Author(s)

Maha Hamed Alghamdi, Aisha Abdu Alshaery^*

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA.

The present manuscript examines the circular restricted gravitational three-body problem (CRGTBP) by the introduction of a new approach through the power series method. In addition, certain computational algorithms with the aid of Mathematica software are specifically designed for the problem. The algorithms or rather mathematical modules are established to determine the velocity and position of the third body’s motion. In fact, the modules led to accurate results and thus proved the new approach to be efficient.

n-Body Problems, Restricted Gravitational Problems, Power Series Method, Series Solution Approach

Alghamdi, M. and Alshaery, A. (2020) A Series Solution Approach to the Circular Restricted Gravitational Three-Body Dynamical Problem. Journal of Applied Mathematics and Physics, 8, 2703-2712. doi: 10.4236/jamp.2020.812200.