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astro-ph.EP2026
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, :…
astro-ph.EP2026
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…