MODELLING THE EVOLUTION OF THE TWO-PLANETARY THREE-BODY SYSTEM OF VARIABLE MASSES

DOI10.3846/mma.2023.18453OpenAlexW4387813127MaRDI QIDQ6142228

Unnamed Author, Alexander N. Prokopenya, Mukhtar Minglibayev

Publication date: 25 January 2024

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2023.18453

zbMATH Keywords

evolution equationperturbative methodWolfram Mathematicaquasi-periodic orbitreactive force

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Variable mass, rockets (70P05)

Cites Work

• Computing perturbations in the two-planetary three-body problem with masses varying non-isotropically at different rates
• Three-body problem with variable masses that change anisotropically at different rates
• 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
• The Formation and Early Evolution of Stars
• Gylden-Meščerskii problem
• Solar System Dynamics
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