Lunar eclipses in Europe, 900-2200

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Celestial Mechanics, Chronology, Lunar Eclipses, Orbit Calculation, Umbras, Computer Programs, Ephemerides, Europe, Histories, Poland

Scientific paper

A complete survey of past and future umbral eclipses of the moon visible in Europe is presented in a tabular form. It contains full details of the local circumstances of 1705 eclipses for the geographical location of Warsaw (Poland). Of these, 502 end or begin 0 to 25.5 degrees below the astronomial horizon at Warsaw, thus are observable only at other European places. A set of simple formulas is given that makes it possible to calculate the local circumstances for arbitrary location. A new simple and accurate algorithm to compute the times of contacts, which is based on a solution on a sphere instead of on a tangent plane, thus without the use of the Besselian elements, is presented.

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