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1: 22.19 Physical Applications
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Figure 22.19.1: Jacobi’s amplitude function am ( x , k ) for 0 x 10 π and k = 0.5 , 0.9999 , 1.0001 , 2 . …As k 1 , plateaus are seen as the motion approaches the separatrix where θ = n π , n = ± 1 , ± 2 , , at which points the motion is time independent for k = 1 . … Magnify