Motion of a relativistic (blue) and a Newtonian (orange) oscillator

-9-8-7-6-5-4-3-2-1012345678910-10time= 0.00x:undefined,y:undefined

The phase-graph and the graph of the displacement versus time

time= 0.00x:undefined,y:undefined-10-8-6-4-20246810-0.4-0.3-0.2-0.10.00.10.20.30.4displacement xvelocity vThe phase-graph of the relativistic oscillatortime= 0.00x:undefined,y:undefined-10-8-6-4-20246810-0.4-0.3-0.2-0.10.00.10.20.30.4displacement xvelocity vThe phase-graph of the Newtonian oscillatorx:undefined,y:undefined0102030405060708090100-10-8-6-4-20246810time tdisplacement xThe displacement versus time - relativistic oscillatorx:undefined,y:undefined0102030405060708090100-10-8-6-4-20246810time tdisplacement xThe displacement versus time - Newtonian oscillator
x:undefined,y:undefined012345678910020406080100120140160energy fraction h=w/mc^2period of the oscillator T blue line: the relativistic model - orange line: the Newtonian model The period of each oscillator versus the energy fraction h=w/mc^2


Title and author:

Relativistic Oscillator
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author image kostaspapamichalis