Caption: The cosmic microwave background (CMB) dipole anisotropy in a whole-sky sky map in Mollweide projection or in something like it.
The spectral colors (violet, blue, green, yellow, orange, red) represent the low to high temperature anomaly.
The sky map is a bit dated since it shows data from the COBE probe (1989--1993). However, the 2018 value for the time-constant amplitude of the anomaly is 3.36 mK = 0.00336 K (Planck 2018 results. III. (2018, p. 22)). Superimposed on the time-constant CMB dipole anisotropy is a small time-varying anisotropy of amplitude of is 271 μK = 0.271 mK= 0.000271 K (Planck 2018 results. III. (2018, p. 21)) which is NOT represented in the figure.
Note anomaly (time-constant and time-varying) is everywhere very small compared to the (mean) CMB temperature T = 2.72548(57) (Fixsen 2009).
The translational motion of Sun gives the time-constant CMB dipole anisotropy and the translational motion Earth (which is due to the Earth's orbital motion) gives the time-varying CMB dipole anisotropy
In analyzing the CMB intrinsic anisotropies, the CMB dipole anisotropy is subtracted off the data as a first step.
Note the Doppler effect (or shift) is covered in IAL 7: Spectra: The Doppler Effect.