Asymptotic and periodic motion around collinear equilibria in Chermnykh's problem

¹ Department of Engineering Sciences, University of Patras, 26500 Patras, Greece
² Department of Mathematics, University of Patras, 26500 Patras, Greece

Corresponding author: E. A. Perdios, perdios@des.upatras.gr

Received: 21 February 2003
Accepted: 29 September 2003

Abstract

In this paper we study the asymptotic motion to the collinear equilibrium points of Chermnykh's problem. More specifically, we give three kinds of non-symmetric doubly-asymptotic solutions emanating from L₁ and L₃. We also show that these solutions are closely connected to the families of periodic orbits generated around these equilibria.