期刊名称：Journal of Advances in Information Technology
印刷版ISSN：1798-2340
出版年度：2019
卷号：10
期号：4
页码：160-164
DOI：10.12720/jait.10.4.160-164
出版社：Academy Publisher
摘要：The planetary motion within our solar system is a topic that has been studied for hundreds of years and has given rise to the science of astronomy. It is very important to know the positions of the planets in our solar system, as many of our current scientific research depends on it. Space exploration, for example, is a perfect example of when we need to know the exact positions of the planets in our solar system. Since it takes many years to send a rover or satellite to a planet, we will need to be able to predict the position of that planet many years into the future. Therefore, I present a second order Runge-Kutta simulation to predict the future position and velocity of the planets in our solar system based on Newtonian laws of motion. The equations of motion are implemented into a Mathematia script which animates the motion of each planet by generating a single static plot at each iteration within the while loop, stepping forward in time, re-plotting overtop the previous frame. This step-by-step numerical simulation is typically overlooked as an animation technique available in Mathematica. I herein provide an introduction to the software, an intuitive comparison of numerical vs analytical solutions to differential equations, and finally present the results of the simulation.
