If the waves are shorter, more will be able to move by during each second.) As the wavelength decreases, the frequency must increase. This means that motion cannot affect the speed, but only the wavelength and the frequency. (Remember, all light waves travel at the speed of light through empty space, no matter what. To observer A, the waves seem to follow one another more closely, at a decreased wavelength and thus increased frequency. The source is seen in four positions, S 1, S 2, S 3, and S 4, each corresponding to the emission of one wave crest. In Figure 2b, we show the situation from the perspective of three observers. From the point of view of observer A, this motion of the source has decreased the distance between crests-it’s squeezing the crests together, this observer might say. Between the time one crest is emitted and the next one is ready to come out, the source has moved a bit, toward the bottom of the page. On the other hand, if the source of light is moving with respect to the observer, as seen in Figure 2b, the situation is more complicated. Observers located anywhere else would see the same thing. The observer, who happens to be located in the direction of the bottom of the image, sees the light waves coming nice and evenly, one wavelength apart. The crests are separated by a distance, λ, where λ is the wavelength. The light waves spread out evenly in all directions, like the ripples from a splash in a pond. The source gives off a series of waves, whose crests we have labeled 1, 2, 3, and 4. In Figure 1a, the light source (S) is at rest with respect to the observer. Observer B, whose line of sight is perpendicular to the source’s motion, sees no change in the waves (and feels left out). Observer C sees the waves stretched out by the motion and sees a redshift. Observer A sees waves compressed by this motion and sees a blueshift (if the waves are light). Wave crest 1 was emitted when the source was at position S 4, crest 2 at position S 2, and so forth. (b) The source S now moves toward observer A and away from observer C. (a) A source, S, makes waves whose numbered crests (1, 2, 3, and 4) wash over a stationary observer. The general principle, now known as the Doppler effect, is illustrated in Figure 1.įigure 1: Doppler Effect. He then applied what he learned to all waves, including light, and pointed out that if a light source is approaching or receding from the observer, the light waves will be, respectively, crowded more closely together or spread out. In 1842, Christian Doppler first measured the effect of motion on waves by hiring a group of musicians to play on an open railroad car as it was moving along the track. And most objects in the universe do have some motion relative to the Sun. If a star is moving toward or away from us, its lines will be in a slightly different place in the spectrum from where they would be in a star at rest. There is a complicating factor in learning how to decode the message of starlight, however. Astronomers can learn about the elements in stars and galaxies by decoding the information in their spectral lines. The last two sections introduced you to many new concepts, and we hope that through those, you have seen one major idea emerge. Describe how we can use the Doppler effect to deduce how astronomical objects are moving through space.Explain why the spectral lines of photons we observe from an object will change as a result of the object’s motion toward or away from us.If the waves involved are visible light, then the colors of the light change slightly.By the end of this section, you will be able to: When the source of waves moves toward you, the wavelength decreases a bit. Compared to the waves at rest, they have changed from slightly more frequent when coming toward you, to slightly less frequent when moving away from you. When a train whistle or police siren approaches you and then moves away, you will notice a decrease in the pitch (which is how human senses interpret sound wave frequency) of the sound waves. You may have heard the Doppler effect with sound waves. Observers between B and C would observe lengthening of the light waves that are along their line of sight. Observers between A and B would observe some shortening of the light waves for that part of the motion of the source that is along their line of sight. Sideways motion does not produce such an effect. We can see from this illustration that the Doppler effect is produced only by a motion toward or away from the observer, a motion called radial velocity. The wavelength and frequency remain the same as they were in part (a) of the figure. To observer B, in a direction at right angles to the motion of the source, no effect is observed. The crests arrive with an increased wavelength and decreased frequency. As a result, the waves are not squeezed together but instead are spread out by the motion of the source. For her, the source is moving away from her location.
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