29 citations · 29 across the 5 of their papers we have counts for
5 papers
Canceling Effects of Conjunctions Render Higher Order Mean Motion Resonances Weak
Elizabeth K Jones, Samuel Hadden, Supakrai Teekamongkol +1
Mean motion resonances (MMRs) are a key phenomenon in orbital dynamics. The traditional disturbing function expansion in celestial mechanics shows that, at low eccentricities, :…
Democratic heliocentric coordinates underestimate the rate of instabilities in long-term integrations of the Solar System
Hanno Rein, Kavi Dey, Daniel Tamayo
Wisdom-Holman (WH) integrators are symplectic operator-splitting methods widely used for long-term N-body simulations of planetary systems. Most implementations use either Jacobi c…
Creating Pileups of Eccentric Planet Pairs Wide of MMRs Through Divergent Migration
Jessica Lin, Ivan Dudiak, Samuel Hadden +1
Observed pileups of planets with period ratios wide of strong mean motion resonances (MMRs) pose an important puzzle. Early models showed that they can be created thr…
A Unified, Physical Framework for Mean Motion Resonances
Daniel Tamayo, Samuel Hadden
The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinat…
Dynamical Instabilities in High-Obliquity Systems
Daniel Tamayo, Joseph A. Burns, Douglas P. Hamilton +1
High-inclination circumplanetary orbits that are gravitationally perturbed by the central star can undergo Kozai oscillations---large-amplitude, coupled variations in the orbital e…