Resumo
In this dissertation we aim to study the applications of numerical methods to orbital dynamics, among which the main ones are the 4th order Runge-Kutta and debugging via manufactured solution. A brief introduction to the the force between two bodies in space is developed in order to use it for modeling the main problem. In addition, we will work with algorithms developed in Python, seeking to apply the concepts studied by solving and debugging an ODE (Ordinary Differential Equation) and, at the end, an orbital simulation between the Sun-Earth-Moon bodies is presented.