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polar configuration offset

In posting [1]news:4udjvf$la0 at ds2.acs.ucalgary.ca , [2]Andrew MacRae
discusses an aspect of polar configuration visualiization thus:

[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.

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.

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.

polar-mars-descend.gif

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 :
[3]http://www.geo.ucalgary.ca/~macrae/t_origins/v_models/v_models.html
[4]http://sheol.org/throopw/polar-offset.html
[5]http://sheol.org/throopw/aeonHome-image-analysis.html
_________________________________________________________________

[6][home] [7][mail throopw at sheol.org] 
Last edited Fri Aug 9 14:51:27 1996 - Last generated Fri Aug 9
14:51:28 1996

References

1. news:4udjvf$la0 at ds2.acs.ucalgary.ca
2. mailto:macrae at geo.ucalgary.ca
3. http://www.geo.ucalgary.ca/~macrae/t_origins/v_models/v_models.html
4. http://sheol.org/throopw/polar-offset.html
5. http://sheol.org/throopw/aeonHome-image-analysis.html
6. http://sheol.org/throopw/index.html
7. mailto:throopw at sheol.org