Felix is Latin for fortunate or happy, and unlike many names built on virtue or lineage, it simply names a condition -- good luck, freely stated rather than earned through effort. The name carries a lightness that other classical names, built on duty or strength, tend to lack.
When Jupiter shall be in Cancer removed from the ascendant, and no way impedited of any other star, the native will be rational, and very expert in science; but delighting to lead a recluse life, and shall not have the due applause of his learning. - William Lilly (1602.-1681.)