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

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 ser...

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Bibliographic Details
Published in:Programming and computer software Vol. 36; no. 2; pp. 68 - 74
Main Authors: Budzko, D. A., Prokopenya, A. N.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.03.2010
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Computer algebra
Computer programs
Computer Science
Computer simulation
Four body problem
Mathematical models
Numerical analysis
Operating Systems
Parameters
Power series
Programming
Search algorithms
Searching
Software
Software Engineering
Software Engineering/Programming and Operating Systems
Three body problem
Equilibrium Curve
Body Problem
Equilibrium Solution
Equilibrium Point
Computer Algebra System
ISSN:0361-7688, 1608-3261
Online Access:Get full text
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Summary: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 .
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ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768810020039