Motion Around The Triangular Equilibrium Points Of The Restricted Three-Body Problem Under Angular Velocity Variation |
| |
| Authors: | Email author" target="_blank">K?E?PapadakisEmail author |
| |
| Institution: | (1) Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras, GR-26504 Patras, Greece |
| |
| 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 ω 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 ω = 2, at which the triangular equilibria disappear by coalescing with the inner collinear equilibrium point L
1. We also compute the horizontal and the vertical stability of these families for the angular velocity parameter ω under consideration.
Series of horizontal–critical periodic orbits of the short-Trojan families with the angular velocity ω and the mass ratio
μ as parameters, are given. |
| |
| Keywords: | restricted three-body problem angular velocity long- and short-period families Trojan manifold |
| 本文献已被 SpringerLink 等数据库收录！ |
|
