SkipCaptcha
1,279
edits
Changes
Jump to navigation
Jump to search
mLine 12:
Line 12: − +
→Modern definition
In the 1800s, Norman R. Pogson proposed and codified magnitude to be a logarithmic scale where the difference between the first and fifth magnitude is one hundred times brighter. The ratio of one number to the next is the fifth root of one hundred, or about 2.512 - known as the Pogson ratio.<ref name=britannica/> For example, this means a magnitude +5.0 star is about 2.512 times brighter than a magnitude 6.0 star.
In the 1800s, Norman R. Pogson proposed and codified magnitude to be a logarithmic scale where the difference between the first and fifth magnitude is one hundred times brighter. The ratio of one number to the next is the fifth root of one hundred, or about 2.512 - known as the Pogson ratio.<ref name=britannica/> For example, this means a magnitude +5.0 star is about 2.512 times brighter than a magnitude 6.0 star.
The apparent magnitude of a star, ''m''<sub>*M/sub> can be computed using,<ref>{{cite web|url=http://astronomyonline.org/Science/Magnitude.asp#:~:text=A%20Magnitude%20is%20the%20measure,of%20Magnitude%3A%20apparent%20and%20absolute.|title=Formulas - Magnitudes|accessdate=July 28, 2020|publisher=astronomyonline.org}}</ref>
The apparent magnitude of a star, ''m''<sub>*</sub> can be computed using,<ref>{{cite web|url=http://astronomyonline.org/Science/Magnitude.asp#:~:text=A%20Magnitude%20is%20the%20measure,of%20Magnitude%3A%20apparent%20and%20absolute.|title=Formulas - Magnitudes|accessdate=July 28, 2020|publisher=astronomyonline.org}}</ref>
::<math>m_* - m_c = -2.5 \log_10 \frac{b_*}{b_c}</math>
::<math>m_* - m_c = -2.5 \log_10 \frac{b_*}{b_c}</math>
where ''m''<sub>c</sub> is the apparent magnitude of a comparison star and ''b''<sub>*</sub> and ''b''<sub>c</sub> are the brightness of the star and comparison star as seen on Earth. The <math>\log_10</math> refers to a base 10 [[logarithm]].
where ''m''<sub>c</sub> is the apparent magnitude of a comparison star and ''b''<sub>*</sub> and ''b''<sub>c</sub> are the brightness of the star and comparison star as seen on Earth. The <math>\log_10</math> refers to a base 10 [[logarithm]].