Research into the Dynamics of a System of Two Connected Bodies Moving in the Plane of a Circular Orbit by Applying Computer Algebra Methods

被引：0
作者：
S. A. Gutnik
V. A. Sarychev
机构：
[1] MGIMO University,
[2] Moscow Institute of Physics and Technology (National Research University),undefined
[3] Federal Research Center Keldysh Institute of Applied Mathematics,undefined
[4] Russian Academy of Sciences,undefined
来源：
Computational Mathematics and Mathematical Physics | 2023年 / 63卷
关键词：
system of two bodies; circular orbit; Lagrange equations; equilibrium positions; algebraic equations; computer algebra; resultant; discriminant hypersurface;
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学科分类号：
摘要：
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页码：106 / 114
页数：8
相关论文
共 19 条
[1]  
Gutnik S. A.(2020)Application of computer algebra methods to investigation of stationary motions of a system of two connected bodies moving in a circular orbit Comput. Math. Math. Phys. 60 74-81
[2]  
Sarychev V. A.(2019)Application of computer algebra methods to investigate the dynamics of the system of two connected bodies moving along a circular orbit Program. Comput. Software 45 51-57
[3]  
Gutnik S. A.(2021)Symbolic computations of the equilibrium orientations of a system of two connected bodies moving on a circular orbit around the Earth Math. Comput. Sci. 15 407-417
[4]  
Sarychev V. A.(1999)Equilibria of two axisymmetric bodies connected by a spherical hinge in a circular orbit Cosmic Res. 37 167-171
[5]  
Gutnik S. A.(1967)Positions of relative equilibrium for two bodies connected by a spherical hinge in a circular orbit Cosmic Res. 5 314-317
[6]  
Sarychev V. A.(1976)Optimal parameters of passive systems for satellite orientation Cosmic Res. 14 183-193
[7]  
Sarychev V. A.(1976)Optimal parameters for a gravity-gradient satellite stabilization system Cosmic Res. 14 193-202
[8]  
Sarychev V. A.(1976)Plane oscillations of a gravitational system satellite-stabilizer with maximal speed of response Acta Astronaut. 3 651-669
[9]  
Sarychev V. A.(2022)Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit Program. Comput. Software 48 73-79
[10]  
Sazonov V. V.(2016)Parameterization of the discriminant set of a polynomial Program. Comput. Software 42 65-76
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