Table 1.
Physical and orbital parameters used in this article.
| Par. | Value (RJ, m0, yr) | Value (km, kg, s) |
|---|---|---|
| 𝒢 | 346166894.5504444 | 6.67259 × 10−20 |
| yr | 1 | 31557600 |
| m⊙ | 1047.571735402983 | 1.98893133312 × 1030 |
| m0 | 1 | 1.89861110786 × 1027 |
| m1 | 0.000047044621535 | 8.93194410114 × 1022 |
| m2 | 0.000025280745501 | 4.79983042232 × 1022 |
| m3 | 0.000078049574517 | 1.48185789142 × 1023 |
| m4 | 0.000056669717201 | 1.07593754557 × 1023 |
| RJ | 1 | 71398 |
| R1 | 0.025513319700832 | 1821.6 |
| J2 | 0.014735 | * |
| J4 | −0.0005888 | * |
| a1 | 5.91907361630506 | 422610.018056949 |
| a2 | 9.41465350340912 | 672187.430836404 |
| a3 | 15.01570120737033 | 1072091.034803830 |
| a4 | 26.41170891766961 | 1885743.193303770 |
| e1 | 0.004139765215464 | * |
| e2 | 0.009526378335510 | * |
| e3 | 0.001453747714343 | * |
| e4 | 0.007404398442897 | * |
| I1 | 0.000661204620550 | * |
| I2 | 0.008068640006861 | * |
| I3 | 0.003605612584037 | * |
| I4 | 0.003482321688065 | * |
| ω1 | 2.884294432504667 | * |
| ω2 | 0.853911845165254 | * |
| ω3 | 4.083549935722539 | * |
| ω4 | 3.431308774505764 | * |
| Ω1 | 1.820488369209967 | * |
| Ω2 | 0.718573110624886 | * |
| Ω3 | 5.129820134251226 | * |
| Ω4 | 0.339041833619144 | * |
| γ1 | 1.571055378146310 | * |
| γ2 | 4.709594574392012 | * |
| γ3 | 3.470563159062861 | * |
Notes. The values are given in two different systems of units (columns). The angles are all in radians. Physical parameters are taken from the L3 ephemerides (Lainey et al. 2009), and the orbital elements are given at time J2000; they are drawn from the averaged Jovicentric canonical coordinates (see Appendix A), computed by filtering the numerical ephemerides (see Sect. 2.3). The asterisk signifies that the value is the same in both systems of units. The number of digits are not representative of the uncertainties; numerous digits are given for repeatability.
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