<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, computational algorithm with the aid of Mathematica software is specifically designed for the gravitational two–body problem. Mathematical module is established to find the position and velocity vectors. Application of this module for different kind of orbits (elliptic, parabolic and hyperbolic) leads to accurate results, which proved module efficiency and to be skillful. The classical power series method is to be utilized as the methodology.</p></abstract>

In this paper, computational algorithm with the aid of Mathematica software is specifically designed for the gravitational two–body problem. Mathematical module is established to find the position and velocity vectors. Application of this module for different kind of orbits (elliptic, parabolic and hyperbolic) leads to accurate results, which proved module efficiency and to be skillful. The classical power series method is to be utilized as the methodology.

Mathematical Algorithm for Solving Two–Body Problem

Department of Mathematics, Faculty of Science

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Mathematical Algorithm for Solving Two\u2013Body Problem"}

In this paper, computational algorithm with the aid of Mathematica software is specifically designed for the gravitational two–body problem. Mathematical...

Mathematical Algorithm for Solving Two–Body Problem

Published Online: Oct 28, 2020

Page range: 217 - 228

Received: Mar 06, 2020

Accepted: Apr 05, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00039

Keywords
Two–body problem, Power Series Methods, Mathematica software

© 2020 M. H. Alghamdi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mathematical Algorithm for Solving Two–Body Problem

Published Online: Oct 28, 2020

Page range: 217 - 228

Received: Mar 06, 2020

Accepted: Apr 05, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00039

KeywordsTwo–body problem, Power Series Methods, Mathematica software

© 2020 M. H. Alghamdi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Two–body problem, Power Series Methods, Mathematica software