An application of the scaled Runge-Kutta algorithms to some problems of celestial mechanics

Statistics – Computation

Scientific paper

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Algorithms, Celestial Mechanics, Orbital Elements, Runge-Kutta Method, Computational Astrophysics, Differential Equations, Run Time (Computers)

Scientific paper

New Runge-Kutta algorithms are applied for determining the solution of a system of ordinary differential equations at any point within a given integrating step. In this paper the authors propose the application of these new algorithms in order to determine, with the smallest possible cost, the exact point of intersection of a symmetric orbit, with the axis or plane of symmetry, which appear in various problems of celestial mechanics.

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