An efficient multiple time-scale reversible integrator for the gravitational \(N\)-body problem

DOI10.1016/S0168-9274(02)00124-1zbMath1014.65135OpenAlexW1985564064MaRDI QIDQ1862015

Benedict J. Leimkuhler

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00124-1

zbMATH Keywords

stabilityHamiltonian systemsaveraginggravitational \(N\)-body problemfast binary starsplanet-moon systemstime-reversible discretization

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Dynamics of multibody systems (70E55) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Cites Work

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• Multirate linear multistep methods
• Asymptotic error analysis of the adaptive Verlet method
• Orbital divergence and relaxation in the gravitational \(N\)-body problem
• Accurate long-term integration of dynamical systems
• The Adaptive Verlet Method
• Long-Time-Step Methods for Oscillatory Differential Equations
• Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories
• A Time-Reversible, Regularized, Switching Integrator for the N-Body Problem
• A reversible averaging integrator for multiple time-scale dynamics
• Explicit variable step-size and time-reversible integration

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