2014Geomagnetism and AeronomyRequires access

Interrelation between the amplitude and length of the 11-year sunspot cycle

E. V. Miletsky, V. G. Ivanov

Open publisher page 4 citations

Abstract

Alternative procedures for determining the length (duration) of the 11-year sunspot cycle are considered. For cycles 12–23 it is shown that the cycle and the cycle growth branch latitudinal lengths are much more closely related to the cycle amplitude than similar traditional lengths, if the time when the exponent, describing the average sunspot latitude drift, reaches the “reference” latitude value (the latitude phase reference time) is selected as a cycle starting time. Two relationships are obtained. The first relationship makes it possible to rather accurately determine the cycle amplitude based on information about two cycle time intervals: the shift in the latitude phase reference point and the cycle latitudinal length. The second relationship relates the value of the interval between the above exponents of adjacent cycles to the cycle amplitudes. The found relationships between the important amplitude, latitude, and time parameters of the 11-year solar magnetic cycle should be taken into account in the construction of adequate physical models.

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What this paper is about

Alternative procedures for determining the length (duration) of the 11-year sunspot cycle are considered. For cycles 12–23 it is shown that the cycle and the cycle growth branch latitudinal lengths are much more closely related to the cycle amplitude than similar traditional lengths, if the time when the exponent, describing the average sunspot latitude drift, reaches the “reference” latitude value (the latitude phase reference time) is selected as a cycle starting time. Two relationships are obtained. The first relationship makes it possible to rather accurately determine the cycle amplitude based on information about two cycle time intervals: the shift in the latitude phase reference point and the cycle latitudinal length. The second relationship relates the value of the interval between the above exponents of adjacent cycles to the cycle amplitudes. The found relationships between the important amplitude, latitude, and time parameters of the 11-year solar magnetic cycle should be taken into account in the construction of adequate physical models.

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Available abstract

Alternative procedures for determining the length (duration) of the 11-year sunspot cycle are considered. For cycles 12–23 it is shown that the cycle and the cycle growth branch latitudinal lengths are much more closely related to the cycle amplitude than similar traditional lengths, if the time when the exponent, describing the average sunspot latitude drift, reaches the “reference” latitude value (the latitude phase reference time) is selected as a cycle starting time. Two relationships are obtained. The first relationship makes it possible to rather accurately determine the cycle amplitude based on information about two cycle time intervals: the shift in the latitude phase reference point and the cycle latitudinal length. The second relationship relates the value of the interval between the above exponents of adjacent cycles to the cycle amplitudes. The found relationships between the important amplitude, latitude, and time parameters of the 11-year solar magnetic cycle should be taken into account in the construction of adequate physical models.

Key concepts: Amplitude, Latitude, Sunspot, Solar cycle, Solar cycle 24, Solar minimum, Physics, Interval (graph theory)

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