Wolf number

The Wolf number (also known as the International sunspot number, relative sunspot number, or Zürich number) is a quantity which measures the number of sunspots and groups of sunspots present on the surface of the sun.

Wolf number since 1750.

The idea of computing sunspot numbers was originated by Rudolf Wolf in 1849 in Zürich, Switzerland and, thus, the procedure he initiated bears his name (or place). The combination of sunspots and their grouping is used because it compensates for variations in observing small sunspots.

This number has been collected and tabulated by researchers for around 300 years. They have found that sunspot activity is cyclical and reaches its maximum around every 9.5 to 11 years (note: Using data from SIDC for the last 300 years and running a FFT function on the data gives an average maximum at 10.4883 years/cycle). This cycle was first noted by Heinrich Schwabe in 1843.

The relative sunspot number is computed using the formula (collected as a daily index of sunspot activity):


where R is the relative sunspot number, s is the number of individual spots, g is the number of sunspot groups, and k is a factor that varies with location and instrumentation (also know as the observatory factor).

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