DISPLAYING THE MOON PHASE PRECISELY IS A CHALLENGE
In
the moon phase display, a reduction gear train is placed between the
base calendar module and the moon phase disc. This gear train reduces
the duration of one calendar month to the duration of one synodic month,
which equals 29 days, 12 hours, 44 minutes and 2.88 seconds. The
accuracy of the display depends on the number of wheels used, their
proportions and the number of teeth they have. For the Portugieser
Eternal Calendar, IWC’s engineers devised a new reduction gear with
three intermediate wheels – two more than in the previous module with an
accuracy of 577.5 years.
To
develop a solution that is sufficiently robust and will function
reliably for extremely long periods of time, they defined key parameters
such as the minimum and maximum number of teeth per wheel. A computer
simulation program created specifically for this purpose was then tasked
with calculating almost 23 trillion different combinations of wheels
and teeth. In an iterative process, the engineers gradually worked their
way towards the perfect combination of wheels for this specific
application. Assuming a constant duration of the synodic month of 29
days, 12 hours, 44 minutes and 2.88 seconds, the display would
theoretically only deviate from the orbit of the moon by one day after
45,361,055 years.
LIGA PROCESS OFFERED THE REQUIRED PRECISION
Calculating
the wheels was, however, not the end of the story. In order to achieve
an even higher display accuracy, the backlash between the wheels was
minimised by optimising the tooth geometry. To ensure that the tiny
components function reliably over extremely long periods of time,
alternative approaches also had to be adopted in manufacturing. As
traditional metal machining would not have offered the precision needed,
IWC’s engineers opted for the so-called LIGA process to manufacture the
wheels. LIGA involves lithography, electroplating and moulding and is
often used in the semiconductor industry. This process permits the
production of exceptionally homogenous and smooth microstructures with a
degree of precision that conventional manufacturing capabilities would
not even be remotely capable of.