Question

describe the Parallax method for the determination of distance of a nearby star from the Earth

Answer 1

Parallax is a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.


by using this method we can measure the distance between two celestial bodies..

Answer 2

Answer:

The distance to the star from the earth is $D=\dfrac{d}{\theta}$.

Explanation:

Measurement of large distances usually done by the parallax method.

• Parallax is the difference in the object’s apparent position viewed from two different points.
• Let us consider, two observation points from the earth A and B separated by a distance $d.$
• And the distance of a star from the earth is D, this is equal from both the points and hence it can be taken as a center of circle C of radius D, as shown in the figure.
• Let the angle subtended at C, between the two distances from the  observation points situated on the earth be θ. This angle is called parallax angle measured in arc seconds
• As the star is very far away, D is very large and θ is very small.
• And the angle θ is given by

        $\theta=\dfrac{\mbox{arc}}{\mbox{arc radius}} =\dfrac{d}{D}$

Therefore, the distance to the star from the earth is $D=\dfrac{d}{\theta}$.

For more info:

https://brainly.in/question/139720

https://brainly.in/textbook-solutions/q-parallax-method