E = 9.87sin2B - 7.53cosB - 1.5sinB... A look at the Equation of Time perpetual
By: SJX (registered) Monday, July 9th, 2007
The equation of time is the
difference between apparent time, what you see on a watch, and solar time, the
actual length of a day based on the earth's orbit around the sun. Throughout the
year, the equation of time (apparent time minus solar time) ranges from about
-14 minutes on 11 February to +16 minutes on 3 November. Only on
15 April, 14 June, 1 September and 24 December is the
day exactly 24 hours long.
There are two reasons for that.
One is because of the earth's elliptical orbit around the sun, meaning it traces
an ovoid shape around the sun, instead of the perfect circle we normally see.
Less well known is the fact that the earth's own axis of rotation is at an angle
relative to its orbit round the sun.
Needless to say, the
clever folks in Switzerland quickly put the equation of time onto a watch. This
complication was first seen on pocketwatches as old as 150 years, but now it is
widely seen on wristwatches, almost always with perpetual calendar function.
There are two ways of indicating the equation of time, either a subdial
indicating the difference in solar and apparent time, or with an additional
minute hand that displays solar time. Daniel Roth has taken the former route in
creating their Perpetual Calendar with Equation of
Time.
First unveiled in 2004, the
Perpetual Calendar with Equation of Time was given a face-lift this year,
although the movement remains the same. The perpetual calendar module is
manufactured by Daniel Roth, reflecting its strength in complications
development; the base movement is a Girard-Perregaux cal. 3100. Girard-Perregaux
makes a similar model in the Vintage 1945 case, but tellingly the movement
is created by Daniel Roth.
Aside from the
equation of time and perpetual calendar, this watch another clever complication
- a days of the month indicator. A hand points to the number of the days in the
month, 28, 29, 30 or 31; simple enough. But that belies the complexity of the
mechanism behind the display, which has to account for leap years in addition to
individual months of common years. This is far more practical than the leap year
calendar usually integrated into perpetual calendars; with this you can see at a
glance whether February has 28 or 29
days.
I give the 2007 Perpetual
Calendar with Equation of Time high marks for the winning design; it is
definitely one of the most attractive models in the current collection.
The designers at Daniel Roth succeeded in combining a
disparate array of design elements - spiral guilloché, Roman numerals,
a realistic moonphase and a partially skeletonised dial - into
a handsome watch. Of the 5 different perpetual calendar
watches Daniel Roth makes, this is my favourite (it used to be the instantaneous
perpetual but after seeing this that falls to a close second).
What do you think of the design?

Perpetual Calendar with Equation of Time in white gold
And by the way, "E=9.87sin2B - 7.53cosB - 1.5sinB" is the approximation of the equation of time, according to Wikipedia.
- SJX
