Objects at the far clipping plane visible at the sides of the screen

Hi All! I wonder if there is a neat solution to the problem that the objects that are at the distance from the camera about equal to the far clipping plane are visible at the sides of the screen but disappear when you center your camera on them.

As in the example below - you can see the forest when it is a bit to the side but it disappears when you try to look directly at it as it of course "moves" be$$anonymous$$nd the clipping plane. It doesn't look good when t$$anonymous$$ngs appear and disappear w$$anonymous$$le rotating your camera.

Cheers!