How long does a stellar day last?

read this 20+ times and still don't understand the answer. Thanks Brian!

Player #34749909, I take it as : fix a point in the sky such as Sirius, let the world turn. When you get Sirius back to the same position 1 stellar day has passed

I actually thought it was a good explanation, and a good question. I learn a lot from this game

Player #34749909, I will try. In the same image 1 is the reference and pointing towards the Sun. After 23h 56m the position 2 is reached. In true sense 360 degrees rotation of earth is complete (a day is over). however it is with respect to far distant star located at left side (such that the rays of position 1 and 2 is pointing toward it and are still parallel, far far away star). Hence this time is also called as sidereal (respect to star) day. Since we live on earth and Sun is prime important to us, one day for us is when we see next sun at exact same direction. So earth have to spin further to point at sun position 3. This time is what we generally refer to as day and specifically it is call as tropical (related to earth) day. In an scenario when direction of spin is different than rotation, sidereal day would be longer than a tropical day.

assuming the stellar day asked about is of this planet

Player #34749909, stellar is for star. To be more exact/specific ( often confusing) sun position is not fixed.

Player #34749909, i simple terms, it is the earth take for a day ( to complete one rotation)

Arohanui, 4 minutes aprox.

There is no explanation of a tropical year. It seems to me that there are approximately 365 and one quarter solar days in a year and hence we have leap every fourth year (with a couple of exceptions).