Fig. 3

Convergence plots for the L1-error norms of the conserved quantities E (dashed blue), L (solid black), and Q (dotted red) for the orbit with parameters i = 90°, α = −3.22, β = 1.12, a = 0.998 with different integrator settings. The errors are computed at a fixed coordinate time tfinal. Two guide lines with slopes −2 (solid) and −4 (dashed) are drawn. The +, −, and ×-symbols represent respectively L, Q, and E, for the RK4integrator. The square, hexagon, and circle symbols represent the same quantities for the Verlet integrator.
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