スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 英語
発行・発表の年月 2015/12
形態種別 学術雑誌
査読 査読あり
標題 Newton's Principia Revisited: A New Passage of the Solution to the Direct Kepler Problem
執筆形態 単著
掲載誌名 Proc. Acad. Mech. Japan
掲載区分国内
出版社・発行元 Acad.Mech. Japan
巻・号・頁 1,pp.17-27
概要 The direct Kepler problem, which Newton solved for the first time in the human history, is the task to induce physics behind Kepler's first and second laws. Newton broke through the problem by use of classical geometry and novel limiting operations. In this note by use of vector analysis a new passage of the solution starts from Kepler's first law, by way of conservation of the kinematics on the orbits, and arrives at the inverse-square law of gravitation as well as Kepler's second law at the same time. Kepler's first law is revealed essential to generate everything. Kepler's third law, derivative in its nature, is also confirmed within the same formalism.