Table 3
Best-fit (left) and alternative (middle) model parameters, together with realistic uncertainties (right).
| var. | val. | val. | Unit | σ |
|---|---|---|---|---|
| m1 | 1.492735 × 10−12 | 1.651829 × 10−12 | MS | 0.16 × 10−12 |
| m2 | 2 × 10−16 | 4 × 10−16 | MS | 2 × 10−16 |
| m3 | 3 × 10−16 | 9 × 10−16 | MS | 3 × 10−16 |
| P1 | 1.822359 | 1.818203 | day | 0.004156 |
| log e1 | −3.991 | −4.100 | 1 | −3 (i.e. 0.001) |
| i1 | 70.104 | 68.719 | deg | 1.0 |
| Ω1 | 252.920 | 253.751 | deg | 1.0 |
| ϖ1 | 0.089 | 13.892 | deg | 10.0 |
| λ1 | 59.665 | 60.565 | deg | 1.0 |
| P2 | 2.745820 | 2.740999 | day | 0.004820 |
| log e2 | −3.998 | −4.138 | 1 | −3 |
| i2 | 70.347 | 69.383 | deg | 1.0 |
| Ω2 | 252.954 | 252.033 | deg | 1.0 |
| ϖ2 | 1.601 | −9.757 | deg | 10.0 |
| λ2 | 108.357 | 107.865 | deg | 1.0 |
| lpole | 72.961 | 73.472 | deg | 1.0 |
| bpole | 19.628 | 20.480 | deg | 1.0 |
| nsky | 66 | 66 | ||
| nsky2 | 28 | 28 | ||
| nao | 3240 | 3240 | ||
 |
113 | 124 | ||
 |
66 | 78 | ||
 |
621 | 584 | ||
| χ2 | 368 | 381 | ||
 |
1.71 | 1.87 | ||
 |
2.35 | 2.78 | ||
 |
0.19 | 0.18 | ||
Notes. Orbital elements of the moons are osculating, for the epoch T0 = 2 454 728.761806 (cf. Fig. 11). m1 denotes the mass of body 1 (i.e. Kleopatra), m2 body 2 (first moon), m3 body 3 (second moon), P1 the orbital period of the first orbit, e1 eccentricity, i1 inclination, Ω1 longitude of node, ϖ1 longitude of pericentre, λ1 true longitude, etc. of the second orbit; lpole ecliptic longitude of Kleopatra’s rotation pole, bpole ecliptic latitude; n numbers of observations (SKY, SKY2, AO), χ2 values, 
reduced values. The angular orbital elements are expressed in the standard stellar reference frame. If the orbits lie in the equatorial plane of body 1, they fulfil i = 90° − bpole, Ω = 180° + lpole.
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