Understanding Magnitude
* The magnitude scale is logarithmic: A difference of 5 magnitudes corresponds to a factor of 100 in brightness.
* Brighter stars have lower magnitudes: For example, a star with magnitude -1 is brighter than a star with magnitude 0.
Calculations
1. Rigel's Magnitude: Rigel has an apparent magnitude of about 0.12.
2. Brightness Difference: We want a star that's 10,000 times brighter than Rigel.
3. Magnitude Change: Since a magnitude difference of 5 corresponds to a brightness difference of 100, a brightness difference of 10,000 (100 x 100) would correspond to a magnitude difference of 10 (5 + 5).
4. New Magnitude: To find the new magnitude, subtract the magnitude difference from Rigel's magnitude: 0.12 - 10 = -9.88.
Answer:
A star ten thousand times brighter than Rigel would have an apparent magnitude of approximately -9.88.
Important Note: This calculation assumes a linear relationship between brightness and magnitude. In reality, the relationship is not perfectly linear, especially at very bright magnitudes.
