Stellar Parallax
Stellar parallax refers to the apparent shift in the position of a nearby star against the background of distant stars when observed from two opposite points in Earth’s orbit around the Sun, six months apart.
This phenomenon is one of the most fundamental methods for determining stellar distances.
Parallax Angle
The parallax angle $p$ is defined as half the total angular shift of the star.
The smaller the parallax angle, the farther away the star is.
The relationship between the parallax angle and the distance ($d$) to the star is expressed as:
$$d\, (\text{parsecs}) = \frac{1}{p\, (\text{arcseconds})}$$
where:
Suppose a star has a parallax angle of $0.1 \, \text{arc-seconds}$. Using the formula:
$$d = \frac{1}{p} = \frac{1}{0.1} = 10 \, \text{parsecs}$$
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