For most of history, the lack of observable stellar parallax was interpreted to mean that stars were too far away for parallax to be measured with available technology earth is stationary at the center of the universe stars must all lie at the same distance from earth, on the celestial sphere galileo's theories of the universe were essentially correct

Earth is stationary at the center of the universe.

Stellar parallax is the apparent change in the position of a neighboring star against the background of other far-away objects. Absent stellar parallax was first observed by Greek philosophers while trying to make a model of the universe. This led them to believe that the Earth must be stationary.

Kepler made the heliocentric model accomplished, but it was Galileo who argued that the Earth does move to orbit the Sun—stars were just too far away to observe and measure stellar parallax.

"the location of the epicenter" would be the correct answer