"that "documented research through NASA" backs the biblical account of the sun standing still. "
Huh? I've never heard this espoused by ANYone, conservative Christian or otherwise.
Otherwise well-meaning people occasionally post this famous urban legend here.
I believe a NASA and Caltech cosmologist have a theory that Mars and the Earth were in synchronous orbits (360 and 720 day years?), at one time and every (something like) 144 years there would be a near pass by and an energy transfer would occur. And somewhere around 700BC a large transfer occurred that altered the orbits of both planets to where they are now. They supposedly used very sophisticated computer analysis that validates the possibility of this.
I have not heard anymore about it for about 5 years now, and am kind of fuzzy on the facts. I don't recall the analysis being conclusive, but then again, it is being compared to evolution. So being conclusive becomes somewhat arbitrary.