  This work analyzes the phase correlation of the three lunar cycles and the
Saros/Exeligmos cycle, after the study of the chapter About Exeligmos in
Introduction to the Phenomena by Geminus. Geminus, refers that each Exeligmos
cycle began on very specific and rare dates, when the Moon positioned at the
points of the three lunar cycles beginning: New moon at Apogee and at the Node.
The extremely large duration of the Annular Solar eclipse occurred on December
22 178BC (Saros series 58), marks the start of the Prominent Saros Cycle
Apokatastasis. The next day, 23 December 178BC, the Winter Solstice started.
During these two neighboring dates, the celebration of the religious festival
of Isia started in Egypt and the Hellenistic Greece. After the analysis of the
Mechanism's Parapegma events specific position, 22/23 December 178BC is an
ideal, functional and representative initial date, in order to calibrate the
initial position of the Mechanism's pointers.
