The Kepler problem: a concealed vector

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• 作者：Maria Dina Vivarelli
• 关键词：Kepler problem ; Conic sections ; Regularization ; General mechanics
• 刊名：Meccanica
• 出版年：2010
• 出版时间：June, 2010
• 年：2010
• 卷：45
• 期：3
• 页码：331-340
• 全文大小：337.3 KB

文摘

By reconsidering anew our unitary S-description of the family of Kepler conic sections, we show how the plane sum vector S unravels at the core the existence of a constant vector N, which not only discloses in a natural way the cone structure in R 3 which defines the Kepler conic sections, but also enlightens the peculiar genesis of the map devised by Levi-Civita for the regularization of the Kepler problem at collision.