The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison Documents

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Main Document

The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison 

written by Kostas Papamichalis

In this simulation, we solve the Kepler problem in the context of two theories: a) the Special Theory of Relativity and b) the Newtonian Mechanics. We simulate the motion of a particle according to the predictions of each model, for the same initial conditions. We observe and calculate the precession of the perihelion and the aphelion of the orbit for the case of the relativistic model and the closed-elliptic path in the Newtonian model. We check our calculations and the virtual measurements, by implementing several activities in the environment of the simulation.

Released under a Creative Commons Attribution-Share Alike 4.0 license.

Last Modified September 28, 2021

Supplemental Documents

Kepler Problem: the Newtonian and the relativistic theory 

This simulation describes the Kepler problem in the context of two theories: a) the Special Theory of
Relativity and b) the Newtonian Mechanics. We simulate the motion of a particle according to the
predictions of each model, for the same initial conditions. We observe and calculate the precession
of the perihelion of the orbit for the case of the relativistic model and the closed-elliptic path in the
Newtonian model. We check our calculations and the virtual measurements, by implementing several
activities in the environment of the simulation.

Last Modified September 28, 2021

Source Code Documents

Newtonian and Relativistic Kepler Problem Source Code 

The EJS JavaScript source code for the Newtonian and Relativistic Kepler Problem simulation.

Last Modified September 28, 2021