343 citations · 1k across the 20 of their papers we have counts for
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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…
A differentiable N-body code for transit timing and dynamical modeling. I. Algorithm and derivatives
Eric Agol, David M. Hernandez, Zachary Langford
When fitting N-body models to astronomical data - including transit times, radial velocity, and astrometric positions at observed times - the derivatives of the model outputs with…
Significant improvement in planetary system simulations from statistical averaging
David M. Hernandez, Eric Agol, Matthew J. Holman +1
Symplectic integrators are widely used for the study of planetary dynamics and other -body problems. In a study of the outer Solar system, we demonstrate that individual symplec…