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I was wondering if anyone knew of any resources to understand the linear limb darkening coefficient, $u$. That is to say, how the $\theta$-dependent coefficient $u$ (or sometimes $b_{\nu}$) varies with wavelength and with stellar effective temperature.

I've looked at a number of sources, such as Schwarzschild (1906), Milne (1921) and my own lecture notes and others, but nothing on this coefficient? Does anyone know where to even start looking for information of the properties of $u$?

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  • $\begingroup$ Could you be a bit more specific? I'm not familiar with this coefficient, but if you properly define u or b_{\nu} I may be able to help. $\endgroup$
    – user1991
    Commented Nov 1, 2015 at 13:28
  • $\begingroup$ Have you had any exposure to radiative transfer? $\endgroup$ Commented Nov 1, 2015 at 14:02
  • $\begingroup$ Yes, of course. But it has been a while, but the books that exposed me to it say nothing about this coefficient - though I'm sure it's defined implicitly. $\endgroup$
    – user1991
    Commented Nov 1, 2015 at 17:03
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    $\begingroup$ Have you seen this link astro.keele.ac.uk/jkt/codes/jktld.html $\endgroup$
    – James K
    Commented Nov 2, 2015 at 19:02
  • $\begingroup$ @JamesKilfiger I've asked a related question $\endgroup$
    – uhoh
    Commented May 20, 2016 at 10:39

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