Recent years have seen a resurgence of geocentrist apologetics corresponding to (but smaller than) the resurgence of creationist apologetics

Strict Biblical literalism requires geocentrism, however public knowledge of astronomy is sufficient so that most creationists consider geocentrism a liability and adjust their apologetics accordingly.
Geocentrism video, Catholic geocentism in Chicago, more

First Annual Catholic Conference on Geocentrism

The Second Annual Catholic Conference has yet to happen

The moving Earth deception, The Brahean blunder

Modern geocentrism at wikipedia

The virtues of geocentrism

Association for Biblical Astronomy (Gerardus Bouw)
Gerardus Bouw's home page
The Earth is not moving (Marshall Hall)
A creationist reviews Marshall Hall's book
Our galaxy is at the center of the universe (Russsell Humphreys)

Historic papers on geocentricity, Geocentric universe, at wikipedia

AIG on Geocentricity - skeptical, The Geocentric Bible

Geocentrism and the Catholic (pdf)

A Geocentricity Primer (book by Gerardus Bouw)

The pendulum is a Jesuit hoax, Heliocentric "astronomers" greatly exaggerate the size of the solar system and the universe.

Heliocentricity vs Geocentricity

The Scriptural Basis for a Geocentric Cosmology

A skeptical view, Robert Sungenis - Catholic apologist