Re-establishing Kepler's first two laws for planets in a concise way through the non-stationary Earth

W. Y. Hsiang, H. C. Chang, Herng Yao, P. S. Lee

研究成果: 雜誌貢獻期刊論文同行評審

摘要

In this we design a simple and insightful way to achieve Kepler's first two laws for planets. The approach is quite different from what we have done for the Earth before. It is because the planet-Sun distance can be determined only through the Earth-Sun distance in the analysis. By applying the law of equal areas for the Earth and the observed angular speeds of a planet over the Sun, the law of equal areas for planets can be re-constructed. Furthermore, for the periodicity of a planet to the Sun, the distance from each planet to the Sun may be expressed as an angular periodic function. By coordinating with the observed data, this periodic distance function depicts an exact elliptical path. Here, we apply relatively easy mathematical skills to illustrate the invariant forms of planetary motions and indicate the key factors used to analyse the motions in complicated planetary systems.

原文英語
文章編號045006
期刊European Journal of Physics
36
發行號4
DOIs
出版狀態已發佈 - 2015 七月 1

ASJC Scopus subject areas

  • 物理與天文學 (全部)

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