What's the difference between aerostat and aerostatics?

Aerostat

Definition:

• (n.) A balloon.
• (n.) A balloonist; an aeronaut.

Example Sentences:

• (1) The manipulation makes it possible to reduce the number of emergency thoracotomies undertaken for hemo- and aerostatic indications.

Aerostatics

Definition:

• (n.) The science that treats of the equilibrium of elastic fluids, or that of bodies sustained in them. Hence it includes aeronautics.

Example Sentences:

• (1) The manipulation makes it possible to reduce the number of emergency thoracotomies undertaken for hemo- and aerostatic indications.