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

An application of the scaled Runge-Kutta algorithms to some problems of celestial mechanics (Q1097057)

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scientific article; zbMATH DE number 4033174
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English
An application of the scaled Runge-Kutta algorithms to some problems of celestial mechanics
scientific article; zbMATH DE number 4033174

    Statements

    An application of the scaled Runge-Kutta algorithms to some problems of celestial mechanics (English)
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    1987
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    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 we 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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    non-stiff initial value problems
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    Runge-Kutta algorithms
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    exact point of intersection of a symmetric orbit
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    plane of symmetry
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