Application of high-order Runge-Kutta methods in the magnetic-binary problem

Statistics – Computation

Scientific paper

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Celestial Mechanics, Computational Astrophysics, Runge-Kutta Method, Two Body Problem, Accuracy, Binary Stars, Comparison, Electromagnetism, Magnetic Stars

Scientific paper

Several high-order Runge-Kutta methods are used to study a composite problem of celestial dynamics. The efficiency of methods of order five and six are evaluated for the example of the magnetic binary problem. The local truncation error of the lower order method is obtained by subtracting two formulas of successive order which use the same set of function evaluations.

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