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Two nanosatellites of CubeSat form-factor with payload by Lomonosov Moscow State University are prepared for launch in the 2019 year. The payload of both CubeSats includes scintillator phoswich detector of charged particles and gamma rays for the energy release range 0.1…2.0 MeV and geometry factor ~50 cm2sr. One of the CubeSats contains also an optical detector, which consists of four SiPMs with input windows closed by different light filters. It provides Earth atmosphere observations in a band from UV to IR. These satellites should be launched onto the solar-synchronous orbit with relatively low altitude (500…550 km) that provides favorable conditions for the studying of space radiation in different areas of the near-Erath space including trapped radiation, electron precipitations from the Earth radiation belts, and detection of Atmosphere emissions. Small satellites are very useful for studying different kinds of physical phenomena, which can affect dangerously on spacecraft components and biological objects. Magnetosphere electrons flux dynamics is a very important factor of natural hazards in the near-Earth space. The scientific concept and mission setup of the CubeSat-based experiment for medium-term and long-term dynamics monitoring of the high-energy charged particle fluxes spatial distribution in large areas of the Earth radiation belts for space weather forecast will be presented. This includes, among others, the estimation of the general scientific concept of small-sat experiment, the determination of optimal orbits and orientations of spacecraft, the verification of technical requirements and specifications for measuring instruments (spectrometers of energetic protons and electrons), requirements for satellite platform and its components, ground segment, general mathematical modeling of the mission.