>From the web page:  
>http://sunearth.gsfc.nasa.gov/eclipse/SEhelp/SEgeometry.html

"Eclipse geometry is complicated by the fact that Earth's orbit around the Sun
is elliptical. As a result, the Sun's apparent semi-diameter varies from 944
arc-seconds at aphelion to 976 arc-seconds at perihelion. This 3% range in
apparent size is, of course, quite indistinguishable to the naked eye."

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