"I) Instead of granting the Copernican assumptions of a rotating earth & a stationary sun, one can keep a rotating earth & assume that the sun orbits the earth annually. "
One big problem with such an assertion is that it doesn't explain night and day. If the Earth is stationary and the sun orbits the Earth once a year, then a single night / day cycle would take not 24 hours, but 365.4 of what we now call "days." We'd have 6 months of darkness and 6 months of light. In order for the day / night cycle we have now to be maintained, the Sun would have to orbit the Earth once every 24 hours, or be in a fixed position while the Earth rotated beneath it.
Most of the content of fixedearth.com is little more than incoherent rants. For example:
There is a third fact which reveals a striking contrast to these assumption-based Models falsely claiming to be "Science". ("Science: TO KNOW". "Assumed: ADOPTED TO DECEIVE"). This third fact relates solely to the Biblical Model of the Earth and the Sun. In this Model no assumptions and theories are required at all! Worldwide, all of us can see and photograph the sun, moon, and stars going around the earth daily. This is KNOWN SCIENCE with real math behind all eclipses, space shots, etc.
Really now, if this kind of drivel represents the height of Geocentric thought then it's no wonder that among scientists the theory died out a few hundred years ago.
The Biblical Model is the only truly scientific Model. It is time for every truth seeker to ignore the scoffers and insist on the facts. The facts are that the Biblical Model of a completely motionless Earth with the Sun, Moon, and Stars going around daily is true science requiring no assumptions. All else is from Satan, the father of lies.
The rant above ignores the fact that an Earth centered solar system does not comply with any observable facts about the motions of the planets or the observations and achievements of the space program.