N_{m}F2 Local Empirical Model Above Kaliningrad
Markov A.V., I. Kant Baltic Federal University, email: aleksandr_markov_94@mail.ru
Klimenko M.V., Kaliningrad Branch of Pushkov IZMIRAN, email: maksim.klimenko@mail.ru
Abdullaev A.R., Kant Baltic Federal University, email: alish3@mail.ru
Pustovalova L.V., Pushkov IZMIRAN, email: pustoval@izmiran.ru
Korenkova N.A., Kaliningrad Branch of Pushkov IZMIRAN, email: ninakoral@gmail.com
Leshchenko V.S., Kaliningrad Branch of Pushkov IZMIRAN


To create a local model of the electron density at F2 layer maximum of the ionosphere, N_{m}F2, over Kaliningrad, the data of the
magneticionospheric observatory in the Ulyanovka village (25 km from Kaliningrad) for the period 20082015 were used.
In the model, daily (monthly) variations of N_{m}F2 are calculated for each month as a function of solar and geomagnetic activity.
As an index of solar activity, the index F_{10.7}, was taken from the Website
lasp.colorado.edu/lisird/tss/noaa_radio_flux.html,
which was averaged over 27 days, including 26 days preceding the day of measurement.
To describe the dependence of N_{m}F2 on geomagnetic activity, the daily average of the Ap index was calculated over 27 days,
the data for which were taken from the Website
wdc.kugi.kyotou.ac.jp/kp/index.html.
For the construction of the model, 27day median (midday 22) daily N_{m}F2 variations were obtained for 12 months of each year in the 20082015.
For each hour of local time (LT) and every month, based on the obtained N_{m}F2 values and F_{10.7} by the least squares method,
linear regression coefficients were calculated that determine the dependence of the N_{m}F2 values on solar activity in the following
form
<N_{m}F2>_{27} = a_{0} + a_{1} × (<F_{10.7}>_{27}  70).
In this representation, the coefficient a_{0} has the meaning of the N_{m}F2 value in the minimum of solar activity
at <F_{10.7}> _{27} = 70, and the coefficient a_{1} determines the N_{m}F2 dependence on solar activity.
In addition, on the basis of the same data and averaged Ap index by the method of least squares, the coefficients of the double linear regression
determining the N_{m}F2 dependence on the solar and geomagnetic activity from the formula
<N_{m}F2>_{27} =
b_{0} + b_{1} × (< F_{10.7}>_{27}  70) + b_{2} × (<Ap>_{27}  4).
In this representation, the coefficient b_{0} determines the N_{m}F2 values in the minimum of solar activity
at <F_{10.7}>_{27} = 70 and minimum of geomagnetic activity at <Ap>_{27} = 4, the coefficient
b_{1} determines the N_{m}F2 dependence on solar activity, and the coefficient b_{2} determines
the N_{m}F2 dependence on the geomagnetic activity.
For the described dependencies, the mean square deviation of the observations from the results of linear regression was calculated by the formula,
where <N_{m}F2>_{27} = a_{0} + a_{1} × (<F_{10.7}>_{27}  70)
is the result of linear regression, and <N_{m}F2>_{27} are the averaged values of the observation data.
MSE for linear regression is not greater than MSE for a double linear regression.
In the online version of the local empirical model of the N_{m}F2 over Kaliningrad, the user has the opportunity to consider
or not take into account the N_{m}F2 dependence on geomagnetic activity.
To obtain the results, user must select the month from 1 to 12, set the values of solar and geomagnetic activity indices averaged
over the previous 27 days. The local model calculates for the selected or each hour of LT the N_{m}F2 value and the standard deviation.
ACKNOWLEDGEMENTS
We thank the coworkers of the Kaliningrad MagneticIonospheric Observatory for the ionospheric data and the NOAA command for providing
data on the solar activity index F_{10.7}
( www.ngdc.noaa.gov/stp/ GEOMAG/kp_ap.html ).
The work was carried out with the financial support of the program to improve competitiveness "5100" I. Kant BFU.
REFERENCES

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