Dynamical study while searching equilibrium solutions in N-body problem

Antonov Problem and Quasi-Equilibrium States in N-body System

In this paper, a quantitative characterization for the evolutionary sequence of stellar self-gravitating system is investigated, focusing on the pre-collapse stage of the long-term dynamical evolution. In particular, we consider the quasi-equilibrium behaviors of the N -body systems in the setup of the so-called Antonov problem, i.e., self-gravitating N -body system confined in an adiabatic wal...

Nested regular polygon solutions of 2 N - body problem ✩

In this Letter we study the necessary conditions for the masses of the nested regular polygon solutions of the planar 2N-body problem.  2001 Published by Elsevier Science B.V.

Nonlinear Stability Analysis of Equilibrium Solutions in Restricted Four-body Problem

It is well-known that the stability problem of relative equilibria in the N-body problem is one the most difficult and intricate one. The solution of such problem in the case of planar circular restricted three-body problem has been fully obtained only after 200 years while the triangular equilateral configuration was discovered in 1772 by Lagrange. Stability analysis in strict nonlinear formul...

The N-body Problem

While searching for information

The paper presents an approach to automatically construct hypertext structures out of large document samples for a context-oriented retrieval. It contributes to the design of future infrastructure for large-scale information retrieval systems. As its crucial trait, profiles of usage will furnish the process of semantically mapping. This will be based on automatic text analysis that extract the ...