That marks the 'Center of Rotation'. You will note that it ONLY appears when you're actually manipulating the display, either with your mouse or a Spaceball.
John R. Baker, P.E.
Product 'Evangelist'
Product Engineering Software
Siemens PLM Software Inc.
Digital Factory
Cypress, CA Siemens PLM: UG/NX Museum:
To an Engineer, the glass is twice as big as it needs to be.
In 8.5, you can go to View -> Preferences -> Visualization -> view/screen and turn off the "display center of rotation" option. NX 9 is slightly different, I think you have to go to File -> all preferences; from there you should be able to find the visualization preferences.
cowski is correct that this indicator can be disabled (turned off), however, by definition, it can't be moved since at any one time, there's only a single 'Center of Rotation' and having it anywhere else than AT the 'Center of Rotation' would be silly.
John R. Baker, P.E.
Product 'Evangelist'
Product Engineering Software
Siemens PLM Software Inc.
Digital Factory
Cypress, CA Siemens PLM: UG/NX Museum:
To an Engineer, the glass is twice as big as it needs to be.
And if you are using the mouse to rotate the view, you can hold down the middle mouse button for a moment before moving the mouse to designate the desired point of rotation.