Newtonian–Machian analysis of the neo-Tychonian model of planetary motions
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Publication:4921336
DOI10.1088/0143-0807/34/2/383zbMATH Open1370.70046arXiv1301.6045OpenAlexW3103399529MaRDI QIDQ4921336
Publication date: 24 May 2013
Published in: European Journal of Physics (Search for Journal in Brave)
Abstract: The calculation of the trajectories in the Sun-Earth-Mars system will be performed in two different models, both in the framework of Newtonian mechanics. First model is well-known Copernican system, which assumes the Sun is at rest and all the planets orbit around it. Second one is less-known model developed by Tycho Brahe (1546-1601), according to which the Earth stands still, the Sun orbits around the Earth, and other planets orbit around the Sun. The term "Neo-tychonian system" refers to the assumption that orbits of distant masses around the Earth are synchronized with the Sun's orbit. It is the aim of this paper to show the kinematical and dynamical equivalence of these systems, under the assumption of Mach's principle.
Full work available at URL: https://arxiv.org/abs/1301.6045
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