ANALYTICAL PROPER ELEMENTS FOR THE SATELLITE SYSTEMS
In this paper, we present the theoretical basis of the calculation of proper elements for the irregular satellites of the giant planets. We use the averaging method for solving the restricted three-body problem. This method is based on applying transformations Lie in the space of Pfaff. Expressions for the short-period perturbations are obtained in the form of series in powers of the small parameter (the ratio of the mean motions of the Sun and satellite) and in a closed form relative eccentricities and inclinations. This is important, as the specific application objects have orbits with large values of these parameters.
Keywords: proper elements, Lie transformation, Pfaff’s space, irregular satellites
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 22 — 24
Downloads: 925