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Algorithm for computing program values of angular velocity vector components during spacecraft terminal spatial turn in the inertial coordinate system

Authors: Zubov N.E., Li E.K., Li M.V., Mikrin E.A., Poklad M.N., Ryabchenko V.N. Published: 23.12.2015
Published in issue: #6(105)/2015  
DOI: 10.18698/0236-3933-2015-6-3-20

 
Category: Aviation, Rocket and Space Engineering | Chapter: Dynamics, Ballistics, Flying Vehicle Motion Control  
Keywords: kinematic equations, quaternions, boundary value problem, modal control, identification

For kinematic equations of a spacecraft rotatory motion in quaternions, the authors find an analytical solution to the problem of determining the program values of angular velocity vector components during the spacecraft terminal spatial turn in the inertial coordinate system. The authors synthesize an algorithm for solving this problem by applying the method earlier used by them for solving the boundary value problem, which is based on the discrete model parameter identification with the help of a modal control. The numerical examples are used to prove that for 8...10 iterations, the components values of the angular rotational velocity vector almost converge to the steady-state (program) values.

References

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