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Table 4

Summary of the dynamical parameter determinations.

Parameter Value Δ σ Correlation matrix
Triton state at t0 px [km] −223250.8635711644 −7.974 3.060 1.00
py [km] −191949.2974104675 2.610 2.526 −0.58 1.00
pz [km] −197783.9565893738 0.526 2.648 −0.34 −0.37 1.00
vx [mm s−1] −2887234.335815251 68.037 23.828 −0.73 0.22 0.27 1.00
vy [mm s−1] −47603.72814907290 27.965 40.424 −0.63 0.25 0.48 0.04 1.00
vz [mm s−1] 3305218.260446281 5.596 17.437 −0.30 −0.00 0.65 0.53 −0.08 1.00
Nereid state at t0 px [km] 4388431.199128513 −20.083 15.470 0.09 −0.01 −0.01 −0.09 −0.04 0.03 1.00
py [km] 2402303.357795629 −6.317 13.957 −0.06 0.01 −0.01 0.06 0.03 −0.03 −0.95 1.00
pz [km] 1521313.457519425 34.748 6.872 −0.04 −0.01 0.04 0.03 0.02 0.02 −0.69 0.57 1.00
vx [mm s−1] 324519.5298679983 −7.538 4.686 0.07 −0.01 0.00 −0.08 −0.03 0.03 0.89 −0.80 −0.61 1.00
vy [mm s−1] 992543.8939775591 −8.054 2.857 −0.09 0.01 0.01 0.09 0.04 −0.02 −0.79 0.79 0.18 −0.80 1.00
vz [mm s−1] 533234.3828129882 22.843 3.102 −0.03 0.01 −0.01 0.03 0.01 −0.02 −0.30 0.11 0.75 −0.34 −0.24 1.00
Neptune’s pole Orientation at t0 αp [o] 299.3388731731028 −0.036 0.012 0.04 −0.12 0.12 −0.09 0.11 −0.03 0.00 −0.00 0.00 0.00 −0.00 −0.00 1.00
δp [o] 42.98450182959867 0.035 0.016 −0.11 0.12 −0.01 0.02 0.12 −0.04 −0.01 0.01 0.00 −0.01 0.01 0.00 −0.16 1.00

Notes. Satellite state vectors and the pole orientation angles of Neptune at the epoch t0 = 1989 September 1 TDB are listed and specified to 16 digits to facilitate orbit integrations. The values px, py, and pz are, respectively, the x, y, and z components of a position vector referred to the ICRS centered at Neptunian system barycenter and vx, vy, and vz those of a velocity vector. The values αp and δp are Neptune’s pole right ascension and declination, respectively, referred to the ICRS. The triange symbol denotes the parameter value difference between our solution and NEP081 (Jacobson 2009), and σ the formal 1σ uncertainty of our solution.

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