From f06bfc0f59be212b6488a0d7225d789f7d378919 Mon Sep 17 00:00:00 2001 From: Cory Date: Tue, 24 Oct 2023 21:09:50 +0200 Subject: [PATCH] Add part about resonance --- latex/sections/conclusion.tex | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/latex/sections/conclusion.tex b/latex/sections/conclusion.tex index 9a72d93..d0f5a1d 100644 --- a/latex/sections/conclusion.tex +++ b/latex/sections/conclusion.tex @@ -7,5 +7,8 @@ We studied the movement of particles confined by an ideal Penning trap, where we We also compared iterative methods with the analytical solution, and found that the forward Euler \(FE\) method result in an approximation with larger relative error than the 4th order Runge-kutta \(RK4\) method. In addition to a small relative error, we also found that RK4 has a higher convergence rate at approx. $4.0$, compared to FE at approx. $1.4$. Which suggest RK4 ... -Resonance and freq? -\end{document} \ No newline at end of file +We finally looked at how the amount of particles that stay in the Penning trap +change when using different angular frequencies in a time-dependent field. We +observed that there seem to be a resonating frequency at around $1.4MHz$ that +makes the particles escape the Penning trap even at low amplitudes. +\end{document}