The Sun and The Moon Revolve Around the Earth According to Al-Qur'an

"Does the Qur'an teach that our solar system is geocentric ?" This is a fair question considering there are many of Qur'an's verses mention that the sun, moon, and star are "running", but seem none of verses in the Qur'an which clearly state the earth is moving, running or floating. So, does the Qur'an state that our solar system was geocentric, which the earth is the center and the sun, moon and other celestial bodies are running around the earth? While the science is indicating that the earth moves around the sun and the sun itself is move along with our galaxy. Which should we believe further, revelation or science?

Moreover the Quran was revealed at a time when the majority of the world consider that the earth was still, and motionless, and the sun and moon orbit around up and down the earth, because that are seen and felt by the people on earth. Statement that the earth moves around the sun, at the time of the revelation of the Qur'an, of course, would cause Islam not accepted by the people, and even would bring out a lot of criticism from some of people of the Book.