If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). Why is the speed of the Earth in its orbit negligible here?

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Chapter5: Relativity
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Problem 87AP: Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of...
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If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). Why is the speed of the Earth in its orbit negligible here?

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