Image:Rotating Ring Cyl Ring2RingRadar.png

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Image:Rotating Ring Cyl Ring2RingRadar.png

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Image:Rotating Ring Cyl Ring2RingRadar.png

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[edit] Summary

This schematic figure illustrates the concept of radar distance between two Langevin observers in Minkowski spacetime.

Langevin observers rotate rigidly around r = 0 (in a standard cylindrical chart) with angular velocity ω.

In the figure, a Langevin observer sends out a radar pulse at event A which hits another Langevin observer riding the same rotating ring at B′ which returns to the first observer at event A′;. To determine the radar distance, he divides the elapsed time (as measured by an ideal clock which he carries) by two.

At right, the ring is rotating counterclockwise. At left, it is rotating clockwise. Equal but oppositely directed rotation will result in different values for the radar distance. In other words, a pair of Langevin observers riding a rotating ring who each determine radar distances to their peer will obtain different values. This illustrates the fact that radar distance "in the large" is not symmetric.

This figure was created by User:Hillman using Xfig to export a png image; the labels were added using the GIMP.

[edit] Licensing

I, the creator of this work, hereby grant the permission to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Subject to disclaimers.

File history

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	Date/Time	Dimensions	User	Comment
current	23:50, 17 May 2006	401×161 (13 KB)	Hillman (Talk \| contribs)	(This schematic figure illustrates the concept of ''radar distance'' between two ''Langevin observers'' in Minkowski spacetime. Langevin observers rotate rigidly around r = 0 (in a standard cylindrical chart) with angular)