This document contains the results of a calculation based on a discussion in a posting the usenet newsgroup sci.physics.research
The title of the posting is: "How to test length contraction by experiment?"
For the general discussion read this:
The table shows the results of three spaceships: C1, C2 and C3
| || T|| #n|| r|| v
|| accel|| circumf ||path length
| C1|| 0,1||100||0,215||13,537||850,537|| 1,354||135,367
| C2|| 1|| 10||1,000|| 6,283|| 39,478|| 6,283|| 62,832
| C3|| 10|| 1||4,642|| 2,916|| 1,832||29,164|| 29,164
What the table shows is that the spaceship closest to earth has the higest speed, higest acceleration and the longest pathlength.
- Column 1 shows the name of each spaceship.
- Column 2 shows the revolution time T in years of each orbit.
- Column 3 shows the number of orbits #n for each spaceship.
The number of orbits is selected such that the total travel time for each spaceship is 10 Years relative to the frame of the earth.
- Column 4 shows the radius of each spaceship. The radius is calculated based of Keppler's third law. See:
In this particular case r^2= T^3 or r=T^(2/3)
- Column 5 shows the speed of each space ship i.e. v = 2pi*r/T
- Column 6 shows the acceleration of each spaceship i.e. alpha = v^2/r
- Column 7 shows the circumference of each orbit i.e. 2*pi*r
- Column 8 shows the total path length i.e. circumference * #n
If all the spaceships have a clock based on lightsignals than the clock of C1 will run the slowest relative to the clock in the frame of the earth.
Created: 7 August 2019
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