Ratio of luminosities from ratio of masses of stars

The comparisons of masses and luminosities for most stars revealed the following relationship: luminosity is approximately proportional to the fourth power of mass.

Conditions:

  1. The masses must obey the inequality \(0.43 m_1 < m_2 < 2 m_1\), see link for more information. The symbols \(m_1, m_2\) refer to those defined below.

Links:

  1. Wikipedia.

first_mass

mass of the first star.

Symbol:

m_1

Latex:

\(m_{1}\)

Dimension:

mass

second_mass

mass of the second star.

Symbol:

m_2

Latex:

\(m_{2}\)

Dimension:

mass

first_luminosity

luminosity of the first star.

Symbol:

L_1

Latex:

\(L_{1}\)

Dimension:

power

second_luminosity

luminosity of the second star.

Symbol:

L_2

Latex:

\(L_{2}\)

Dimension:

power

law

L_2 / L_1 = (m_2 / m_1)^4

Latex:
\[\frac{L_{2}}{L_{1}} = \left(\frac{m_{2}}{m_{1}}\right)^{4}\]