343 citations · 1k across the 20 of their papers we have counts for
22 papers
Time-reversible timestepping in many-body planetary systems
David M. Hernandez, Tenri Jinno, Junichiro Makino
Simulating chaotic planetary system evolution requires resolving small time-scales due to close encounters, scattering, collisions, and more. Simulations typically assign fixed tim…
Mercury's chaotic secular evolution as a subdiffusive process
Dorian S. Abbot, Robert J. Webber, David M. Hernandez +2
Mercury's orbit can destabilize, generally resulting in a collision with either Venus or the Sun. Chaotic evolution can cause g1 to decrease to the approximately constant value of…
ASSIST: An Ephemeris-Quality Test Particle Integrator
Matthew J. Holman, Arya Akmal, Davide Farnocchia +5
We introduce ASSIST, a software package for ephemeris-quality integrations of test particles. ASSIST is an extension of the REBOUND framework and makes use of its IAS15 integrator…
Switching integrators reversibly in the astrophysical -body problem
David M. Hernandez, Walter Dehnen
We present a simple algorithm to switch between -body time integrators in a reversible way. We apply it to planetary systems undergoing arbitrarily close encounters and highly e…
Simple physics and integrators accurately reproduce Mercury instability statistics
Dorian S. Abbot, David M. Hernandez, Sam Hadden +3
The long-term stability of the Solar System is an issue of significant scientific and philosophical interest. The mechanism leading to instability is Mercury's eccentricity being p…
Stepsize errors in the -body problem: discerning Mercury's true possible long-term orbits
David M. Hernandez, Richard E. Zeebe, Sam Hadden
Numerical integrations of the Solar System have been carried out for decades. Their results have been used, for example, to determine whether the Solar System is chaotic, whether M…