The Aberration of Light

Consider a monochromatic light source at rest at the origin of an inertial frame O' moving with a speedalong the x axis of an inertial frame O. A light pulse is emitted from the origin of O' in theplane has components of velocity and

The components of velocity of the light pulse in O are



Dividing (2) by (1) gives

For the special case when the pulse of light is emitted along the y' axis of O' so that and

The effect of the aberration is that as the speed of O' increases,the direction of the light pulse in O becomes more aligned with the x axis

Ifthen forrespectively then the angles %theta that the light pulse makes with the x axis in O are 84, 53 and 26 degrees respectively.