2012 | OriginalPaper | Chapter
Relative Equilibria (RE)
Author : Florin Diacu
Published in: Relative Equilibria of the Curved N-Body Problem
Publisher: Atlantis Press
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The goal of this chapter is to introduce the concepts we will explore in the rest of this monograph, namely the relative equilibrium solutions, also called relative equilibrium orbits or, simply, relative equilibria (from now on denoted by RE, whether in the singular or the plural form of the noun) of the curved
N
-body problem. For RE, the particle system behaves like a rigid body, i.e. all the mutual distances between the point masses remain constant during the motion.