When I explored that aspect of things, I simply created a sequence of frames moving mars towards the earth along the axial line. This seems to be what Talbott/Cochrane did to visualize it; I don't think they used Grubaugh's (faulty) perturbed equilibrium model in the visualizations.[Talbott:] It is the small size of Mars that permits the planet to visually descend from the center as it approaches the Earth, even dropping below Saturn without ever departing from the polar axis, thus fulfilling its role as the hero descending to the underworld. [MacRae:] This is a part of the model that has never been quantified here. Please provide the geometric details.
So, for example, if we simply take the distance ratios of saturn/venus/mars from the Aeon home page (ie, 1.0/.352/.241), visualize from 45 degrees, then "slide" mars closer to earth until it falls out of frame, we get something like the following (in this case, four-frame, distance varying from .241 to .0125 sequence.
Note that I didn't really explore whether mars would "fit"
beneath earth's horizon; I only established that it leaves the
viewframe I was using.
References to prior work :
http://www.geo.ucalgary.ca/~macrae/t_origins/v_models/v_models.html
http://sheol.org/throopw/polar-offset.html
http://sheol.org/throopw/aeonHome-image-analysis.html