8) Benchmarking of the trapping for Qs=1/1000 in 5 10^5 turns

The eighth step is to benchmark the trapping of 1 test particle during 5 10^5 turns when the synchrotron tune which produces one synchrotron oscillation in 1000 turns. The parameters used are those of the step 7,

The test particle has the following initial coordinates: x = 5mm, px = y = py = 0 and z = 2.5 sigma_z, pz = 0. We compare the trapping by plotting the evolution of the single particle emittance e_x = bet_x px^2 + 2 a_x x px + gamma_x x^2 of the test particle (normalized with the initial value) vs. number of turns.
MICROMAP
SIMPSONS