NT19: Numerical Validation of the Ring Trajectory in the Bulk
Year: 2026
Type: conference-abstract
Abstract: This note provides a numerical validation of the ring trajectory in the bulk effective potential of the COCM framework. The goal is to test whether the orbital evolution is numerically stable under a second-order Runge–Kutta scheme (RK2) before committing to a symplectic integrator. We compare Euler and RK2 on the same time grid, study step-size dependence, and monitor the preservation of the candidate sector invariant. The computation is designed to partially close the numerical side of residual R_3 in P15, separating the computational question from the analytic one. No new analytic derivation is introduced.
Author: Vázquez González, José Luis
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162777203
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