B ω2MHP/ ω0 ω2MLP /ω0 ωexact/ ω0
0.01
0.05
0.10
0.15
0.20
0.25
0.30
0.40
0.50
-0.01
-0.05
-0.10
-0.15
-0.20		 1.01487
1.072
1.13891
1.20173
1.2612
1.31776
1.37188
1.4739
1.56905
0.984866
0.921355
0.833427
0.730894
0.598426		 1.01487
1.072
1.1389
1.20173
1.2612
1.31776
1.37188
1.4739
1.56905
0.984866
0.921355
0.833427
0.730894
0.598426		 1.01487
1.072
1.1389
1.2017
1.2612
1.3177
1.372
1.4739
1.569
0.98487
0.92136
0.83343
0.73099
0.59968
Table 2: Comparison of the calculated values of ω2 /ω0 in this paper for only octopole superposition with the values obtained by modified Lindstedt-Poincare approximation [11] and the exact values.
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