* Celestial Meridian: This is an imaginary line that runs from north to south through the zenith (the point directly overhead). When a celestial object crosses the meridian, it's at its highest point in the sky for that day.
* The Sun's Movement: The Sun appears to move across the sky due to the Earth's rotation. It takes about 24 hours for the Earth to complete one full rotation, causing the Sun to appear to move across the meridian at approximately the same time each day.
* The Star's Movement: Stars are much farther away than the Sun, so their apparent movement across the sky is much slower. They basically maintain a fixed position relative to each other. Since the Earth rotates, stars appear to move in a predictable pattern, rising in the east and setting in the west.
Therefore: Since the star is in a fixed position relative to the Earth's rotation, it will rise slightly earlier each day compared to the Sun.