Damoiseau was originally an artillery officer but he left France in 1792 during the French Revolution.
[1] He worked as assistant director of the Lisbon Observatory before he returned to France in 1807.
In 1818 Laplace proposed that the Académie des Sciences in Paris set up a prize to be awarded to whoever succeeded in constructing lunar tables based solely on the law of universal gravity.
In 1820 the prize was awarded to Carlini and Plana and to Damoiseau by a committee of which Laplace was a member.
See also The Paris observatory holds a large set of manuscripts from Damoiseau.