Numerical theory of the motion of Jupiter’s Galilean satellites

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 sof...

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Bibliographic Details
Published in:Solar system research 2009-12, Vol.43 (6), p.465-474
Main Author: Kosmodamianskii, G. A.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Astrophysics and Cosmology
Jupiter
Moons
Numerical analysis
Observations and Techniques
Physics
Physics and Astronomy
Planetology
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Summary: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.
ISSN:0038-0946
1608-3423
DOI:10.1134/S003809460906001X