Difference between revisions of "Statistical properties of CMB"
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The magnitude of dipole component of anisotropy generated by the Solar system's motion relative to the relic radiation equals $\Delta T_d\simeq3.35mK$. Determine the velocity of the Solar system relative to the relic radiation. | The magnitude of dipole component of anisotropy generated by the Solar system's motion relative to the relic radiation equals $\Delta T_d\simeq3.35mK$. Determine the velocity of the Solar system relative to the relic radiation. | ||
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Estimate the magnitude of annual variations of CMB anisotropy produced by rotation of the Earth around the Sun. | Estimate the magnitude of annual variations of CMB anisotropy produced by rotation of the Earth around the Sun. | ||
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Show that the angular resolution $\Delta\theta$ is related to the maximum harmonic $l_{max}$ (in the spherical harmonics decomposition) by \(\Delta\theta={180^\circ}/{l_{max}}.\) | Show that the angular resolution $\Delta\theta$ is related to the maximum harmonic $l_{max}$ (in the spherical harmonics decomposition) by \(\Delta\theta={180^\circ}/{l_{max}}.\) | ||
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Does the measurement of velocity relative to the CMB mean violation of the relativity principle and an attempt to introduce an absolute reference frame? | Does the measurement of velocity relative to the CMB mean violation of the relativity principle and an attempt to introduce an absolute reference frame? | ||
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Revision as of 20:47, 1 October 2012
Problem 1
Construct the differential equation for the photons' distribution function $\varphi(\omega,t)$ in a homogeneous and isotropic Universe.
Problem 2
The magnitude of dipole component of anisotropy generated by the Solar system's motion relative to the relic radiation equals $\Delta T_d\simeq3.35mK$. Determine the velocity of the Solar system relative to the relic radiation.
Problem 3
Estimate the magnitude of annual variations of CMB anisotropy produced by rotation of the Earth around the Sun.
Problem 4
Show that the angular resolution $\Delta\theta$ is related to the maximum harmonic $l_{max}$ (in the spherical harmonics decomposition) by \(\Delta\theta={180^\circ}/{l_{max}}.\)
Problem 5
Does the measurement of velocity relative to the CMB mean violation of the relativity principle and an attempt to introduce an absolute reference frame?