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Table 1

Frequency analysis of the true longitude of Europa.

Freq. (rad/days) Per (days) Mag (″) Phase (°)
j ωj Pj Hj αj

L1 − L2 1.782230 3.525463 3829.205 –75.737
ν + ϖ3 0.013034 482.056270 177.012 247.453
ν + ϖ4 0.012939 485.603204 93.901 85.580
L2 − ϖ3 1.769195 3.551437 89.915 216.810
L2 − ϖ2 1.768645 3.552542 80.478 181.379
ν + ϖ2 0.013585 462.514730 63.444 102.910
L2 − ϖ4 1.769291 3.551245 50.820 18.661
L2 − L3 0.891115 7.050927 41.001 142.128
Ψ 0.003051 2059.388286 40.964 109.334
LS 0.001450 4332.938725 37.853 122.629
2L1 − 2L2 3.564459 1.762732 18.712 208.531
3L2 − 3L3 2.673344 2.350309 18.141 246.387
ν + ϖ1 0.015571 403.515373 13.050 –29.048
 − Ω4 + Ω0 0.000030 209 871.378822 7.045 161.670
 − Ω3 + Ω0 0.000125 50 324.176598 6.730 127.823
2LS 0.002900 2166.518223 4.248 87.421
1.795264 3.499868 4.097 –8.282
2ν + Ω2 + Ω3 0.025120 250.130673 3.468 142.546
3.539784 1.775020 3.367 17.141
2LS + 2ϖ4 + Ω1 0.000649 9676.813046 2.923 –12.788
2ν + 2Ω2 0.024675 254.634447 2.904 11.386

Notes. The initial date is J1950.

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