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Table 6

Resulting libration for Europa due to orbital forcing.

j Freq. (rad/days) Per (days) Amp. (″) Phase (°)

L1 − L2 1.782230 3.525463 –203.165 –75.737
ν + ϖ3 0.013034 482.056270 178.102 247.453
ν + ϖ4 0.012939 485.603204 94.470 85.580
ν + ϖ2 0.013585 462.514730 63.869 102.910
Ψ 0.003051 2059.388286 40.978 109.334
LS 0.001450 4332.938725 37.856 122.629
ν + ϖ1 0.015571 403.515373 13.165 –29.048
L2 − L3 0.891115 7.050927 –11.546 142.128
 − Ω4 + Ω0 0.000030 209 871.378822 7.045 161.670
 − Ω3 + Ω0 0.000125 50 324.176598 6.729 127.823
2LS 0.002900 2166.518223 4.249 87.421
L2 − ϖ3 1.769195 3.551437 –4.847 216.810
L2 − ϖ2 1.768645 3.552542 –4.341 181.379
2ν + Ω2 + Ω3 0.025120 250.130673 3.550 142.546
2ν + 2Ω2 0.024675 254.634447 2.971 11.386
2LS + 2ϖ4 + Ω1 0.000649 9676.813046 2.923 –12.788
L2 − ϖ4 1.769291 3.551245 –2.739 18.661

Notes. The initial time is J1950. The table is truncated at 1″ amplitude corresponding to a surface displacement of 7 m.

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