Camera: Record at 1080p60. W or M, your preference. Usually at lower p (30/24; vibration) or bright sunlight (shutter speed), you will see "warbly" footage. The faster framerate usually helps in minimizing vibration.
Phantom: Did you balance your props, make sure your motors are firmly affixed? Make sure the GP is firmly affixed? Issues w/ vibration will transfer a vibration to the video, especially if you are hard-mounted to the craft.
Computer: Playback may be challenged on older computers trying to run higher frame/bit-rates. That could be the staccato issue. If you are using quicktime, go to window>movie inspector. This will show you what framerate (p) you are getting at playback, and will show if you are lagging. If you are shooting in p60, you should have a constant 59.94 (or whatever the fraction is, can't remember off hand.)