Capture probability p _cap as a function of for the case with ζ = 10 ⁻⁴. Panels (a) and (b) show and (10, 0), respectively. Red pluses and green crosses represent numerical results for prograde and retrograde trajectories, respectively, and blue asterisks show the sum of them. Dashed, dotted, and solid lines show analytic results for p _pro, p _retro, and p _total, respectively. We set f _pro = 4.0, f _retro = 2.0, and f _ran = 2.0 in the analytic expressions given by Equations (18)–(20).