About the optimal multiroute sensing problem for an earth remote-sensing satellites

The article deals with the problem of optimal multiroute sensing of survey areas by the Earth remote sensing spacecraft. The elements of the optimal coatings theory are summarized in this paper. Also it is reviewed the problem’s statement variant of the optimal coating by strips of two-dimensional domains with arbitrary boundaries as part of that theory. The complete mathematical model of the single route in the «push broom»-mode is given. It is formulated a new application task of multiroute sensing area survey based on a mathematical model of the optimal coatings theory.