Article
Mathematical Algorithm for Solving Two–Body Problem
Authors
and
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.
Keywords
Two–body problem, Power Series Methods, Mathematica software, 37N05, 37M10, 70F05, 70F15
Citation
Alghamdi, M. H. & Alshaery, A. A. (2020). Mathematical algorithm for solving two–body problem. Applied Mathematics and Nonlinear Sciences, 5(2), 217–228. https://doi.org/10.2478/amns.2020.2.00039
M. H. Alghamdi and A. A. Alshaery, “Mathematical algorithm for solving two–body problem,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 217–228, 2020, doi: 10.2478/amns.2020.2.00039.
Alghamdi MH, Alshaery AA. Mathematical algorithm for solving two–body problem. Applied Mathematics and Nonlinear Sciences. 2020;5(2):217–228. doi:10.2478/amns.2020.2.00039.
Alghamdi, M. H. and Alshaery, A. A. (2020), ‘Mathematical algorithm for solving two–body problem’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 217–228. Available at: https://doi.org/10.2478/amns.2020.2.00039.
Alghamdi, M. H., and A. A. Alshaery. “Mathematical Algorithm for Solving Two–body Problem.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 217–228. https://doi.org/10.2478/amns.2020.2.00039.
Alghamdi, M. H., and A. A. Alshaery. “Mathematical Algorithm for Solving Two–body Problem.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 217–228. https://doi.org/10.2478/amns.2020.2.00039.
Export citation
Published by: Engineering Journals
