Lifetime of star on main sequence¶

The main sequence is a stage of stellar evolution following the protostar stage. At the beginning of the main sequence stage, the age of the star is considered to be zero. The lifetime of a star can be approximated from the mass of the star.

Notation:

\(M_\odot\) (M_Sun) is solar_mass.

Notes:

The indicator has the value of \(4.75\) for stars with mass of \(0.7\) to \(2\) solar masses, and \(4.75 m + 2.125\) for stars with mass of \(0.1\) to \(0.7\) solar masses. Here \(m\) refers to the mass of the star.

Links:

Wikipedia. Corresponds to the current law with a fixed indicator value.

lifetime¶: The lifetime (time) of the star.

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

mass¶: mass of the star.

Symbol:: m
Latex:: \(m\)
Dimension:: mass

indicator¶: A dimensionless parameter whose value depends on the mass of the star.

Symbol:: n
Latex:: \(n\)
Dimension:: dimensionless

ten_billion_years¶: A quantity equal to ten billion years.

Symbol:: 10 Gyr
Latex:: \(10 \, \text{Gyr}\)
Dimension:: time

law¶

t = 10 Gyr * (m / M_Sun)^(1 - n)

Latex:: \[t = 10 \, \text{Gyr} \left(\frac{m}{M_\odot}\right)^{1 - n}\]