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arXiv 1105.3690physics.hist-phphysics.class-ph
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再论开普勒地球等面积定律和椭圆定律

Revisiting Kepler's Laws of Equal Areas and Ellipses for the Earth

Wu-Yi Hsiang, Hai-Chau Chang, Herng Yao, Pon-Jen Chen

摘要:

开普勒的行星运动定律被认为对建立万有引力具有重要意义。本研究演示了不同的方法来推导地球等面积定律的一般几何和三角的方法,这是比原来的推导描述的开普勒简单得多。地球的等面积定律被用来分析地球绕太阳轨道的角速度--或距离的倒数,通过分析现有的数据可以将其定义为周期函数,这有助于解释地球的椭圆定律。

英文摘要:

Kepler's laws of planetary motion are acknowledged as highly significant to the construction of universal gravitation. The present study 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 analyze 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 analyzing the available data, which helps explain the law of ellipses for the Earth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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