Regular Keplerian motions in classical many-body systems

Eugene I. Butikov

Research output


A clear and simple physical approach to the explanation of exact particular solutions of the classical many-body problem is suggested. When the motion of individual bodies coupled by mutual gravitational forces in a many-body system occurs along conic sections, each body can be treated as moving not under the pull of the other moving bodies, but rather under a stationary central inverse-square gravitational field. These solutions describing possible amazingly simple (Keplerian) many-body motions are illustrated by computer simulations. Some pedagogical and philosophical aspects of the problem are discussed.

Original languageEnglish
Pages (from-to)465-482
Number of pages18
JournalEuropean Journal of Physics
Issue number5
Publication statusPublished - 1 Sep 2000

Scopus subject areas

  • Physics and Astronomy(all)

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