Computing perturbations in the two-planetary three-body problem with masses varying non-isotropically at different rates

DOI10.1007/s11786-019-00437-0zbMath1456.70025OpenAlexW2996586451WikidataQ126555973 ScholiaQ126555973MaRDI QIDQ782668

Mukhtar Minglibayev, Saule Shomshekova, Alexander N. Prokopenya

Publication date: 28 July 2020

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-019-00437-0

zbMATH Keywords

three-body problemperturbationsWolfram Mathematicavariable massesprotoplanets

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Three-body problems (70F07)

Related Items (2)

Study of secular perturbations in the restricted three-body problem of variable masses using computer algebra ⋮ MODELLING THE EVOLUTION OF THE TWO-PLANETARY THREE-BODY SYSTEM OF VARIABLE MASSES

Uses Software

• Mathematica

Cites Work

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• 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
• On Integrability of Evolutionary Equations in the Restricted Three-Body Problem with Variable Masses
• The problem of three bodies
• Solar System Dynamics

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