Table 4
Libration amplitude of the five inner small satellites selected.
| Body | Epimetheus | Janus | Pandora | Prometheus | Atlas |
|---|---|---|---|---|---|
| La19 Theo |  |
−0.29 ± 0.08 | −1.27 ± 1.07 | +0.93 ± 0.19 | |
| La19 Obs | −13.5 ± 15.8 | −0.31 ± 1.62 | −9.9 ± 7.4 | +0.06 ± 0.37 | |
| Ti09 | −5.9 ± 1.2 | −0.3 ± 0.9 | – | – | |
| Nominal w/o J2 | −5.17 | −0.37 | −1.77 | 0.83 | −0.047 |
| Monte Carlo w/o J2 |  |
 |
 |
 |
 |
| Nominal with J2 | 5.80 | −0.39 | −1.97 | 0 79 | −0.049 |
| Monte Carlo with J2 |  |
 |
 |
 |
 |
Notes. Libration amplitude estimation and comparaison with La19 that is from Lainey et al. (2019), Ti09 from Tiscareno et al. (2009), and the nominal as well as results from Monte Carlo without or with the J2 of Saturn (see text for explanation). The values listed in La19 are derived from the Tables 1 and 8 of Lainey et al. (2019). Let us note that the observed values of Lainey et al. (2019) were obtained by using the gravity coefficients determined for ellipsoidal shape.
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