Question

Example 1.2: A star is 5.5 light years away
from the Earth. How much parallax in arcsec
will it subtend when viewed from two opposite points along the orbit of the earth?​

Answer 1

$\huge\bold\purple{Answer:-}$

Two opposite points A and B along the orbit of the earth are e AU apart the angle subtended by AB at the position of the star = Ab/distance of the star from the earth

$= \frac{2au}{5.5ly} = \frac{2 \times 1.496 \times {10}^{11}m }{5.5 \times 9.46 \times {10}^{15} } = 5.5 \times {10}^{ - 6} rad \\ = 5.75 \div \times {10}^{ - 6} \times 57.29 \times 60 \times 60arcsec \\ = 1.186$

hope it will be helpful u