Compton scattering from moving frame

How does an observer see a Compton Scattering from a reference frame moving with constant speed $$\vec{v}$$ in the photon direction? (Assuming electron is at rest in the lab frame)

• What does electron do in the observer frame? – stuffu Feb 18 at 21:23
• I guess it moves with speed v in the opposite direction – Jorge Casajus Feb 18 at 21:45