On the Periodic Structure of the Planar Photogravitational Hill Problem

Authors

Elbaz I. Abouelmagd, Mathematics Department, Faculty of Science and Arts , University of Jeddah, Saudi Arabia.\\ National Research Institute of Astronomy and Geophysics, Cairo, Egypt.\\ Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.Follow
M. S. Alhothuali, Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.Follow
Juan L. G. Guirao, Departamento de Matem´atica Aplicada y Estad´ıstica. Universidad Polit´ecnica de Cartagena, Hospital de Marina, 30203–Cartagena, Regi´on de Murcia, SpainFollow
H. M. Malaikah, Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.Follow

Author Country (or Countries)

Saudi Arabia.

Abstract

Using the averaging theory of dynamical systems we describe in an analytical way the periodic structure and the stability of periodic orbits for the planar photogravitational hill problem. Moreover, we present a proof of the C 1–non integrability for this problem.

Recommended Citation

I. Abouelmagd, Elbaz; S. Alhothuali, M.; L. G. Guirao, Juan; and M. Malaikah, H. (2023) "On the Periodic Structure of the Planar Photogravitational Hill Problem," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 24.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/24