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Distance to star using color index
I'm doing the following question:
A star is observed with UBV magnitudes $m_u = 16.31$, $m_b = 14.52$,
$m_v = 13.76$. Spectral analysis gives $M_{bol} = 7.31$, $BC = -1.02$, $(U − B)_0 = 1.222$. ...