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Going through http://earthsky.org/…/dates-of-next-lunar-and-solar-eclipses I made the (what was for me - momentous) discovery that

March 20, 2015 - New moon - is a Solar Eclipse, and that the succeeding April 04, 2015 - Full moon - heralds a Lunar Eclipse.

  • Is it common that both New/Full moon in a fort-night cause an eclipse?
  • When was the last time an Eclipse occurred back-to-back on a consecutive New Moon/Full Moon?
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    $\begingroup$ There is something strange about your dates. All the news has a solar eclipse on the spring equinox, March 20. $\endgroup$
    – LDC3
    Mar 21, 2015 at 1:42

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As written here:

Another oddity of nature is that solar eclipses and lunar eclipses tend to come in pairs – a solar eclipse always takes place about two weeks before or after a lunar eclipse.

And here:

Rules of Eclipses (Solar and Lunar) ... Eclipses tend to go in pairs or threes : solar-lunar-solar. Lunar eclipse always preceeded by or followed by a solar eclipse (two weeks between them)

So, seems like a totally common thing.

P.S. The previous pair was first lunar on Oct 8, 2014, and then solar on Oct 23rd.

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