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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.
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Relativity
- Mathematics
- Special Relativity
= Relativistic Kinematics
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/javascript
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Free access
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This material is released under a Creative Commons Attribution-Share Alike 4.0 license.
Rights Holder:
Kostas Papamichalis
Record Creator:
Metadata instance created September 27, 2021 by kostas papamichalis
Record Updated:
September 28, 2021 by Wolfgang Christian
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AIP Format
K. Papamichalis, (2021), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478).
AJP/PRST-PER
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>.
APA Format
Papamichalis, K. (2021). The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. Retrieved May 2, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478
Chicago Format
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 2 May 2024).
MLA Format
Papamichalis, Kostas. The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison. 2021. 2 May 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478>.
BibTeX Export Format
@misc{ Author = "Kostas Papamichalis", Title = {The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison}, Volume = {2024}, Number = {2 May 2024}, Year = {2021} }
Refer Export Format

%A Kostas Papamichalis %T The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison %D 2021 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478 %O text/html

EndNote Export Format

%0 Electronic Source %A Papamichalis, Kostas %D 2021 %T The Kepler problem: The Newtonian and the relativistic (Special Theory) Comparison %V 2024 %N 2 May 2024 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15717&DocID=5478


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