Motion Around The Triangular Equilibrium Points Of The Restricted Three-Body Problem Under Angular Velocity Variation
Author: Papadakis, K.
Source: Astrophysics and Space Science, Volume 299, Number 2, September 2005 , pp. 129-148(20)
Abstract:We study numerically the asymmetric periodic orbits which emanate from the triangular equilibrium points of the restricted three-body problem under the assumption that the angular velocity varies and for the Sun–Jupiter mass distribution. The symmetric periodic orbits emanating from the collinear Lagrangian point L 3, which are related to them, are also examined. The analytic determination of the initial conditions of the long- and short-period Trojan families around the equilibrium points, is given. The corresponding families were examined, for a combination of the mass ratio and the angular velocity (case of equal eigenfrequencies), and also for the critical value = 2
Document Type: Research Article
Affiliations: Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras, GR-26504 Patras, Greece, Email: email@example.com
Publication date: September 1, 2005