Author(s)

M. N. Ismail^1*, A. H. Ibrahim¹, A. S. Zaghrout², S. H. Younis², F. S. Elmalky², L. E. Elmasry²

¹Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt.
²Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt.

In this work, the Hamiltonian of the four-body problem is considered under the effects of solar radiation pressure. The equations of motion of the infinitesimal body are obtained in the Hamiltonian canonical form. The libration points and the corresponding Jacobi constants are obtained with different values of the solar radiation pressure coefficient. The motion and its stability about each point are studied. A family of periodic orbits under the effects of the gravitational forces of the primaries and the solar radiation pressure are obtained depending on the pure numerical method. This purpose is applied to the Sun-Earth-Moon-Space craft system, and the results obtained are in a good agreement with the previous work such as (Kumari and Papadouris, 2013).

Restricted Four-Body Problem, Poincare Surface Sections, Libration Points, Stability, Periodic Orbits

Ismail, M. , Ibrahim, A. , Zaghrout, A. , Younis, S. , Elmalky, F. and Elmasry, L. (2019) Solar Radiation Pressure Effects on Stability of Periodic Orbits in Restricted Four-Body Problem. World Journal of Mechanics, 9, 191-204. doi: 10.4236/wjm.2019.98013.