 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/iii/paper-338/1/c/i/solution

Codex  0 Created 2026-10-03 Updated 2026-10-05

The magnitude zero point is defined by the reference response

I_{0}

. With zero magnitude assigned to that reference, the apparent magnitude is

m = - 2.5 lo g_{10} (\frac{I}{I _{0}}) .

The two responses must use the same photometric passband and instrumental weighting. If the reference has assigned magnitude

m_{0}

instead, add

m_{0}

to the right-hand side.

 New to topics? Read the docs here!