Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses

DOI10.1134/S0361768819020087zbMath1459.70029OpenAlexW2947180992WikidataQ114847359 ScholiaQ114847359MaRDI QIDQ2216914

S. A. Shomshekova, Mukhtar Minglibayev, Alexander N. Prokopenya

Publication date: 18 December 2020

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

Full work available at URL: https://doi.org/10.1134/s0361768819020087

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Three-body problems (70F07) Random vibrations in mechanics of particles and systems (70L05)

Related Items (5)

Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit ⋮ Study of secular perturbations in the restricted three-body problem of variable masses using computer algebra ⋮ 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 ⋮ A study of secular perturbations of translational-rotational motion in a nonstationary two-body problem using computer algebra ⋮ Symbolic-analytic methods for studying equilibrium orientations of a satellite on a circular orbit

Uses Software

• Mathematica

Cites Work

• Symbolic-numerical analysis of the relative equilibria stability in the planar circular restricted four-body problem
• Three-body problem with variable masses that change anisotropically at different rates
• Hamiltonian normalization in the restricted many-body problem by computer algebra methods
• Symbolic-numerical analysis of equilibrium solutions in a restricted four-body problem
• 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
• Investigation of the restricted problem of three bodies of variable masses using computer algebra
• Symbolic computation in studying stability of solutions of linear differential equations with periodic coefficients
• Some symbolic computation algorithms in cosmic dynamics problems
• Stability of the planar equilibrium solutions of a restricted \(1+N\) body problem
• Gylden-Meščerskii problem
• Solar System Dynamics
• NUMERICAL-SYMBOLIC METHODS FOR SEARCHING RELATIVE EQUILIBRIA IN THE RESTRICTED PROBLEM OF FOUR BODIES
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