Relative equilibria of the curved N-body problem

The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe? In other words, how do we measure the shortest distance between two points of the physical space? Should we follow a straight line, as on a flat table, fly along a circle...

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Bibliografiske detaljer
Hovedforfatter: Diacu, Florin, 1959-2018
Format: Livre numérique
Sprog:Anglais
Udgivet: Paris : Atlantis Press 2012.
Cham : Springer Nature
Serier:Atlantis Studies in Dynamical Systems 1
Fag:
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Edition sous un autre format:• Relative Equilibria of the Curved N-Body Problem, Texte imprimé, 9789491216695
• Relative Equilibria of the Curved N-Body Problem, Texte imprimé, 9789462390386
• Relative Equilibria of the Curved N-Body Problem, Texte imprimé, 9789491216671
Indholdsfortegnelse:
  • Introduction
  • Preliminary developments
  • Equations of motion
  • Isometric rotations
  • Relative equilibria (RE)
  • Fixed Points (FP)
  • Existence criteria
  • Qualitative behavior
  • Positive elliptic RE
  • Positive elliptic-elliptic RE
  • Negative RE
  • Polygonal RE
  • Lagrangian and Eulerian RE
  • Saari's conjecture.