How Far is Nanyang's Star from Earth in Parsecs?

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SUMMARY

The distance from Earth to Nanyang's star is calculated using the formula m2 - m1 = 5log(d2/d1) + Ad2. The correct distance d2 is specified as 1000 parsecs (pc). The discussion emphasizes the importance of accurately defining the distance variable in astronomical calculations to achieve precise results.

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  • Concept of parsecs as a unit of distance
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Homework Statement
Suppose that to a particular heliocentric 3D-Cartesian coordinate, the Earth is located at (1,0,0) A.U. You tried to observe Nanyang Star (with the same luminosity as the Sun) from the Earth. Nanyang Star is located at (1,0,1) kpc in the same coordinate system. If you obtained a visual magnitude of +17.2 from the observation, what is the coefficient of absorption, defined as the visual magnitude increase per unit distance due to interstellar matter, in the star’s direction? (It is given that Sun’s absolute magnitude is +4.83.)
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Apparent Magnitude
73341974-82DB-4DE5-8B66-247B5D291A10.jpegMy attempt has been attached.
 
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Shouldn't you have m2 - m1 = 5log(d2/d1) + Ad2?
And is d2 = 1000 pc?
 
As @mjc123 implied, you don't have d specified correctly. How far is it from Earth to Nanyang's star in pc? This is what you should use for d.
 

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