## 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
- 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:
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)
- 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

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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