Model Testing and Parameter Estimation 197- Use Wien’s constant, Equation (6.120) and the CMB temperature to determine
the wavelength of the CMB. - Use the present radiation-energy density to calculate the pressure due to radia-
tion in the Universe. - Show that an observer moving with velocity훽in a direction휃relative to the
CMB sees the rest frame blackbody spectrum with temperature푇as a blackbody
spectrum with temperature
푇′=푇
훾( 1 −훽cos휃). (8.63)
To first order in훽this gives the dipole anisotropy Equation (8.17) [1].- The dipole anisotropy is measured to be 1. 2 × 10 −^3 푇 0. Derive the velocity of Earth
relative to the comoving coordinate system. - Use Equation (5.55) and훺휆= 0 .685 to express푡eqin years.
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