Application of computer algebra methods to investigation of stationary motions of a system of two connected bodies moving in a circular orbit

DOI10.1134/S0965542520010091zbMath1476.70012OpenAlexW3014050310MaRDI QIDQ2206410

Vasily A. Sarychev, Sergey A. Gutnik

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520010091

zbMATH Keywords

Gröbner basiscomputer algebraLagrange equationsequilibrium positionscircular orbitsystem of two bodies

Mathematics Subject Classification ID

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

Related Items (6)

Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit ⋮ Research into the dynamics of a system of two connected bodies moving in the plane of a circular orbit by applying computer algebra methods ⋮ Computer algebra methods for searching the stationary motions of the connected bodies system moving in gravitational field ⋮ Investigation of the dynamics of two connected bodies in the plane of a circular orbit using computer algebra methods ⋮ Symbolic computations of the equilibrium orientations of a system of two connected bodies moving on a circular orbit around the Earth ⋮ On equilibrium positions in the problem of the motion of a system of two bodies in a uniform gravity field

Uses Software

• Unnamed Item

Cites Work

• Application of computer algebra methods to investigate the dynamics of the system of two connected bodies moving along a circular orbit
• Damping of a Gravitationally Oriented Two-Body Satellite
• Plane oscillations of a gravitational system satellite-stabilizer with maximal speed of response

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