Abstract. The problem of reconstructing the two-dimensional distribution of electron concentration of the ionosphere in the plane of the orbit of a cluster of satellites is considered. Solution to the problem is be-lieved to allow for an operative monitoring of the ionosphere state. To solve the problem, a method of tomographic reconstruction of two-dimensional electron density distribution based on the convolution algorithm is proposed. The method includes three stages: formation of an initial approximation to the electron concentration; redefining the missing projection data in the radon image of a priori information about its form; application of the known convolution algorithm. Accuracy of the proposed method is analyzed using results of statistical modeling. The quality of recovery of small local disturbances is estimated.

Keywords: ionosphere tomography, earthquake precursors, convolution method, satellite monitoring, statistical modeling

References:

1. Kunitsyn V.E., Tereshchenko E.D., Andreyeva E.S. Radiotomografiya ionosfery (Radiotomography of the Ionosphere), Moscow, 2007, 336 р. (in Russ.) 2. Herman G.T. Fundamentals of Computerized Tomography. Image Reconstruction from Projections, London, Springer-Verlag Lim., 2009, 297 p. 3. Pulinets S.A., Uzunov D.P., Davidenko D.V., Dudkin S.A., Tsadikovskiy Ye.I. Prognoz zemletryaseniy vozmozhen?! (Earthquake Forecast Possible?!), Moscow, 2014, 144 р. (in Russ.) 4. Romanov A.A., Trusov S.V., Urlichich Yu.M. Sputnikovaya radiotomografiya ionosfery (Satellite Radio Tomography of the Ionosphere), Moscow, 2013, 296 р. (in Russ.) 5. Nikolayev P.N. Fundamental'nyye i prikladnyye kosmicheskiye issledovaniya (Fundamental and Applied Space Research), The 15th Conference of Young Scientists, Moscow, 2018, рр. 73–80. (in Russ.) 6. Giovanni G.Di., Radicella S.M. Advances in Space Research, 1990, nо. 11(10), рp. 27–30. 7. Bracewell R.N., Riddle A.C. Astrophys. J., 1975, vol. 150, рр. 427–434. 8. Ramachandran G.N.V, Lakshminarayanan A.V. Proc. Natl. Acad. Science., USA, 1971, vol. 68, рр. 2236–2240.