Monomial matrices. Application to the programmed transfer and rotation

Monomial matrices. Application to the programmed transfer and rotation

Part 3

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A special mathematical apparatus of monomial matrices, is applied to the simulation of programmed transfer and rotation of a high-speed vehicle in space. Programmed transfer is described by a vector-hodograph in the class of spiral-helix trajectories. A method for constructing the hodograph of programmed motion is proposed. The kinetics of the programmed motion of a transport vehicle is considered in the forms of the Newton equations, Euler equations, Euler-Lagrange differential equations and is represented by quaternion matrices. The principle of kinetostatics is applied to the determination ...