• An Introduction to the Classical Three-Body Problem: From Periodic Solutions to Instabilities and Chaos

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/024/01/0087-0114

    • Keywords

       

      Kepler problem, three-body problem, celestial mechanics, classical dynamics, chaos, instabilities.

    • Abstract

       

      The classical three-body problem arose in an attempt to understandthe effect of the Sun on the Moon’s Keplerian orbitaround the Earth. It has attracted the attention of some of thebest physicists and mathematicians and led to the discoveryof ‘chaos’. We survey the three-body problem in its historicalcontext and use it to introduce several ideas and techniquesthat have been developed to understand classical mechanicalsystems.

    • Author Affiliations

       

      Govind S Krishnaswami1 Himalaya Senapati1

      1. Chennai Mathematical Institute SIPCOT IT Park Siruseri 603 103 India.
    • Dates

       

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