Integration of Few Body Celestial Systems Implementing Explicit Numerical Methods

2020/12/07 by Achilleas Mavrakis, Mavrakis, Achilleas, Konstantinos Kritos +1
Engineering · #Advanced Data Processing Techniques #Aerospace Engineering and Control Systems #Computational Physics (physics.comp-ph) #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Inertial Sensor and Navigation

paper · pdf · doi:10.48550/arxiv.2012.03479

openalex publication_date 2020/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The N-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 N 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.

Related

• The n-body problem -- an alternative scheme for determining solutions for planetary systems
• The Classical Gravitational N-Body Problem
• A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem
• N-body Simulations of the Solar System with CPU-based Parallel Methods
• A Generalized approach for Approximate Solutions to the N Body Problem