Barometric Coefficient Calculation

     The method of defining the barometric coefficient of the different components of secondary cosmic rays has been studied by many authors in the past (Carmichael et.al., 1968; Dorman, 1972; 1974). Specifically, the affection of the barometric pressure to the counting rate of neutron monitors can be represented by:

     (1),

where dN is the change of detector counting rate (due to pressure change), dP is the change of pressure and β is the barometric coefficient. By integrating this expression and supposing that for pressure Po the counting rate is No, the counting rate N of the detector is:

 =>

   (2),

where P is the current atmospheric pressure.

The equation (2) is valid when the incoming cosmic ray flux is stable, so any variation of the detector counting rate is only due to the change of barometric pressure. In the case that there are variations in the cosmic ray flux, the equation (2) has the form:

 =>

     (3),

where ν is the variation of the cosmic ray flux. In order to calculate the variation ν, the corrected for pressure data of a reference station (S) are used (Chiba, 1976). The station (S) should have similar cut-off thresholds to the main station in order to assume that they both have similar cosmic ray spectra. The primary variation of cosmic rays for the reference station is:

    (4)

Since equation (4) includes the corrected for pressure data of the reference station, the change to ν is only related to the change of cosmic ray flux. In order to transform the primary variation of the reference station to the variation of the main station, coupling coefficients are used (Belov et al., 1993). If the coupling coefficients of the zero harmonic are C0 and C0S      for the main and reference station respectively, equation (3) becomes:

 

    (5)

 

Equations (2) and (5) can be used to experimentally calculate the barometric coefficient β by applying a linear regression on the measured values of N and P for a specific time period. The parameters No and Po are the average values of counting rate and atmospheric pressure respectively, over the defined time period. More details of this method are given in Kobelev et al. (2011).

 

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