Astro 201 – Radiative Processes – Solution Set 10
نویسنده
چکیده
For the jet pointing towards us: the spectrum in the jet rest frame is a power law from ν1 to ν2. In the observer frame, every frequency gets Doppler shifted by D+ = γ(1 + β cos θ) > 0, where β = v/c > 0 (RL equation 4.12b). The factor of 1 + β cos θ is the usual Doppler shift (train-whistle effect), while the factor of γ arises from time dilation. So the whole forward jet spectrum shifts to higher frequencies, between D+ν1 and D+ν2. I am indebted to Julia Kregenow for naming this problem.
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