f1 B ω2MHP/ ω0 ω2MLP /ω0 ωexact/ ω0
0.01
0.05
0.10
0.11  
0.12
0.13
0.14
0.15
0.155
0.1565
0.722439
0.792221
0.913755
0.947125
0.986189
1.03385
1.09633
1.19283
1.28435
1.3404
0.999569
0.987927
0.939194
0.921209
0.898183
0.867497
0.8232207
0.744627
0.649963
0.556534
0.999568
0.987913
0.939082
0.921043
0.897928
0.867083
0.822454
0.742729
0.644365
0.527906
0.999569
0.987926
0.939193
0.921214
0.898204
0.867561
0.823418
0.745686
0.655595
0.582921
Table 1: Comparison of the calculated values of ω20 in this paper for only hexapole superposition with the values obtained by modified Lindstedt-Poincare approximation [11] and the exact values.
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