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The transverse Doppler effect (TDE) may refer to (a) the nominal blueshift predicted by special relativity that occurs when the emitter and receiver are at their points of closest approach; or (b) the nominal redshift predicted by special relativity when the receiver sees the emitter as being at its closest approach. [6]
In physics, the Ives–Stilwell experiment tested the contribution of relativistic time dilation to the Doppler shift of light. [1] [2] The result was in agreement with the formula for the transverse Doppler effect and was the first direct, quantitative confirmation of the time dilation factor. Since then many Ives–Stilwell type experiments ...
This lower frequency from the moving source can be attributed to the time dilation effect and is often called the transverse Doppler effect and was predicted by relativity. In 2010 time dilation was observed at speeds of less than 10 metres per second using optical atomic clocks connected by 75 metres of optical fiber. [26]
The emergence of the muons is caused by the collision of cosmic rays with the upper atmosphere, after which the muons reach Earth. The probability that muons can reach the Earth depends on their half-life, which itself is modified by the relativistic corrections of two quantities: a) the mean lifetime of muons and b) the length between the upper and lower atmosphere (at Earth's surface).
The link between f_o and f_s in the section "Transverse Doppler effect" (eq. 2 of that section) states exactly this. So eq. 2 of transverse doppler section should reduce to eq. 4 from top if you take theta = pi/2. But it does not, as eq.3 of transverse doppler section states f_0 = f_s / gamma, not *times* gamma.
Both special and general relativity require that the receiver should observe no Doppler shift. Surprisingly, this obvious result has been disputed, with some claiming that emitter and absorber may be considered to be in uniform relative motion, and that a special relativity requires a transverse Doppler shift to be observed.
The effects of special relativity can phenomenologically be derived from the following three fundamental experiments: [8] Michelson–Morley experiment, by which the dependence of the speed of light on the direction of the measuring device can be tested. It establishes the relation between longitudinal and transverse lengths of moving bodies.
Hi all, as I read the article I found it a bit unclear: for someone who didn't study special relativity it's not easy to understand what the "trsansverse Doppler" means, since it's one of the most beautiful effects of time dilatation I would suggest to put in a figure explaining how (and why) the wavelenghts are different in the two frames (for the longitudinal Doppler effect it's ...