1980-81 observations of Miranda - New orbit and mass of Ariel and Umbriel

Astronomy and Astrophysics – Astronomy

Scientific paper

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Ariel, Least Squares Method, Miranda, Orbit Calculation, Orbital Elements, Planetary Mass, Umbriel, Computer Programs, Double Cusps, Eccentric Orbits, Ephemerides, Orbit Perturbation, Planetary Orbits, Secular Variations, Uranus, Satellites, Observations, Orbits, Mass, Ariel, Umbriel, Data, Position (Location), Inclination, Eccentricity, Celestial Mechanics, Astronomy, Astrometry, Data Reduction, Procedure, Diagrams, Diameter, Calculations, Density, Comparisons

Scientific paper

112 positions of Miranda relative to Uranus are given. Inclination is confirmed, in agreement with Whitaker and Greenberg's 1948-1972 positions, but the eccentricity is found at a very low value. Deriving the 1948-1949 data from Van Biesbroeck's measurements, and gathering all published positions of Miranda (300 points) confirm all the orbital parameters except for those linked to the eccentricity found as 0.0021±0.0005. Ariel and Umbriel mass product, (1.37±0.15)×10-10, and Miranda nodal precession period, 17.97±0.14 yr, joined to recent J2 and J4 determination from apsidal precession of the rings, yield the mass of Ariel, (3.2±0.5)×10-5, and Umbriel (0.4±0.1)×10-5 (masses in units of mass of the planet). Recent determinations of the diameter of the satellites by Brown et al. give Ariel a density 2.2±0.8 and Umbriel 0.48±0.20.

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