Apparent Magnitude Ratio Calculator

Formula

The formula to calculate the Brightness Ratio (R) is:

\[ R = 10^{\frac{m2 - m1}{2.5}} \]

Where:

Apparent Magnitude: A measure of the brightness of a celestial object as seen from Earth.
Brightness Ratio (R): The ratio of brightness between two celestial objects based on their apparent magnitudes.
Significance: Apparent magnitude is a logarithmic scale, with each step of 1 magnitude representing a brightness change by a factor of approximately 2.5. Lower magnitudes correspond to brighter objects, while higher magnitudes correspond to dimmer objects.

Let's say the apparent magnitude of the first object (m1) is 1 and the apparent magnitude of the second object (m2) is 3. Using the formula:

\[ R = 10^{\frac{3 - 1}{2.5}} = 6.31 \]

So, the Brightness Ratio (R) is 6.31.