Question

why does a star appear to riae four minute is errlier in the sky everyday than the previous day?

Answer 1

Because a ‘day’ isn’t really 24 hours long. It’s only 23 hours, 56 minutes, 4.0916 seconds long. That’s called the sidereal day, and represents the time taken for Earth to rotate relative to the fixed stars, not to the sun (because we’re orbiting our sun, so it’s not a totally stationary point relative to Earth).