343 citations · 1k across the 20 of their papers we have counts for
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Are long-term -body simulations reliable?
David M. Hernandez, Sam Hadden, Junichiro Makino
-body integrations are used to model a wide range of astrophysical dynamics, but they suffer from errors which make their orbits diverge exponentially in time from the correct o…
REBOUNDx: A Library for Adding Conservative and Dissipative Forces to Otherwise Symplectic N-body Integrations
Daniel Tamayo, Hanno Rein, Pengshuai Shi +1
Symplectic methods, in particular the Wisdom-Holman map, have revolutionized our ability to model the long-term, conservative dynamics of planetary systems. However, many astrophys…
Improving the accuracy of simulated chaotic -body orbits using smoothness
David M. Hernandez
Symplectic integrators are a foundation to the study of dynamical -body phenomena, at scales ranging from from planetary to cosmological. These integrators preserve the Poincaré…
Should -body integrators be symplectic everywhere in phase space?
David M. Hernandez
Symplectic integrators are the preferred method of solving conservative -body problems in cosmological, stellar cluster, and planetary system simulations because of their superi…
Hybrid Symplectic Integrators for Planetary Dynamics
Hanno Rein, David M. Hernandez, Daniel Tamayo +6
Hybrid symplectic integrators such as MERCURY are widely used to simulate complex dynamical phenomena in planetary dynamics that could otherwise not be investigated. A hybrid integ…