What Steps Are Missing in Deriving Pogson's Law?

  • Thread starter Thread starter 71GA
  • Start date Start date
  • Tags Tags
    Derivation Law
AI Thread Summary
The discussion revolves around the challenge of deriving Pogson's Law, with the user sharing their progress in the mathematical formulation. They present equations that relate the magnitudes and fluxes of celestial objects, indicating a close approach to the solution. The user seeks assistance in identifying any missing steps in their derivation process. They express confidence in their understanding, suggesting they are near completion. The conversation highlights the complexities of astronomical calculations and the importance of precise mathematical relationships.
71GA
Messages
208
Reaction score
0
Hello i am strugling to derive Pogson's law, i feel i am soo close, but i am not there yet. Here is what i ve done soo far.


\begin{equation}
\begin{split}
j_6 \cdot 100 &= j_1\\
\frac{j_6}{j_1} &= \frac{1}{100}\\
\frac{j_6}{j_1} &= 10^{(-2)}\\
\frac{j_6}{j_1} &= 10^{-0,4\cdot 5}\\
\frac{j_6}{j_1} &= 10^{-0,4\cdot (m_6 - m_1)}\\
\frac{j_1}{j_2} &= 10^{-0,4\cdot (m_1 - m_2) }\\
\frac{j_1}{j_2} &= 10^{-0,4\cdot (m_1 - m_2) }\\
\frac{j_1}{j_2} &= 2,5^{-(m_1 - m_2) }\\
\log_{10} \frac{j_1}{j_2} &= \log_{10} 2,5^{-(m_1 - m_2) }\\
\log_{10} \frac{j_1}{j_2} &= -(m_1 - m_2) \cdot \log_{10} 2,5\\
(m_1 - m_2) &= -\frac{\log_{10} \frac{j_1}{j_2}}{\log_{10} 2,5}\\
\end{split}
\end{equation}

What am i missing?
 
Astronomy news on Phys.org
I allready got it. TY
 
Is a homemade radio telescope realistic? There seems to be a confluence of multiple technologies that makes the situation better than when I was a wee lad: software-defined radio (SDR), the easy availability of satellite dishes, surveillance drives, and fast CPUs. Let's take a step back - it is trivial to see the sun in radio. An old analog TV, a set of "rabbit ears" antenna, and you're good to go. Point the antenna at the sun (i.e. the ears are perpendicular to it) and there is...
This thread is dedicated to the beauty and awesomeness of our Universe. If you feel like it, please share video clips and photos (or nice animations) of space and objects in space in this thread. Your posts, clips and photos may by all means include scientific information; that does not make it less beautiful to me (n.b. the posts must of course comply with the PF guidelines, i.e. regarding science, only mainstream science is allowed, fringe/pseudoscience is not allowed). n.b. I start this...

Similar threads

Back
Top