[Rama Set]

Parallax and Aberration are not intrinsically linked.

http://www.princeton.edu/~achaney/tmve/wiki100k/docs/Aberration_of_light.html

I cannot say whether or not some sort of equivalence applies to aberration though.

[Tintagel]

All the planets revolving around the sun is materially different than all the planets and the sun revolving around the Earth. Maybe I am misinterpreting what you mean by heliocentric.

I'm referring to the neo-tychonic geocentric model, which has been shown to be equivilent to the copernican model: http://arxiv.org/pdf/1302.7129.pdf

This is  fascinating.  Tycho Brahe's geo-heliocentric model is bizarrely fantastic.  Thanks for sharing, Tausami