Star "A" is three times further away from the Sun than Star "B". The parallax angle of Star "B" is?

Question

Pertanyaan

Star "A" is three times further away from the Sun than Star "B". The parallax angle of Star "B" is?

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Answer 1

The parallax angle of Star "B" is three times larger than that of Star "A".

Answer 2

Step1:

Understanding Parallax

Parallax is the apparent shift in position of a nearby star against the background of distant objects. It is caused by the orbit of the Earth around the Sun. The parallax angle is defined as the angle subtended at the star by the diameter of the orbit of the Earth.

Step2:

Relating Distance and Parallax

The parallax angle $\theta$ is inversely proportional to the distance $d$ from the star. This relationship is given by $\theta \propto \frac{1}{d}$. Therefore, if the distance is increased, the parallax angle decreases, and vice versa.

Step3:

Calculating Parallax Angles for Star "A" and Star "B"
Given that Star "A" is three times further away from the Sun than Star "B", the parallax angle of Star "A" will be one-third of that of Star "B". Therefore, the parallax angle of Star "B" is three times larger than that of Star "A".

Pertanyaan

Star "A" is three times further away from the Sun than Star "B". The parallax angle of Star "B" is?

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