Brightness Changes in Periodic Comets

Mathematics – Probability

Scientific paper

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Scientific paper

Visual brightness estimates of Comets Encke and Faye are corrected for aperture of telescope by a formula due to Öpik, and reduced to absolute magnitude H. A secular decrease in absolute brightness is indicated for both. On the assumption of a linear decrease with time in the diameter and brightness of an icy nucleus, "death dates" of 1991-2000 for Encke and 1978-1985 for Faye were found. The possible dependence of absolute magnitude fluctuations on solar activity is examined by plotting residuals from the magnitude curve against the mean monthly sunspot number for Comet Encke. No correlation is found. The observed occurence of tail or nucleus for Comet Encke is studied in relation to solar activity. The observations at 45 apparitions are divided into two groups at sunspot number SS = 36, and examined with a four-choice diagram; tail : no tail : SS > 36 : SS < 36. The χ2 test indicates a correlation with greater than 99.9% probability. The occurrence of a nucleus is strongly correlated with the presence of a tail (>99.9% probability) and less strongly correlated with the sunspot number (>95% probability). The obvious physical agent to produce the variable tail and nucleus phenomena is the solar wind

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