physics.light_aberration

Title : Calculate Light Aberration (astronomy)

Description :

The below algorithm calculates astronomical light aberration as obtained using Special Relativity.

Functions

get_aberration_angle(→ float)

This method calculates astronomical light aberration.

Module Contents

physics.light_aberration.get_aberration_angle(angle_rest: float, velocity_over_c: float) → float

This method calculates astronomical light aberration. The angle at rest ‘angle_rest’ is given in radians [rad] and is in the range (-pi, pi). The relative velocity of observer w.r.t. to the light emitting object is expressed by ‘velocity_over_c’ that is given as ratio for velocity w.r.t. the speed of light c and is in the range (0, 1).

https://en.wikipedia.org/wiki/Aberration_(astronomy)

tan(phi/2) = sqrt((1 - v/c)/(1 + v/c)) * tan(theta/2)

Where v is the relative velocity, phi is the observed angle with respect to the velocity vector (affected by light aberration), and theta is the angle observed angle in the limit of veclocity being equal to 0.

Examples: >>> get_aberration_angle(0.2, 0.1) 0.18102 >>> get_aberration_angle(0.2, 0) 0.2 >>> get_aberration_angle(0, 0.2) 0.0 >>> get_aberration_angle(-1.5707963267948966, 0.7) -0.7954