Numerical Modeling of the Motion of Jupiter's Galilean Satellites

Details Numerical Modeling of the Motion of Jupiter's Galilean Satellites Numerical Modeling of the Motion of Jupiter's Galilean Satellites

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999sosyr..33..278a&link_type=abstract

Solar System Research, vol. 33, p. 278 (1999)

Physics

Scientific paper

A numerical model of the motion of Jupiter's Galilean satellites was constructed on the basis of regularizing and stabilizing Kustaanheimo-Stiefel transformations. The system of initial parameters of a numerical model of satellite motion was obtained and improved using Lieske's analytical theory. Estimates of the accuracy of the numerical model for 1926 to 2026 were found to be (in AU): Delta r_1 = 7.8 x 10^-12 (Io), Delta r_2 = 6.2 x 10^-12 (Europa), Delta r_3 = 5.8 x 10^-12 (Ganymede), and Delta r4 = 3.7 x 10^-12 (Callisto). The divergences between numerical modeling results and Lieske's theory are: Delta r_1 = 4.358 x 10^-6, Delta r_2 = 6.023 x 10^-6, Delta r_3 = 7.436 x 10^-6, Delta r_4 = 7.411 x 10^-6, respectively.

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