I've been thinking about this, and actually...Harvey Winston wrote:science makes mistakes.
You're right. Science gets things wrong. An example:
Einstein's theory of Relativity showed that Newton's laws of gravity were wrong. However, Newton was only significantly wrong for masses bigger than (say) a planet, or for speeds above a significant fraction of the speed of light. (Mercury's orbit can't be calculated accurately using Newtonian mechanics alone, you have to take relatavistic effects into account.)
Having said that, Newtonian gravity is accurate enough to be used by the Apollo moon-shots.