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When finding relationships between various properties of stars, I frequently find next to nothing on the Mass-Temperature relationship. I, of course, see the Mass-Luminosity and the Luminosity-Temperature relationship. So I wonder, why is there no mass-temperature relationship? Wouldn't it be algebraically viable to come up with this relationship?

As a side note, I'm only looking at main-sequence stars, and excluding the stars that do not fit in the relationship for main-sequence stars, such as giants and white dwarfs.

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    $\begingroup$ I'm voting to close this question as off-topic because this would be better for astronomy.SE. $\endgroup$
    – user4552
    Commented Sep 11, 2019 at 20:36
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    $\begingroup$ I'm voting to leave this open because astronomy & astrophysics questions are fully on topic on this site. $\endgroup$
    – Kyle Kanos
    Commented Sep 12, 2019 at 12:26
  • $\begingroup$ Can't you just use a table from "Astrophysical Quantities"? $\endgroup$
    – ProfRob
    Commented Sep 21, 2019 at 8:02

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For main-sequence stars, the Luminosity is related to the temperature by the expression $L\approx M^{3.5}$. The reason for the 3.5 exponent is because the relationship best fits some stars at $L = M^3$ up to $L = M^4$. For non-main-sequence stars, you probably need a relationship between density and Luminosity.

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