Astronomical School’s Report, 2016, Volume 12, Issue 2, Pages 105–110

Download PDF

UDC 528.2.629.78+550.388.2

Modelling of ionospheric time state using regular TEC observations

Peresunko B.O., Nedohonova A.M., Kramarenko S.O., Juman B.B., Yankiv-Vitkovska L.M.

Abstract

The use of a network of active reference stations to establish the numerical characteristics of the Earth's ionosphere allows you to create an effective ionosphere monitoring technology on a regional scale, designed to address the scientific challenges of space weather and practical problems of geodetic-class coordinate support. We propose an algorithm to recover the time state of the ionosphere using regular observations of the TEC parameter (VTEC – Vertical TEC) for permanent SULP station. One possible way of solving this problem is based on mathematical modeling using power polynomials and trigonometric Fourier series. Power polynomials describe the trend of function, whereas the trigonometric Fourier series help us to simulate the fluctuation better.

Keywords: ionosphere; ionosphere parameters; degree polynomials; trigonometric Fourier series

References

  1. Tikhonov A.N., Arsenin V.Ya. (1979). Metody resheniya nekorrektnykh zadach. M.: Nauka. 288 p.
  2. Matviychuk Ya.M. (2000). Matematychne makromodeliuvannia dynamichnykh system: teoriya ta praktyka. L’viv: Vydavnychyy tsentr LNU im. Ivana Franka. 215 p.
  3. Yankiv-Vitkovs’ka L.M. (2012). Pro obchyslennia parametriv ionosfery za dopomohoyu spetsi’al’noho alhorytmu: pershi rezul’taty. Kosmichna nauka i tekhnolohiya, 18(6), 73–75.
  4. Yankiv-Vitkovs’ka L.M. (2014). Metodyka userednennia danykh dlia pobudovy rehional’noyi modeli ionosfery. Heodeziya, kartohrafiya i aerofotoznimannia, 35–41.
  5. Yankiv-Vitkovs’ka L.M. (2013). Pro doslidzhennia parametriv ionosfery dlia GNSS-stantsiy SULP, RVNE ta SHAZ. Heodeziya, kartohrafiya i aerofotoznimannia, 169–172.
  6. Yankiv-Vitkovs’ka L.M., Matviychuk Ya.M., Savchuk S.H., Pauchok V.K. (2012). Doslidzhennia zmin koordynat GNSS-stantsiy metodom makromodeliuvannia. Visnyk heodeziyi ta kartohrafiyi, 2012(3), 9–17.
  7. Yankiv-Vitkovs’ka L.M., Pauchok V.K. (2012). Pro koreliatsiynyy zvyazok heodezychnykh i heoseysmichnykh protsesiv. Suchasni dosiahnennia heodezychnoyi nauky ta vyrobnytstva, 188–190.
  8. Klobuchar J.A., Kunches J.M. (2000). Eye on the ionosphere: the spatial variability of ionospheric range delay. GPS Solutions, 70–74.
  9. Klobuchar J. (1987). Ionospheric time-delay algorithm for single-frequency GPS users. IEEE Transactions on Aerospace and Electronics System, 325–331.
  10. Bidaine B., Warnant R. (2010). Assessment of the NeQuick model at mid-latitudes using GNSS TEC and ionosonde data. Advances in Space Research, 1122.
  11. http://www.tesis.lebedev.ru/magnetic_storms.html

Download PDF