What grit are you using?  Are they pads or actual sandpaper?

Typically the lower the grit the more visible the lines, as the grit gets higher the lines become finer.

It also depends on the freshness of the sanding surface and the number of sides you sand. I've found doing 6 sides when sanding blends the lines because of the overlapping to be less noticeable.

Even with finer grits you will still see some lines. After you throw the ball a few shots and wipe the oil off it will take the lines out as well. Typically

I kind of new to surface changes, is there a way of getting out the sanding lines out a ball, I use a lot of water and not a lot of pressure but lines are still there, it is a pearl coverstock, and I am using a ball spinner, any help is appreciated, I do realize that the lines don't really affect the ball I don't think.

If your trying to make the ball look like it did new without the sanding "lines" pattern forget it.

Basically the factory sanding process produces a surface pattern which is more like what a random orbital sander does.

You can't reproduce that by hand on a spinner.

Stepping through all the grits like your doing (800,1000,2000,4000 tried compound ending with vise polish) produce a smooth surface.

If your only doing 4 sides of the ball each step, you could increase to 6 sides on the 4000 step.

Your wanting to make sure the lines from the previous grit are gone.

or sometimes I use "Soft Scrub" which acts as a fine abrasive after the final step but before the polish. Which gives it a little finer surface.

Unless it something like a plastic ball, you don't really need a glass like surface on a ball.