  In this paper we use a Modified Newton's method based on the Continuous
analog of Newton's method and high precision arithmetic for a general numerical
search of periodic orbits for the planar three-body problem. We consider
relatively short periods and a relatively coarse search-grid. As a result, we
found 123 periodic solutions belonging to 105 new topological families that are
not included in the database in [Science China Physics, Mechanics and Astronomy
60.12 (2017)]. The extensive numerical search is achieved by a parallel solving
of many independent tasks using many cores in a computational cluster.
