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Helios
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I discovered an eclipse cycle. It will be called the Wells cycle ( Garrick Wells ). It is simply a cycle of 51649 days. I believe that if you see an eclipse, then 51649 days later, another will likely be seen from your same location. I've have indeed found an example of this while probing the NASA Phases-of-the-Moon web site. The series lasted seventeen centuries, with just one fail. Should someone offer some explanation, I'd love to hear it.