从开普勒定律到牛顿万有引力定律的史诗之旅
The epic journey from Kepler's laws to Newton's law of universal gravitation revisited
摘要：
本文回顾了《牛顿原理》第一卷中有关开普勒行星定律和万有引力的主要结果。为了阐明牛顿的推理，本文给出了一些简单的证明，以启发青年学生。所有的证明都是基于球体的对称性或利用开普勒面积定律，该定律也反映了向心力的对称性。
英文摘要：
In this article, we review the main results of Volume I of Newton's Principia which relates Kepler's law of planets and universal gravitation. In order to clarify the reasoning of Newton, elementary and simple proofs are given to inspire earnest young students. All proofs are based on either the symmetry of spheres or taking great advantage of Kepler's law of area which also reflects the symmetry of centripedal forces.
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。
