Abstract
In this chapter we will describe some qualitative dynamical properties for the positive elliptic, positive elliptic-elliptic, negative elliptic, negative hyperbolic, and negative elliptic-hyperbolic RE, under the assumption that they exist. (Examples of such solutions will be given in Part IV for various values of N and of the masses \( {\text{m}}_{ 1} , {\text{m}}_{ 2} ,\ldots , {\text{m}}_{\text{N}} { > 0} . \)) For this purpose we will also provide some geometric-topologic considerations about \( {\text{S}}_{ 3} \) and \( {\text{H}}_{ 3} \).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Florin Diacu
About this chapter
Cite this chapter
Diacu, F. (2012). Qualitative Behavior. In: Relative Equilibria of the Curved N-Body Problem. Atlantis Series in Dynamical Systems, vol 1. Atlantis Press, Paris. https://doi.org/10.2991/978-94-91216-68-8_8
Download citation
DOI: https://doi.org/10.2991/978-94-91216-68-8_8
Published:
Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-91216-67-1
Online ISBN: 978-94-91216-68-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)