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Relativistic and Newtonian Oscillator Comparison Model
written by Kostas Papamichalis
The Relativistic and Newtonian Oscillator Comparison Model simulates a linear oscillator in two contexts: a) Relativistic Mechanics and b) Newtonian Mechanics. We describe the relativistic and the Newtonian model and derive the corresponding equations of the motion in an inertial reference frame. The time t in the Newtonian model is identical with the world time in the relativistic model. The motion differential equations are expressed with free parameter the common time t. The initial conditions and the parameters of the oscillator which determine uniquely the motion in each model, have been chosen so that in the non-relativistic limit the predictions of the Newtonian and the relativistic model are identical.
        
The motion of the Newtonian and the relativistic oscillator are simulated in the virtual environment of the application. The user is free to change the mechanical energy of the system and calculate the variations to the period and the frequency of the motion caused by his choice. In addition, he can watch in real time, the time-position and the position-velocity graph and compare the predictions of each model.
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Oscillations & Waves
- Oscillations
= Simple Harmonic Motion
Relativity
- 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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Mirror:
http://users.sch.gr/kostaspapamic…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 license.
Rights Holder:
Kostas Papamichalis
Record Creator:
Metadata instance created April 14, 2023 by kostas papamichalis
Record Updated:
April 17, 2023 by Wolfgang Christian
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Record Link
AIP Format
K. Papamichalis, (2023), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681).
AJP/PRST-PER
K. Papamichalis, Relativistic and Newtonian Oscillator Comparison Model (2023), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681>.
APA Format
Papamichalis, K. (2023). Relativistic and Newtonian Oscillator Comparison Model. Retrieved May 23, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681
Chicago Format
Papamichalis, Kostas. Relativistic and Newtonian Oscillator Comparison Model. 2023. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681 (accessed 23 May 2024).
MLA Format
Papamichalis, Kostas. Relativistic and Newtonian Oscillator Comparison Model. 2023. 23 May 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681>.
BibTeX Export Format
@misc{ Author = "Kostas Papamichalis", Title = {Relativistic and Newtonian Oscillator Comparison Model}, Volume = {2024}, Number = {23 May 2024}, Year = {2023} }
Refer Export Format

%A Kostas Papamichalis %T Relativistic and Newtonian Oscillator Comparison Model %D 2023 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681 %O text/html

EndNote Export Format

%0 Electronic Source %A Papamichalis, Kostas %D 2023 %T Relativistic and Newtonian Oscillator Comparison Model %V 2024 %N 23 May 2024 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16442&DocID=5681


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Relativistic and Newtonian Oscillator Comparison Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

Use the Easy Java Simulations Modeling and Authoring Tool to edit and to explore the source code for the Linear oscillator: the relativistic and the Newtonian model.

relation by Wolfgang Christian

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