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Canonical theory of perturbations using eccentric anomaly as independent variable
Authors:Janis Britals
Institution:(1) Latvian University Astronomical Observatory, 19. Rainis bulv., 226098 Riga, Latvia
Abstract:It is shown in this paper how to build a canonical transformation of variables, so that the eccentric anomaly becomes the new independent variable. In the case of eccentric elliptical orbits it changes the equations of motion so, that they can be integrated analytically to any order of approximation comparatively easy.
Keywords:Generalized canonical transformation  great eccentricities  analytical theory of perturbations
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