Baily's beads
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The lunar topography is non-smooth (mountains, craters, valleys, etc.). The lunar limb profile is also known accurately from grazing occultations of stars. So in advance of the eclipse we have a fairly good idea which mountains and valleys will cause the beads to appear. While Baily's Beads are briefly seen for a few seconds at the central path of the eclipse, their effect is maximized near the eclipse limits to 1-2 minutes.
External link
http://sunearth.gsfc.nasa.gov/eclipse/TSE98reports/TSE98Nugent.html