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Exercise:
The Andromeda Galaxy is the nearest major galaxy to the Milky Way. Andromeda is moving towards us which causes a blueshift for light emitted by stars in the galaxy. The Doppler factor dfO. Calculate the relative speed between Andromeda and the Milky Way.

Solution:
The Doppler factor is fracf_sf_r sqrtfrac+beta-beta Solving for the dimensionless velocity beta yields leftfracf_sf_rright^ -beta + beta Longrightarrow beta left+leftfracf_sf_rright^right leftfracf_sf_rright^ - Longrightarrow beta beF fracleftdfright^-leftdfright^+ be This corresponds to a velocity v beta c be times ncc v approx resultvP where the minus sign means that the two galaxis are moving towards each other.
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Exercise:
The Andromeda Galaxy is the nearest major galaxy to the Milky Way. Andromeda is moving towards us which causes a blueshift for light emitted by stars in the galaxy. The Doppler factor dfO. Calculate the relative speed between Andromeda and the Milky Way.

Solution:
The Doppler factor is fracf_sf_r sqrtfrac+beta-beta Solving for the dimensionless velocity beta yields leftfracf_sf_rright^ -beta + beta Longrightarrow beta left+leftfracf_sf_rright^right leftfracf_sf_rright^ - Longrightarrow beta beF fracleftdfright^-leftdfright^+ be This corresponds to a velocity v beta c be times ncc v approx resultvP where the minus sign means that the two galaxis are moving towards each other.
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Attributes & Decorations
Branches
special relativity
Tags
doppler, wavelength
Difficulty
(2, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image