Practical symplectic methods with time transformation for the few-body problem

DOI10.1023/A:1008217427749zbMath0898.70003OpenAlexW1654260174MaRDI QIDQ1383211

Seppo Mikkola

Publication date: 8 November 1998

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008217427749

zbMATH Keywords

extended phase spacesymplectic correctorslong term behaviorhierarchical many-body systems with large eccentricitiesperturbed two-body motiontime-transformed generalized leap-frog method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (8)

Majorant series for theN-body problem ⋮ Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary \(N\)-body problem ⋮ A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum ⋮ Symplectic integrators with adaptive timestep applied to spinning compact binaries ⋮ Explicit symplectic integrator for highly eccentric orbits ⋮ Direct \(N\)-body simulations ⋮ On the exact discretization of the classical harmonic oscillator equation

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