Question

1. Parallax and Gaia Star P is a B star with a luminosity of 1900 $L_\odot$ and we receive a flux of 5.94 x $10^{-14}$ W m$^{-2}$ from it. Star Q is a K star a luminosity of 0.45 $L_\odot$ and we also receive a flux of 5.94 x $10^{-14}$ W m$^{-2}$ from it. That is, the two stars have the same apparent brightness seen from the Earth. (a) What are the distances in pc to stars P and Q? (b) What are the parallaxes in arcseconds of stars P and Q? (c) The Gaia satellite can see objects with fluxes as faint as 1.97 x $10^{-17}$ W m$^{-2}$. Gaia is also limited by telescope systematics, so that the smallest uncertainty it can achieve on a parallax measurement is 0.1 mas (0.0001 arcsec). Which of stars P and Q will be visible by Gaia? Which of stars P and Q could have parallax well-measured by Gaia?

          1. Parallax and Gaia
Star P is a B star with a luminosity of 1900 $L_\odot$ and we receive a flux of 5.94 x
$10^{-14}$ W m$^{-2}$ from it. Star Q is a K star a luminosity of 0.45 $L_\odot$ and we also receive
a flux of 5.94 x $10^{-14}$ W m$^{-2}$ from it. That is, the two stars have the same apparent
brightness seen from the Earth.
(a) What are the distances in pc to stars P and Q?
(b) What are the parallaxes in arcseconds of stars P and Q?
(c) The Gaia satellite can see objects with fluxes as faint as 1.97 x $10^{-17}$ W m$^{-2}$. Gaia
is also limited by telescope systematics, so that the smallest uncertainty it can
achieve on a parallax measurement is 0.1 mas (0.0001 arcsec). Which of stars
P and Q will be visible by Gaia? Which of stars P and Q could have parallax
well-measured by Gaia?

1. Parallax and Gaia
Star P is a B star with a luminosity of 1900 L⊙ and we receive a flux of 5.94 x
10^-14 W m^-2 from it. Star Q is a K star a luminosity of 0.45 L⊙ and we also receive
a flux of 5.94 x 10^-14 W m^-2 from it. That is, the two stars have the same apparent
brightness seen from the Earth.
(a) What are the distances in pc to stars P and Q?
(b) What are the parallaxes in arcseconds of stars P and Q?
(c) The Gaia satellite can see objects with fluxes as faint as 1.97 x 10^-17 W m^-2. Gaia
is also limited by telescope systematics, so that the smallest uncertainty it can
achieve on a parallax measurement is 0.1 mas (0.0001 arcsec). Which of stars
P and Q will be visible by Gaia? Which of stars P and Q could have parallax
well-measured by Gaia?

Added by Travis S.

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