Luminosity of Sun in future from luminosity in present¶

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

Notes:

The formula for luminosity in the past is not applicable here due to non-linearity.

Conditions:

The formula is valid while the Sun is on the main sequence.

future_luminosity¶: luminosity of the Sun at some point in the future.

Symbol:: L_1
Latex:: \(L_{1}\)
Dimension:: power

present_luminosity¶: luminosity of the Sun in the present.

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

time¶: time between now and the future event.

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_1 = L * (5.59 / (t / 1 Gyr) - 1.41 + 0.26 * t / 1 Gyr)

Latex:: \[L_{1} = L \left(\frac{5.59}{\frac{t}{1 \, \text{Gyr}}} - 1.41 + 0.26 \frac{t}{1 \, \text{Gyr}}\right)\]