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

DOI10.1007/BF00645672zbMath0667.70015MaRDI QIDQ1117722

Theodore E. Simos, George Papageorgiou, Telemachus J. Kalvouridis

Publication date: 1988

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

high-order Runge-Kutta methodsmagnetic-binary problemcelestial dynamics

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15)

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On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies

Cites Work

• Some old and new Runge-Kutta formulas with stepsize control and their error coefficients
• A comparison of numerical integration methods in the equatorial magnetic- binary problem
• Numerical integration of the equations of motion of celestial mechanics
• Comparison of local error estimators for runge-kutta formulae:
• Symmetric motions in the Equatorial Magnetic-Binary Problem
• A Theoretical Criterion for Comparing Runge–Kutta Formulas
• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• Interpolants for Runge-Kutta formulas