The Collaborative International Dictionary of English v.0.48:

Aerostatic \A`["e]r*o*stat"ic\, Aerostatical
\A`["e]r*o*stat"ic*al\, a. [A["e]ro- + Gr. ?: cf. F.
   a['e]rostatique. See Statical, Statics.]
   1. Of or pertaining to a["e]rostatics; pneumatic.
      [1913 Webster]

   2. A["e]ronautic; as, an a["e]rostatic voyage.
      [1913 Webster]