343 citations · 1k across the 20 of their papers we have counts for
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astro-ph.EP2016★ 32 cited
A study of symplectic integrators for planetary system problems: error analysis and comparisons
David M. Hernandez, Walter Dehnen
The symplectic Wisdom-Holman map revolutionized long-term integrations of planetary systems. There is freedom in such methods of how to split the Hamiltonian and which coordinate s…
math.NA2016★ 30 cited
Symplectic fourth-order maps for the collisional N-body problem
Walter Dehnen, David M. Hernandez
We study analytically and experimentally certain symplectic and time-reversible N-body integrators which employ a Kepler solver for each pair-wise interaction, including the method…