Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit

DOI10.1134/S0361768822020050zbMath1496.70005MaRDI QIDQ2142972

Sergey A. Gutnik, Vasily A. Sarychev

Publication date: 30 May 2022

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

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Two-body problems (70F05)

Related Items (3)

Research into the dynamics of a system of two connected bodies moving in the plane of a circular orbit by applying computer algebra methods ⋮ 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 ⋮ Investigation of the dynamics of two connected bodies in the plane of a circular orbit using computer algebra methods

Cites Work

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• Parameterization of a set determined by the generalized discriminant of a polynomial
• Computation of the resonance set of a polynomial under constraints on its coefficients
• 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
• Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group
• Parameterization of the discriminant set of a polynomial

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