Analysis of nominal halo orbits in the Sun–Earth system

In this paper, the effect of radiation pressure force on formation of the nominal halo orbit around the collinear point $$L_1$$ is estimated in the framework of Sun–Earth system. Using Lindstedt–Poincare technique, the periodic solutions up to third-order approximation are computed. Further, the Fourier series solutions of nominal halo orbit are also evaluated. With considering the radiation pressure force effect, the proposed analysis in this work can be used to design a trajectory for spacecraft moving in more realistic system.