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Table 7

Resulting libration for Ganymede due to orbital forcing.

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

LS 0.001450 4332.938842 47.714 122.630
ν − ϖ3 0.013034 482.056267 40.974 67.453
ν − ϖ2 0.013585 462.514665 34.282 –77.113
ν − ϖ4 0.012939 485.603206 21.370 265.581
L3 − 2L4 + ϖ4 0.125308 50.141824 17.621 190.809
L3 − ϖ3 0.878081 7.155590 –12.685 254.678
ϖ3 + ϖ4 − Ω3 + Ω0 0.000030 210 144.247108 11.110 159.808
 − Ω3 + Ω0 0.000125 50 299.889651 10.094 127.748
L3 − ϖ4 0.878176 7.154814 –6.843 56.549
L2 − L3 0.891115 7.050927 –5.179 142.132
Ψ 0.003051 2059.541551 3.514 –70.687
 − ρ − 4ϖ4 0.000652 9641.952977 3.193 –33.914
ρ − ϖ3 − 3ϖ4 0.000557 11 287.806242 2.799 –19.969
L3 − L4 0.501722 12.523249 –1.349 217.225
2L3 − 2L4 1.003443 6.261624 –1.088 74.436

Notes. The initial time is J1950. The table is truncated at 1″.

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