Investigation of the influence of constant torque on equilibrium orientations of a satellite moving in a circular orbit with the use of computer algebra methods

DOI10.1134/s0361768823020093MaRDI QIDQ6094425

Vasily A. Sarychev, Sergey A. Gutnik

Publication date: 13 September 2023

Published in: Programming and Computer Software (Search for Journal in Brave)

zbMATH Keywords

Groebner basisbifurcation curvediscriminant hypersurfacesixth-order algebraic equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Orbital mechanics (70M20)

Cites Work

• Influence of constant torque on equilibria of satellite in circular orbit
• Symbolic-numeric simulation of satellite dynamics with aerodynamic attitude control system
• Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem
• Symbolic calculations in studying the problem of three bodies with variable masses
• Symbolic-numerical methods of studying equilibrium positions of a gyrostat satellite
• Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit
• Application of computer algebra methods for investigation of stationary motions of a gyrostat satellite
• Investigation of the restricted problem of three bodies of variable masses using computer algebra
• Parameterization of a set determined by the generalized discriminant of a polynomial
• Application of computer algebra methods to investigate the dynamics of the system of two connected bodies moving along a circular orbit
• Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses
• Parameterization of the discriminant set of a polynomial
• Application of Computer Algebra Methods to Investigation of Influence of Constant Torque on Stationary Motions of Satellite

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