An alternative way to achieve Kepler's laws of equal areas and ellipses for the Earth

W. Y. Hsiang*, H. C. Chang, H. Yao, P. J. Chen

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

Kepler's laws of planetary motion are acknowledged as highly significant to the construction of universal gravitation. This paper demonstrates different ways to derive the law of equal areas for the Earth by general geometrical and trigonometric methods, which are much simpler than the original derivation depicted by Kepler. The established law of equal area for the Earth was applied to analyse the angular velocity or the reciprocal of the distance - for the Earth's orbit around the Sun - and can be defined as a periodic function by analysing the available data, which help explain the law of ellipses for the Earth.

原文英語
頁(從 - 到)1405-1412
頁數8
期刊European Journal of Physics
32
發行號5
DOIs
出版狀態已發佈 - 2011 9月
對外發佈

ASJC Scopus subject areas

  • 物理與天文學 (全部)

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