Page 10 - 2008 DT 12 issues
P. 10

It’s About Time                      up a little bit short every year.    time that brings the observed positions
                                                 This  is  where  things  get  a  bit  of the celestial bodies into accord with
        ‘If you knew Time as well as I do,’   complicated. Earth’s orbit is elliptical,  the  Newtonian  dynamical  theory  of
        said the Hatter, ‘you wouldn’t talk   carrying us varying distances from the  motion.” Phew! For the year 1900, the
                                             sun, faster and slower as we go along.  tropical (solar) year was measured as
        about wasting it.’
                                             The sun’s gravitational pull, the tidal ef-  31,556,925.9747 seconds. Divide that
                                             fects of the moon, earthquakes, etc., all  number by 86,400 (mean solar day) and
              ime. If only we could stretch it   serve to affect our journey. If we didn’t  you’ll get 365.24 days! Our days are still
              just a little. We could certainly   leap to make up the unaccounted for  24 hours long by our clocks (civil time),
        Tuse the extra sleep. For each of    time, we’d be one whole day (minus a  but a bit longer in ET.
        the last four years, we’ve been deprived   few minutes) short in our solar year over   Even more precise timekeeping be-
        of the almost-quarter-day to which we   four years. There are boring exceptions  came available with the development of
        are entitled. This year we’re in luck. Be-  to when to leap or not. Most years that  the first atomic clock in 1949. In 1967,
        cause 2008 is a leap year, we’re finally   can be divided by 4 are leap years, ex-  the atomic second (our current standard)
        going to cash in those accumulated extra   cept for century years, unless they can be  made its official debut, defined by the
        hours and get to sleep-in for one whole           divided by 400. We leapt  oscillations of two closely spaced energy
        day if we choose! Why not?                         in 2000, but won’t leap  levels of the cesium-133 atom. Atomic
            What  can  you  do  with                       in  2100.  (Keep  your  clock time, expressed as Coordinated
        365.2422 (or so) days anyway?                      scorecard handy.)      Universal Time (UTC), is uniform over
        After 100 years, you’d have an                         Forgetting all those  a period of millions of years and is the
        additional 24 days added to                        rules, the world is seri-  current basis for civil time. This relation-
        the calendar, but the seasons                      ously dependent upon  ship between the atomic second and the
        wouldn’t quite match up. On                        knowing exactly what  ephemeris second has been restated to
        the bright side, you’d have 24                     time it is. The second  make their values equivalent, because
        more days to exchange those                        is  the  basis  for  mod-  Earth’s rotation is decelerating, due to
        Christmas presents you didn’t                      ern timekeeping. Until  the breaking actions of ocean tides, by
        want. By keeping the calendar                      1954,  the  second  had  roughly 1.4 milliseconds per day per
        year at a convenient 365 days                      been defined as 1/86,400  century. The length of a mean solar
        and ignoring the extra 5 hours, 48 min-  of a mean solar day or the average time  day based on the Earth’s rotation is now
        utes, 45.51 seconds it actually took Earth   it takes the Earth to make one complete  measured at 86,400.02 seconds, which
        to come back to “zero position” each of   rotation on its axis over a period of  adds up over a year to about a minute.
        the last four years (including the last leap   years—not precise enough as a standard  In order to keep the cumulative time
        year), you get to squander all those accu-  of time.                      difference between the two time systems
        mulated hours in one lump on Leap Day,   A  new  standard  for  the  second,  to 0.9 seconds or less, one leap second
        February 29, 2008. The time is yours to   known as the ephemeris second, was  is inserted into the UTC time scale once
        spend any way you want. Enjoy!       defined in terms of the solar or tropical  or less per year, usually after the last
            A solar year represents the time   year,  the  “period  of  Earth’s  revolu-  second of December, or alternatively,
        it takes Earth to make one complete   tion  around  the  sun  for  a  particular  after the last second of June.
        revolution around the sun. It is measured   epoch.” Astronomical observations of   Since  the  first  leap  second  was
        as the mean time between two vernal   the Earth’s motion for the epoch year  inserted in 1972, there have been 23
        equinoxes,  when  the  sun  is  directly   of 1900 defined the ephemeris second  leap seconds added in the 34 years up
        above  the  Earth’s  equator,  crossing  as 1/31,556,925.9747 of a solar year.  to January 2006. You may be happy (or
        from the southern hemisphere to the  Historic observations of the motion of  not) to learn that we did not have to add
        northern hemisphere. Each 365 days,  the sun with regard to the motions of  a leap second on December 31, 2007 to
        one  complete  revolution  around  the  other celestial bodies over the last two  our atomic clocks. Adding leap seconds
        sun is supposed to land us in exactly the  centuries provided a formula to establish  has become  controversial. Concerns
        same position we started with at the last  the mean length for the solar year in  over complications with GPS monitor-
        vernal equinox. Unfortunately, we come  ephemeris time (ET), the “measure of  ing and other ultra-precise equipment

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