Halo Orbits under Some Perturbations in cr3bp

The general idea of this paper is to study the effect mass variation a test particle on periodic orbits in restricted three-body model. In circular problem (cr3bp), two bigger bodies (known as primary and secondary or sometime only primaries) are placed at either side origin abscissa while moving around their common center (here origin), third body smallest infinitesimal particle) space varies its according Jeans law. Using Lindstedt–Poincaré method, we determine equations motion solutions under various perturbations. time-series halo one collinear critical points model drawn effects solar radiation pressure oblateness secondary. general, these dynamical properties symmetrical.