Berlet, Austen and McKeon, Dennis G. C. and Chishtie, Farrukh and Houde, Martin (2011) The apparent velocity and acceleration of relativistically moving objects. Canadian Journal of Physics, 89 (6). pp. 657-660. ISSN 0008-4204 http://resolver.caltech.edu/CaltechAUTHORS:20110928-100715060
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Although special relativity limits the actual velocity of a particle to the velocity of light, c, the observed velocity need not be the same as the actual velocity, as the observer is only aware of the position of a particle at the time in the past when it emitted the detected signal. We consider the apparent speed and acceleration of a particle in two cases, one when the particle is moving with a constant speed and the other when it is moving with a constant acceleration. One curious feature of our results is that in both cases, if the actual velocity of the particle approaches c, then the apparent velocity approaches infinity when it is moving toward the observer and c/2 when it is moving away from the observer.
|Additional Information:||© 2011 Canadian Science Publishing. Published by NRC Research Press. Received 22 February 2011. Accepted 22 April 2011. Published at www.nrcresearchpress.com/cjp on 20 June 2011. DGCM would like to thank F. Brandt for helpful discussions and R. Macleod for a suggestion.|
|Classification Code:||PACS: 03.30.+p|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||28 Sep 2011 20:27|
|Last Modified:||28 Sep 2011 20:27|
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