Was deriving Sea Sparrow from an air-to-air missile a sound idea, and why has the system lasted so long?
Short answerYes; the naval system proved reliable and was repeatedly upgraded, culminating in the more capable Evolved Sea Sparrow family.
NotesSea Sparrow's continued usefulness is attributed to repeated investment in the missile family, including Evolved Sea Sparrow. An air-launched origin does not by itself make a missile unsuitable for ships. The explanation separates the seeker and targeting electronics, which can be shared across platforms, from the body and launch arrangements needed for different launch conditions. Successive upgrades matter more to this assessment than the age of the original concept.