Abstract
This paper presents an algorithm, designed to maximize the energy reserve of satellites, based on the method of Lagrange multipliers, which allows calculating a timeline that will ensure the minimum energy loss. Given the classification for subsystems - members of energy balance, their approximate timelines and features of their including in the algorithm. Shown the principles of formation for maximizing expression and system limitations. Showing results for assessing the proposed algorithm on the satellite KPI POLYTAN-1. References 3, tables 2.
References
Sandau, Rainer, Roeser, Hans-Peter, Valenzuela, Arnoldo (Eds.). Small Satellites for Earth Observation. Springer, 2008.
Akulich I.L. Mathematical programming in examples and problems. − Moskva: Vysshaia Shkola, 1986. − 319 p. (Rus).
Zorich V.A. Mathematical analysis. Part 1. − Moskva: FAZYS, 1997. (Rus)

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