Order statistics and heavy-tailed distributions for planetary perturbations on Oort cloud comets
University Lille 1, Laboratoire Paul Painlevé, 59655 Villeneuve d'Ascq Cedex, France
2 University Lille 1, LAL, 59000 Lille, France e-mail: email@example.com
3 Institut de Mécanique Céleste et Calcul d'Ephémérides, 77 av. Denfert-Rochereau, 75014 Paris, France
4 INAF – IASF, via Fosso del Cavaliere 100, 00133 Roma, Italy
Accepted: 19 November 2009
Aims. This paper tackles important aspects of comet dynamics from a statistical point of view. Existing methodology uses numerical integration to compute planetary perturbations to simulate such dynamics. This operation is highly computational. It is reasonable to investigate a way in which a statistical simulation of the perturbations can be handled more easily.
Methods. The first step to answer such a question is to provide a statistical study of these perturbations in order to determine their main features. The statistical tools used are order statistics and heavy-tailed distributions.
Results. The study carried out indicated a general pattern exhibited by the perturbations around the orbits of the planets. These characteristics were validated through statistical testing and a theoretical study based on the Öpik theory.
Key words: methods: statistical / celestial mechanics / Oort Cloud
© ESO, 2010