The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison
written by
Kostas Papamichalis
In this work 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.
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 …
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.
Newtonian and Relativistic Kepler Problem Source Code
The EJS JavaScript source code for the Newtonian and Relativistic Kepler Problem simulation. download 527kb .zip
Last Modified: September 28, 2021
<a href="https://www.compadre.org/OSP/items/detail.cfm?ID=15717">Papamichalis, Kostas. The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. 2021.</a>
K. Papamichalis, The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison (2021), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478>.
Papamichalis, K. (2021). The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. Retrieved October 5, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478
Papamichalis, Kostas. The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. 2021. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478 (accessed 5 October 2024).
Papamichalis, Kostas. The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. 2021. 5 Oct. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478>.
@misc{
Author = "Kostas Papamichalis",
Title = {The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison},
Volume = {2024},
Number = {5 October 2024},
Year = {2021}
}
%0 Electronic Source %A Papamichalis, Kostas %D 2021 %T The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison %V 2024 %N 5 October 2024 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478
Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Use the Easy Java Simulations Modeling and Authoring Tool to edit and to explore the source code for the The Kepler problem: The Newtonian and the relativistic (Special Theory) point of view.
1 ready-to-run example is available
Record Link
Save to my folders
