Sergey A. Gutnik

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An approach for symbolic-numeric stability analysis of equilibrium orientations of a satellite in a circular orbit under the influence of gravitational and aerodynamic forces is considered. The stationary motions of a satellite are governed by a system of nonlinear algebraic equations. A computer algebra method based on an algorithm for the construction of(More)
Dynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is studied. A symbolic-numerical method for determination of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. A computer algebra(More)
Methods of computer algebra are used to study properties of a nonlinear algebraic system that determines equilibrium positions of a gyrostat satellite moving along a circular orbit. Bifurcation values of parameters such that the number of equilibrium positions changes are found numerically. Detailed numerical analyses of evolution of existence domains of(More)
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