How true is it that the earth goes around the sun?
Yes, the sun is in motion, but that motion is an orbit of the galaxy, not a mutual orbit of the sun and planets. Strictly speaking, the path of the planets thru space viewed from above the plane of the ecliptic would show the planets moving in a spiral. Because the sun would be moving. No such path would be possible from that vantage point unless the planets were orbiting the sun. Take any point of reference you want (say on earth) and look at the position of the planets over time. The only hypothesis that explains these observations is that the planets (including earth) orbit the sun. In each of these points of reference the only hypothesis that would explain the observations of the planets would be that the planets orbit the sun. Heliocentrism is not only supported by observations of the position of planets from the earth, but by every interplanetary probe that has ever been launched. All of the projected paths for these probes have been based on the hypothesis that the planets orbit