Luminosity of Sun in past from luminosity in present¶

The luminosity of the Sun in the past can be calculated from the luminosity of the Sun in the present.

Notes:

The formula for future luminosity is not applicable here due to non-linearity.

past_luminosity¶

luminosity of the Sun at some point in the past.

Symbol:: L_0
Latex:: \(L_{0}\)
Dimension:: power

present_luminosity¶

luminosity of the Sun in the present.

Symbol:: L
Latex:: \(L\)
Dimension:: power

time¶

time between the past even and today.

Symbol:: t
Latex:: \(t\)
Dimension:: time

one_billion_years¶

A quantity equal to one billion years.

Symbol:: 1 Gyr
Latex:: \(1 \, \text{Gyr}\)
Dimension:: time

law¶

L_0 = L / (1 + 0.4 * (1 - t / 1 Gyr / 4.6))

Latex:: \[L_{0} = \frac{L}{1 + 0.4 \left(1 - \frac{t}{1 \, \text{Gyr}} \frac{1}{4.6}\right)}\]