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On a generalization of Kepler's third law

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Abstract:

In the educational and scientific literature, Kepler's third law is seen as only approximately correct. Therefore, a so-called ‘generalized Kepler's third law' has been introduced as correct. Only when the planet masses are considered is the standard Kepler's third law obtained. In this paper, we prove that ‘the generalized Kepler's third law' is neither physically nor mathematically based on the axioms of mechanics; thus it is in fact not correct.

Keywords: Constant of gravitation; Force of attraction; Kepler's law

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/10556790500528008

Affiliations: Mathematical Institute, Serbian Academy of Sciences, Knez Mihailova 35, PO Box 367, 11001, Beograd, Serbia

Publication date: December 1, 2005

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