Understanding Magnitude
The magnitude system is a bit counterintuitive. A *lower* magnitude number means a *brighter* star.
Calculating the Brightness Difference
The difference in magnitude between two stars tells you the brightness ratio. Here's the formula:
* Brightness Ratio = 2.512^(Magnitude Difference)
Applying the Formula
1. Magnitude Difference: Star A (3rd magnitude) - Star B (5th magnitude) = 2 magnitudes
2. Brightness Ratio: 2.512 ^ 2 = 6.31
Conclusion
Star A is 6.31 times brighter than Star B.
