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- Sergey A. Gutnik
- CASC
- 2011

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)

- Sergey A. Gutnik, Vasily A. Sarychev
- CASC
- 2013

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)

- Sergey A. Gutnik, Vasily A. Sarychev
- CASC
- 2016

- Sergey A. Gutnik, Vasily A. Sarychev
- Programming and Computer Software
- 2014

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)

- Sergey A. Gutnik, Anna Guerman, Vasily A. Sarychev
- CASC
- 2015

- Sergey A. Gutnik, Vasily A. Sarychev
- Programming and Computer Software
- 2017

With the help of computer algebra methods, properties of a non-linear algebraic system that determines the equilibrium orientations of a gyrostat satellite moving along a circular orbit were investigated. The main attention is paid to the study of equilibrium orientations of the satellite with given principal central moments of inertia and given gyrostatic… (More)

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