There are three main reasons why one can see stuttering in a video...particularly when you are panning of moving sideways close to the ground.
1. Playback devices just not up to it. This can be under powered computers, etc.;
2. an SD card that simply doesn't have a fast enough write speed;
3. in a video rendered using certain video editors.
If your problem is caused by points one or three then the remedy can be quite an expensive one since the solution could involve investing in a better computer or drastically upgrading your present one. Note though that if it is point three that's the cause, then that can sometimes be put right by changing your video editor. I had this problem when using Davinci Resolve. My computer just didn't have the guts to run it properly so I changed to an editor called Filmora and now I don't have that problem.
If it's point two that is your problem then that is often the cheapest thing to address: To get a good enough 32 Gig SD card in the U.K., for example, would cost around £30.00. Good SD cards to avoid stuttering should have a U3 rating.