## Spaceship parameters

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: https://groups.google.com/forum/?fromgroups#!topic/sci.physics.research/JesOwTVZ-t4

 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
The table shows the results of three spaceships: C1, C2 and C3
1. Column 1 shows the name of each spaceship.
2. Column 2 shows the revolution time T in years of each orbit.
3. 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.
4. Column 4 shows the radius of each spaceship. The radius is calculated based of Keppler's third law. See: https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#Third_law_of_Kepler
In this particular case r^2= T^3 or r=T^(2/3)
5. Column 5 shows the speed of each space ship i.e. v = 2pi*r/T
6. Column 6 shows the acceleration of each spaceship i.e. alpha = v^2/r
7. Column 7 shows the circumference of each orbit i.e. 2*pi*r
8. Column 8 shows the total path length i.e. circumference * #n
What the table shows is that the spaceship closest to earth has the higest speed, higest acceleration and the longest pathlength.
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.

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Created: 7 August 2019

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