If the Earth moves with a speed v relative to the cosmic microwave background, show that the effective temperature at an angle 8 relative to the direction of motion is T(0) = T_0[1 + (v/ c) cos €] because of Doppler shift. If the above "dipole" has a crest (T9=0) to trough (T8=π) amplitude T0=0 - TO=π = 6.6 mK, estimate v in km s^-1.
If the Earth moves with a speed v relative to the cosmic microwave background, show that the effective temperature at an angle 8 relative to the direction of motion is T(0) = T_0[1 + (v/ c) cos €] because of Doppler shift. If the above "dipole" has a crest (T9=0) to trough (T8=π) amplitude T0=0 - TO=π = 6.6 mK, estimate v in km s^-1.
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