Domes and Teleconverters: Entrance Pupil ( Nodal Point )

[Adventurer]

I will be utilizing 2.0x and 1.4x Teleconverters with a fisheye zoom lens behind a dome.

Currently doing the math for optimum dome positioning and sizing.

 

I am under the assumption that the entrance pupil will move by adding a TC.

And I mean by that, not equivalent to the 31mm physicial space that the teleconverter adds between camera and lens.

 

Can you share your thoughts and maybe even the math for this endeavor?