why does the moonrise and moonset time change each day? please post a link or explain perferrably in detail.

the Earth spins.

Or how about the tilt of the Earth's axis. If the Earth just spun in a circle, sunrise and sunset would be at the exact same time every day. But since the Earth's axis is tilted, you move up and down latitudes and thus pass into the lit half and the dark half of the Earth at varying times.

 

Note: I am assuming there are no hidden variables that make the moon different than the sun in this case.

oops, didn't read the whole question. sorry. what jordan said

What about the fact that the Moon orbits the Earth every 28 days, in essentially the same plane (ecliptic). That is a Difference of 24*60/28 = 51 min. 26 sec. each day.

 

Another way to verify this is to go to the seashore for a week, and dip your toes into the ocean at the same place & time each day. You will walk farther or shorter each day, but the increment of change will always be the same. The differential between the periods of rotation.

the moon's orbit has almost no eccentricy. it is almost a perfect circle.

Interesting though it is moving away from us, slowing the earths rotation as it does so via conservation of angular momentum.

What about the fact that the Moon orbits the Earth every 28 days, in essentially the same plane (ecliptic)

 

But there's enough inclination (about 5 degrees) that we don't get an eclipse every new/full moon.