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On the numerical integration of orbital problems with high-order Runge-Kutta-Nyström methods

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Publication:1590817
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DOI10.1016/S0168-9274(99)00045-8zbMath0976.70002MaRDI QIDQ1590817

Pablo Martín, David J. López, Ana-Belén González

Publication date: 6 January 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)


zbMATH Keywords

variable step sizeperturbed oscillatorssatellite orbitslong-term predictionseight-order embedded methodRunge-Kutta Scheifele \(G\)-function methodspace dynamics


Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Orbital mechanics (70M20) Finite difference and finite volume methods for ordinary differential equations (65L12)


Related Items

High order Runge--Kutta--Nyström codes for the integration of oscillatory problems. ⋮ New methods for oscillatory systems based on ARKN methods ⋮ New methods for oscillatory problems based on classical codes



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