Relating to or involving the science and principles of aerostatics or lighter-than-air flight.
From 'aerostatic' with the additional suffix '-al,' creating a variant form more common in older scientific texts. This redundant suffix was typical of 18th and 19th century scientific terminology.
You'll see 'aerostatical' in old scientific books instead of the simpler 'aerostatic'—it's like saying 'gravitational' instead of just 'gravity,' which adds emphasis but doesn't really change the meaning. English has simplified these redundant forms over time.
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