343 citations · 1k across the 20 of their papers we have counts for
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astro-ph.EP2015★ 22 cited
Fast and reliable symplectic integration for planetary system -body problems
David M. Hernandez
We apply one of the exactly symplectic integrators, that we call HB15, of \cite{HB15}, along with the Kepler problem solver of \cite{WH15}, to solve planetary system -body probl…
astro-ph.IM2015★ 38 cited
A Fast and Accurate Universal Kepler Solver without Stumpff Series
Jack Wisdom, David M. Hernandez
We derive and present a fast and accurate solution of the initial value problem for Keplerian motion in universal variables that does not use the Stumpff series. We find that it pe…
astro-ph.IM2015★ 28 cited
Symplectic integration for the collisional gravitational -body problem
David M. Hernandez, Edmund Bertschinger
We present a new symplectic integrator designed for collisional gravitational -body problems which makes use of Kepler solvers. The integrator is also reversible and conserves 9…