English

Integration of Few Body Celestial Systems Implementing Explicit Numerical Methods

Computational Physics 2020-12-08 v1 Earth and Planetary Astrophysics

Abstract

The NN-body problem is of historical significance because it was the first implementation of the Newtonian dynamical laws for the description of our Solar System. Motivated by this, the project's goal is to revisit this problem for small NN and find a solution for the trajectories of specific two-body and three-body configurations as well as the planetary orbits of our Solar System using a fourth order Runge-Kutta explicit iterative method. We find an adequate agreement in our results with planetary trajectories found online.

Keywords

Cite

@article{arxiv.2012.03479,
  title  = {Integration of Few Body Celestial Systems Implementing Explicit Numerical Methods},
  author = {Achilleas Mavrakis and Konstantinos Kritos},
  journal= {arXiv preprint arXiv:2012.03479},
  year   = {2020}
}

Comments

15 pages, 7 figures

R2 v1 2026-06-23T20:46:16.565Z