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 2021/07
形態種別 その他
標題 THE STRUCTURE OF THE SOLUTION SPACE IN THE DIRECT AND INVERSE KEPLER PROBLEMS
執筆形態 単著
掲載誌名 Symmetry: Culture and Science
掲載区分国外
出版社・発行元 Symmetrion
巻・号・頁 32(2),pp.125-128
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. That is the inverse-square law of the universal gravitation. The inverse Kepler problem is the task to look for the orbit of the planet by deducing from the law of the gravitation. This was solved in an incomplete manner by Jakob Hermann. The present study is to visualise the structure of the solution space in the direct and inverse Kepler problems by use of modern vector analysis. This novel result is summarised as a roadmap.