f1 f1 B ω2MHP/ ω0 ω2MLP /ω0 ωexact/ ω0
0.01
0.05
0.10
0.15
0.20
0.25
0.12
0.05
0.07
0.01
0.01
0.05
0.10
0.15
0.20
0.25
0.30
0.05 -
0.07 -
0.10 -
0.721825
0.775049
0.829421
0.872078
0.905442
0.931747
0.794033
0.824202
0.979204
0.733768
1.01478
1.07113
1.13922
1.20686
1.27406
1.34028
1.39885
0.883214
0.698859
0.82468
1.01478
1.07113
1.13924
1.20693
1.27422
1.34054
1.39889
0.883152
0.697807
0.824691
1.01478
1.07113
1.13922
1.20689
1.27412
1.3404
1.39888
0.883223
0.700873
0.824691
Table 3: Comparison of the calculated values of ω20 in this paper for hexapole and octopole superpositions with the values obtained by modified Lindstedt-Poincare approximation [11] and the exact values.
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