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 December 1, 2022, 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 1 December 2022).

Papamichalis, Kostas. The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. 2021. 1 Dec. 2022 <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 = {2022},
Number = {1 December 2022},
Year = {2021}
}

%0 Electronic Source %A Papamichalis, Kostas %D 2021 %T The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison %V 2022 %N 1 December 2022 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478

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