The Mathematica book (4th edition)
The Mathematica book (4th edition)
On the stability of equilibrium positions in the circular restricted four-body problem
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
Stability of equilibrium positions in the spatial circular restricted four-body problem
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem
Programming and Computing Software
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Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of triangular Lagrange solutions of the three-body problem are discussed. For small values of one of the two system parameters, equilibrium solutions are found in the form of power series. For large values of this parameter, an algorithm for numerical solution is presented. The proposed algorithms are implemented in the computer algebra system Mathematica.