Numerical theory of the motion of Jupiter’s Galilean satellites |
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Authors: | G A Kosmodamianskii |
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Institution: | 1.Institute of Applied Astronomy,Russian Academy of Sciences,St. Petersburg,Russia |
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Abstract: | A numerical theory of the motion of Jupiter’s Galilean satellites was constructed using 3767 absolute observations of the
satellites. The theory was based on the numerical integration of the equations of motion of the satellites. The integration
was carried out by Everhart’s method using the ERA software package developed at the Institute of Applied Astronomy (IAA).
Perturbations due to the oblateness of the central planet, perturbations from Saturn and the Sun, and the mutual attraction
of the satellites were taken into account in the integration. As a result, the coefficients of the Chebyshev series expansion
for coordinates and velocities were found for the period from 1962 to 2010. The initial coordinates and velocities of the
satellites, as well as their masses, the mass of Jupiter, and the harmonic coefficient J
2 of the potential of Jupiter, were adjusted. The resulting ephemerides were compared to those of Lieske and Lainey. |
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