Question
Asked Mar 5, 2020
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What is the parallax of a star that is 13.00  light-years away?

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Expert Answer

Step 1

The parallax is an methond to calculate the distance between the objects in universe.

It is based on the trignometric concept.

Here, the parallax angle between (p) between the earth and nearby star is shown as,

Physics homework question answer, step 1, image 1

The relation between the start distance and its parallax angle is;

Physics homework question answer, step 1, image 2

Where,

d = distance between the earth and star.

p = parallax angle

3.2 Light yeras = 1 parsec

The parallax angle is used in the formula should be in arcseconds and distance should in parsec.

It is given in the question that the distance is 13 light years.

We have to find out the parallax of the star.

Step 2

First, we will convert the star distance unit from light years to parsec unit.

Physics homework question answer, step 2, image 1

 

Step 3

Now, we will find out the parallax angle.

The relation between the start distance and its parallax angle is 

Physics homework question answer, step 3, image 1

Physics homework question answer, step 3, image 2

 

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