An approach to trend analysis in data with special reference to cometary magnitudes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Brightness Distribution, Comets, Magnitude, Trend Analysis, Data Reduction, Mathematical Models, Normal Density Functions, Solar Orbits

Scientific paper

A novel trend-analysis method is presently developed in association with a Pareto power-law model used by Donnison (1986, 1987, 1990) to model the brightness magnitude distribution of long and short-period comets. Compelling evidence is found for an increase in the brightness indices with the discovery rate of the long-period comets. No trend is discernible as a function of perihelion distance; neither are trends apparent in the brightness distribution of the short-period comets with increased orbital period.

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