If you are looking for new systems, do you really need to jump grid to grid or could you jump 2 grids at a time?

You can jump 2 grids at a time but you're not going to know if something is in the grid space you jumped over. So it wouldn't be beneficial.

I'm not exactly following your thought process. In order to find a hidden system you must stop in that system square. Jumping 2 systems at a time, as Ulrike pointed out, completely misses one system square.

Thanks for the assistance. What I was thinking was this: in some systems the gravity well from some planets bleeds over the edge of that system. I was wondering if you jumped over to next grid...in the direction of that bleedover would you see the edge of the gravity well bleeding into the next system. I now know the answer is no but there seemed to be a logic to it at the time

I see what you mean, but it is like cities on a planet. The grids only indicate the centre of that region - there is lots of empty space between each grid.