It leaped and spun and gazed sidelong at her with its bony sockets.

Eyes set deep in the bony sockets.

Birds have the largest eyes relative to their size within the animal kingdom, and movement is consequently limited within the eye's bony socket.

The big eyes swiveled in the bony sockets.

From them a dull pain spread into the bony sockets that were their frames.

Or a sagittal section showing both the nerves and the bony socket.

The nose was gone, and where the eyes had been were two bony sockets, gazing at them malevolently under the glare of their strobes.

Those orbs seemed almost to slosh as they slid about within the bony sockets of the skull.

On his back, he was blind now, his eyes forced too deep into their bony sockets.

"Orbit" can refer to the bony socket, or it can also be used to imply the contents.