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.

• Download ejss_model_relativisticOscillator_KPM02.zip - 401kb Compressed File

Last Modified April 17, 2023

The theory of the Newtonian and the relativistic oscillator motion is described.

• Download RelativisticOscillator_en.pdf - 141kb Adobe PDF Document

Last Modified April 17, 2023

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The EJS scource code for the Oscillator Comparison Model.  Open this archive in the JavaScript version of the EJS authoring tool.

• Download ejss_src_relativisticOscillator_KPM02.zip - 206kb Compressed File

Last Modified April 17, 2023