Rapidity - Wikipedia
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In relativity, rapidity is commonly used as a measure for relativistic velocity. Mathematically, rapidity can be defined as the hyperbolic angle that ...
Rapidity
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Measureofrelativisticvelocity
Inrelativity,rapidityiscommonlyusedasameasureforrelativisticvelocity.Mathematically,rapiditycanbedefinedasthehyperbolicanglethatdifferentiatestwoframesofreferenceinrelativemotion,eachframebeingassociatedwithdistanceandtimecoordinates.
Forone-dimensionalmotion,rapiditiesareadditivewhereasvelocitiesmustbecombinedbyEinstein'svelocity-additionformula.Forlowspeeds,rapidityandvelocityareproportionalbut,forhighervelocities,rapiditytakesalargervalue,withtherapidityoflightbeinginfinite.
Usingtheinversehyperbolicfunctionartanh,therapiditywcorrespondingtovelocityvisw=artanh(v/c)wherecisthevelocityoflight.Forlowspeeds,wisapproximatelyv/c.Sinceinrelativityanyvelocityvisconstrainedtotheinterval−c
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rapidity 迅速,急速,速度. ... Rapidity \Ra*pid"i*ty\ (r[.a]*p[i^]d"[i^]*t[y^]), n. [L. rapiditas: cf. F....
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In relativity, rapidity is commonly used as a measure for relativistic velocity. Mathematically, ...
