Columbus was desperate after he was shipwrecked on Jamaica. The local people had stopped helping him after someappalling behavior by his crew.
Predicting eclipses was a tricky business and it needed to be based on good ephemera (positional information of heavenly bodies). Columbus - and other navigators - had the ephemera of Regiomontanus. These were the best available, but he must have realized that it was all still a bit shaky. The eclipse he was counting on was near the end of the years for which Regiomontanus had calculated eclipses. The man himself had been dead for over a quarter of a century.
But I guess when there's nothing left to lose . . .
19th century illustration of Columbus and the lunar eclipse that saved his life.