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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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