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Table 3

Orbital elements of the satellites of Sylvia, expressed in EQJ2000, obtained with Genoid.

Romulus Remus
Observing data set
Number of observations 130 66
Time span (days) 6050 5656
RMS (mas) 9.85 8.24

Orbital elements EQJ2000
P (day) 3.64126 ±0.00005 1.35699 ±0.00075
a (km) 1340.6 ±1.2 694.2 ±0.4
e 0.000 0.005
         
i (°) 7.4 ±1.6 8.7 ±5.4
Ω (°) 97.1 ±5.8 100.8 ±20.6
ω (°) 171.0 ±10.5 262.2 ±25.9
tp (JD) 2455597.08689 ±0.10085 2455594.89253 ±0.10444

Physical parameters
MSylvia (×1019 kg) 1.440 ±0.004
MRomulus (×1015 kg) 1.4 ±1.2
MRemus (× 1014 kg) 7.8 ±7.3
ΔmRomulus 6.2 ±1.1
ΔmRemus 7.1 ±2.1

Derived parameters
λp, βp (°) 73, +65 ±4, 1 70, +64 ±11, 3
αp, δp (°) 7, +83 ±6, 2 11, +81 ±21, 5
Λ (°) 5 ±1 6 ±4
(km) 15.1 ±1.1
(km) 10.3 ±2.1

Notes. The table lists: orbital period P, semi-major axis a, eccentricity e, inclination i, longitude of the ascending node Ω, argument of pericenter ω, and time of pericenter tp. The number of observations and RMS between predicted and observed positions are also provided. Finally, we report the mass of Sylvia MSylvia, the mass of Romulus MRomulus, the mass of Remus MRemus, their apparent magnitude difference Δm with Sylvia, the ecliptic J2000 coordinates of the orbital pole (λp, βp), the equatorial J2000 coordinates of the orbital pole (αp, δp), and the orbital inclination (Λ) with respect to the equator of Sylvia. Uncertainties are given at 3-σ.

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