Table 2
Parameters, along with their values and uncertainties for the nominal and high-oblateness models of the (22) Kalliope and Linus system.
var. | Nominal val. | High-oblateness val. | Unit | σ |
---|---|---|---|---|
msum | 3.902028 × 10−12 | 3.902434 × 10−12 | MS | 0.001000 × 10−12 |
q1 | 6.129 × 10−3 | 6.129 × 10−3 | 1 | 1.000 × 10−3 |
P1 | 3.601774 | 3.606096 | day | 0.000001 |
log e1 | −2.195 | −2.444 | 1 | 0.100 |
i1 | 88.774 | 89.130 | deg | 1.0 |
Ω1 | 373.127 | 374.232 | deg | 1.0 |
ϖ1 | 132.259 | 129.868 | deg | 1.0 |
λ1 | 359.793 | 360.443 | deg | 1.0 |
R1 | 0.993 | 0.999 | 76.5 km | 0.02 |
R2 | 0.960 | 0.955 | 15 km | 0.02 |
Prot1 | 0.172841 | 0.172841 | day | 0.000001 |
Prot2 | 3.595713(f) | 3.595713 | day | 1.0 |
∆t1 | 50.1 | 60.0 | s | 20.0 |
C20,1 | −0.1199 | −0.2000 | 1 | 0.0100 |
lpole1 | 193.805 | 194.993 | deg | 1.0 |
bpole1 | 2.515 | 1.751 | deg | 1.0 |
ϕ01 | 84.496 | 86.776 | deg | 1.0 |
Aw1 | 0.438 | – | 1 | 0.020 |
Aw2 | 0.400 | – | 1 | 0.020 |
B0 | 1.733 | – | 1 | 0.100 |
h | 0.0295 | – | 1 | 0.0010 |
g | −0.0197 | – | 1 | 0.0010 |
![]() |
0.000 | – | deg | 5.0 |
nsky | 344 | 344 | ||
nao | 12 600 | 12600 | ||
nlc | 1829 | – | ||
n | 14773 | 12944 | ||
![]() |
364 | 249 | ||
![]() |
35209 | 36818 | ||
![]() |
6223 [2pt] | – | ||
χ2 | 6695 | 359 |
Notes. msum denotes the sum of masses, q1, mass ratio m2/m1, P1, osculating orbital period, log e1, logarithm of eccentricity, i1, inclination with respect to the ecliptic system, Ω1, longitude of the ascending node, ϖ1, longitude of the pericentre, λ1, true longitude, Ri, radius of the ith body Proti, rotation period, ∆t1, tidal time lag, C20,1, zonal multipole coefficient, lpole1, ecliptic longitude of the rotational pole, bpole1, latitude of the pole, ϕ01, rotation phase, Awi, single-scattering albedo, B0, opposition effect amplitude, h, opposition effect width, g, asymmetry factor, , surface roughness, n, total number of observations, χ2, and total weighted unreduced χ2, with individual contributions from the SKY, AO, LC datasets; the respective weights wsky = wlc = 1, and wao = 0.003 (i.e., for regularisation). All orbital elements are osculating for the epoch T0 = 2459546.692102 (TDB). Also:(f) denotes a fixed parameter.
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