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    Re: Chile and deltaT
    From: Richard B. Langley
    Date: 2010 Mar 2, 16:48 -0400

    The change in LOD is 1.26 microseconds not milliseconds. See
    .
    -- Richard Langley
    
    
    Quoting P H :
    
    > http://www.msnbc.msn.com/id/35662192/ns/technology_and_science-space/?GT1=43001
    > 
    > According to this article the Chilean earthquake may shift the Earth's axis by 27
    > milliarcseconds, certainly nothing relevant for CelNav.
    > 
    > The expected change in the length of the day warrants a bit more attention, I think. 
    > If the day indeed shortens by 1.26 ms, as the article says, that would amount to a
    > fractional change of:
    > 
    > -1.26 ms / 1 day = -1.5e-8
    > 
    > Now leap seconds have been added at the average rate of 1 per 1.5 years, which yields
    > the fractional rate:
    > 
    > +1s / 1.5 years = +2.1e-8
    > 
    > These two rates are of the same order of magnitude then.  I am wondering whether this
    > would (and should) translate into a practical effect on the deltaT and on the rate at
    > which leap seconds are added.
    > 
    > And then, this paragraph caught my attention:
    > "One Earth day is about 24 hours long. Over the course of a year, the length of a day
    > normally changes gradually by one millisecond. It increases in the winter, when the
    > Earth rotates more slowly, and decreases in the summer, Gross has said in the past."
    > 
    > I did not know about this annual variation until now.  As a physicist who does NOT
    > work in the area of celestial mechanics, I would really like to understand where this
    > variation comes from.
    > 
    > Rotation is about angular momentum, which is conserved in an isolated system.  The
    > perigees and apogees of the lunar orbit do not correlate with seasons - as far as I
    > know (please correct me, wherever necessary).  Leap seconds are added because the
    > tidal friction gradually slows down Earth's rotation; the "lost" angular momentum is
    > picked up by the Moon which as a result is receding from us at about 4cm per year. 
    > So I don't think this is it.
    > 
    > In the (northern) winter the Earth is closer to the Sun and its orbital speed
    > increases.  Is there a tiny piece of angular momentum that gets deposited into and
    > withdrawn from Earth's rotation then during the course of a year?  On the other hand,
    > Earth's rotation is prograde (or normal? don't have Meeus's book with me here to
    > check terminology…), meaning that its orbital and rotational angular momenta are
    > parallel (with the difference of 23.5 degrees) rather than antiparallel.  Yet Gross
    > says that the day gets a bit LONGER in the winter…
    > 
    > Clearly I am missing something here.  I would really appreciate if NavList members
    > would be kind enough to elaborate on the subject.
    > 
    > 
    > Peter Hakel
    > 
    > 
    >       
    
    
    ===============================================================================
     Richard B. Langley                            E-mail: lang@unb.ca
     Geodetic Research Laboratory                  Web: http://www.unb.ca/GGE/
     Dept. of Geodesy and Geomatics Engineering    Phone:    +1 506 453-5142
     University of New Brunswick                   Fax:      +1 506 453-4943
     Fredericton, N.B., Canada  E3B 5A3
         Fredericton?  Where's that?  See: http://www.city.fredericton.nb.ca/
    ===============================================================================
    
    
    
    
    
    

       
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