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# When the observations are taken at an interval of 6 months, the angle of parallax is 0.4". Find the distance of Star.

Asked by rayeesahmadsofi343 25th June 2018, 10:15 AM
Answered by Expert
Answer:

When the star is observed at 6 month interval, the observation locations in the earth's orbit around the sun
is diametrically opposite points as shown in figure.
The distance AB between observation points is twice the astronomical unit.
(Astronimical unit AU is the mean distance between sun and earth, 1 AU = 1.496×1011 m)

if d is the distance between star and earth, then distance AB = d×θ , hence d = AB / θ

we have θ = 0.4 " = 0.4 × 4.85×10-6 rad

hence d = (2×1.496×1011) / (0.4×4.85×10-6)  = 1.542 × 1017 m
Answered by Expert 25th June 2018, 5:32 PM
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