the scales of a few megaparsec. The method's ability to trace the orbits of galaxies and groups of galaxies back in time has provided us with the opportunity to take a closer look at quite a few subjects concerning the evolution of matter in the Universe. Ideally, if one had a complete catalogue of the galaxies in the LG and the LN, for example containing exact distance and mass estimates, the orbits of these galaxies could have been described to high accuracy. Unfortunately, such a catalogue does not exist as of today, and the results are therefore very colored by the poor quality of the input data. In addition, the non-linear behavior of the action results in a multivalued solution, which means that one need some discriminating factors to be able to determine the correct solution. Nevertheless, the solutions found by the AVP have been in surprisingly good agreement with observations.
The intension of this study has been to give a pedagogically detailed presentation of the AVP and its application in the study of the formation of the LG and LN, concentrating on the numerical implementation. The results of the work will be given next, on Section 7.1, followed by some suggestions for future work in Section 7.2.