  We present new observations concerning the procedure for the reconstruction
of the lost eclipse events engraved in the Saros spiral cells of the
Antikythera Mechanism. For the reconstructed eclipse events we applied the
assumed, albeit missing, Draconic gearing of the Antikythera Mechanism, which
was probably a part of the Mechanism gearing, representing the fourth lunar
motion, the Draconic cycle. The Draconic gearing is very critical for the
eclipse prediction and defines whether an eclipse will occur. For our research
we created a program which presents the phase of the four lunar cycles and the
position of the Draconic pointer relative to the ecliptic limits. After
calibrating the software according to the preserved eclipse events, the lost
eclipse events of the Saros spiral were calculated and discussed. The procedure
for the calculation of the events times by using solely the Mechanism is also
presented. The eccentricity error of a gear which is preserved on the ancient
prototype is discussed. An experimental setup facilitated the analysis of the
mechanical characteristics of gears with triangular teeth and the errors. The
experimental study of the gears errors revealed the strong impact the
Antikythera Mechanism pointers have on the results.
