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A Series Solution Approach to the Circular Restricted Gravitational Three-Body Dynamical Problem 被引量:1

A Series Solution Approach to the Circular Restricted Gravitational Three-Body Dynamical Problem
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摘要 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. 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.
作者 Maha Hamed Alghamdi Aisha Abdu Alshaery Maha Hamed Alghamdi;Aisha Abdu Alshaery(Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA)
出处 《Journal of Applied Mathematics and Physics》 2020年第12期2703-2712,共10页 应用数学与应用物理(英文)
关键词 <i>n</i>-Body Problems Restricted Gravitational Problems Power Series Method Series Solution Approach <i>n</i>-Body Problems Restricted Gravitational Problems Power Series Method Series Solution Approach
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