All Motions: Summary. Locality and Stability of Finite Motions

  • Alexander SilbergleitEmail author
  • Arthur Chernin
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


We summarize the properties of all found solutions, and show that finite motions are essentially localized, predominantly within the no-gravity sphere. We then discuss their stability and show that, with the exception of generic periodic and aperiodic motions described by elliptic integrals, finite motions are structurally unstable.

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.W.W. Hansen Experimental Physics LaboratoryStanford UniversityStanfordUSA
  2. 2.Sternberg Astronomical InstituteMoscow UniversityMoscowRussia

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