Collinear configuration in the circular restricted four-body problem with a variable mass

Abstract

This paper investigates the motion properties of the fourth infinitesimal variable mass body under the gravitational forces of the three collinear spherical primaries. We determine the equations of motion and quasi-Jacobi integral for this configuration. The locations of parking points, regions of motion and Poincare surfaces of section are investigated. Finally, the stability states for the parking points are examined.