Investigation of the restricted problem of three bodies of variable masses using computer algebra

DOI10.1134/S0361768817050061zbMath1476.70027OpenAlexW2754324490WikidataQ114847367 ScholiaQ114847367MaRDI QIDQ2216847

G. M. Mayemerova, Zh. U. Imanova, Alexander N. Prokopenya, Mukhtar Minglibayev

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1134/s0361768817050061

zbMATH Keywords

restricted three-body problem

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 (6)

Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit ⋮ Derivation of evolutionary equations in the many-body problem with isotropically varying 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 ⋮ MODELLING THE EVOLUTION OF THE TWO-PLANETARY THREE-BODY SYSTEM OF VARIABLE MASSES ⋮ Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses ⋮ Symbolic-analytic methods for studying equilibrium orientations of a satellite on a circular orbit

Uses Software

• Mathematica

Cites Work

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• 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
• Symbolic computation in studying stability of solutions of linear differential equations with periodic coefficients
• Some symbolic computation algorithms in cosmic dynamics problems
• On Integrability of Evolutionary Equations in the Restricted Three-Body Problem with Variable Masses
• Gylden-Meščerskii problem
• Non-restricted double-averaged three body problem in Hill's case
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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