Did Simon Marius observe Jupiter's satellites on January 8, 1610? An exercise in computation.

The question, Did Simon Marius (1573-1625) observe Jupiter's satellites on January 8, 1610 (December 29, 1609 in the Julian calendar) is moot, for he did not disclose his research method and the instrument he used. To resolve this issue we apply astronomical codes and evaluate the visual performance of a replica of the telescope that Galileo Galilei (1564-1642) had used.