Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

July 23, 2022


Pages

39-46


DOI

Article

Computational algorithm to solve two–body problem using power series in geocentric system

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Authors

Sawsan Alhowaity Affiliation:
Department of Mathematics, College of Science & Humanities, Shaqra University, Shaqra 15551, Saudi Arabia


Abstract

In this paper, a universal computational algorithm is constructed by using F and G series, which can be applied for any of conic orbit. In particular, to find the solution of the two–body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is found using the obtained computational algorithm.


Keywords

Two–problem, F and G series, Computational algorithm, 70F05, 370F10, 70F15, 68W05


Citation

Alhowaity, S. (2021). Computational algorithm to solve two–body problem using power series in geocentric system. Applied Mathematics and Nonlinear Sciences, 6(2), 39–46. https://doi.org/10.2478/amns.2021.2.00300

Published by: Engineering Journals

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