V. I. Arnold, V. V. Kozlov and A. I. Neishtadt, “Mathematical Aspects of Classical and Celestial Mechanics,” URSS, Moscow, 2002.

has been cited by the following article:

• TITLE: On the Lagrange Stability of Motion and Final Evolutions in the Three-Body Problem

  AUTHORS: Stepan P. Sosnitskii

  KEYWORDS: Lagrange Stability; Distal Motion; Hill Stable Pair; Final Evolutions

  JOURNAL NAME: Applied Mathematics, Vol.4 No.2, February 27, 2013

  ABSTRACT: For the three-body problem, we consider the Lagrange stability. To analyze the stability, along with integrals of energy and angular momentum, we use relations by the author from [1], which band together separately squared mutual distances between bodies (mass points) and squared distances from bodies to the barycenter of the system. In this case, we prove the Lagrange stability theorem, which allows us to define more exactly the character of hyperbolic-elliptic and parabolic-elliptic final evolutions.