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Symbolic–Numerical Analysis of Equilibrium Solutions in a Restricted FourBody Problem

D.A. Budzko
Organization: Pushkin Brest State University
Alexander N. Prokopenya
Organization: Brest State Technical University
Journal / Anthology

Programming and Computer Software
Year: 2010
Volume: 36
Issue: 2
Page range: 68-74

Algorithms for searching equilibrium solutions of the circular restricted fourbody problem for mulated on the basis of triangular Lagrange solutions of the threebody problem are discussed. For small val ues 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.