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Sun, Moon and Earth

35 35 Eclipses repeat after 18 years, a third of the way west round the globe, and displaced slightly north or south two Saros families of Solar eclipses are shown above. Below we see the midpoint curves of two Saros families of Lunar eclipses. 34 SaroS PatternS a trilateral evolution All Saros eclipse families first make an appearance at one of the poles, gradually evolving into equatorial regions before eventually dying out at the other pole below. The time difference between the Saros and 19 eclipse years 0.46 days causes each new member to be displaced about half a degree further west with respect to the nodes. Thus the family takes about 36 Saros cycles 650 years to reach the node B and thereafter departs from it in the same time, slowly dissipating below top every 7th Saros shown. The patterns made by these metamorphosing families of eclipses solar or lunar form threefold motifs on the Earth, due to the fact that each consecutive Saros period 223 lunations is 6585.321 days in length, the fractional component being about one third of a day or Earth rotation out of alignment. The midpoints of the paths of totality for every third member may be joined up to reveal this threefold pattern. The resulting gizmos are called exelegismos curves opposite, dotted top for solar and solid lower for lunar eclipses.
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