  This paper examines the predictions made by Chinese, Muslim and Jesuit
astronomers of the eclipse of 21 June 1629 in Beijing, allegedly the event that
determined Emperor Chongzhen's resolution to reform the calendar using the
Western method. In order to establish the accuracy of these predictions, as
reported at the time by the Chinese scholar and convert Xu Guangqi, we have
compared them with an accurate reconstruction of the eclipse made at NASA. In
contrast with current opinions, we argue that the prediction made by the
Jesuits was indeed the most accurate. It was in fact instrumental in
dissipating Chongzhen's doubts about the need to entrust Jesuit missionaries
serving at the Chinese court with the task of reforming the calendar, leading
to the first important scientific collaboration between Europe and China.
