The Gaia satellite will measure parallaxes with an accuracy of 2 × 10−5 arcsec for stars...

The Gaia satellite will measure parallaxes with an accuracy of 2 × 10⁻⁵ arcsec for stars with V < 15.
(a) What is the distance d of an M5 I supergiant with log(L/L_ʘ) = 5.50 and BC = −3.70 that has V = 12, if the effect of interstellar extinction is ignored?
(b) What is the relative distance accuracy σ(d)/d of such a star?
(c) Assuming that T_eff is known, what is the relative accuracy in radius σ(R)/R?

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genius_generous answered 1 year ago

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