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Published online by Cambridge University Press: 12 April 2016
The gravitational perturbations by Jupiter per orbital revolution are calculated for six selected groups of 1000 hypothetical random comets of low inclinations, perihelia units 6 a.u. and aphelia in the range (4 a.u., 13 a.u.). The results are organized in the form of empirical distributions and their statistical properties are investigated in detail. They provide a rich material for the study of problems such as the orbital evolution of short-period comets and the origin of the Jupiter family.