Symbolic-numerical analysis of equilibrium solutions in a restricted four-body problem

DOI10.1134/S0361768810020039zbMath1343.70012OpenAlexW2078646281MaRDI QIDQ1956952

Alexander N. Prokopenya, Dzmitry A. Budzko

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1134/s0361768810020039

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10)

Related Items (9)

New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations ⋮ Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem ⋮ Dynamical study while searching equilibrium solutions in \(N\)-body problem ⋮ Investigation of the restricted problem of three bodies of variable masses using computer algebra ⋮ Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses ⋮ Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem ⋮ NUMERICAL-SYMBOLIC METHODS FOR SEARCHING RELATIVE EQUILIBRIA IN THE RESTRICTED PROBLEM OF FOUR BODIES ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem ⋮ Computing perturbations in the two-planetary three-body problem with masses varying non-isotropically at different rates

Uses Software

• Mathematica

Cites Work

• Studying the stability of equilibrium solutions in a planar circular restricted four-body problem

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