A new analytical method of estimation of rigid wing characteristics during its non-stationary movement was worked out. General mathematical expressions were obtained for thrust, power and efficiency for rigid wing during linear and angular oscillations of high amplitude. The phase angle between them is considered to be arbitrary. These expressions can be useful for estimation of thrust and power produced by the wing with the help of simple calculation. Moreover general mathematical expressions were converted into simple design formulas, with the help of which it is possible to estimate thrust, power and efficiency using a simple engineering calculator. The results of the calculations of hydrodynamic characteristics of some wings were compared with numerical calculations mentioned in some publications. An agreement was achieved in a wide interval of Strouhal number. The received design formulas were used for estimation thrust characteristics of dolphin's fluke. Two possible modelsof dolphin's fluke flexibility were analyzed. This analytical method can be used for calculations of ship swimming movers. The book can be useful for engineers in ship constructing.