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High energy cosmic rays detection from low earth orbit (for example TUS and JEM-EUSO projects) requires development of special optic systems (OS). Characteristics of these OS largely differ from astronomical cosmic telescope ones: wider field of view, relatively lower angular resolution, a few numbers of optic components. New Russian project on board of International Space Station – KLYPVE – aims to spectral measurements of transient luminous events as well. In this paper we offer one (generalized Davies-Cotton systems) and two components OS allowing to realize such multipurpose research.