Aerostat's rhymes with:
aerostats, aerostats, aerostats, aerostats, thermostats, aerostats, habitat's, habitats, thermostats, acrobats, aerostats, aristocrats, badavatz, brickbats, bureaucrats, caveats, copycats, coseratz, democrat's, democrats, democrats', diplomat's, diplomats, diplomats', doormats, fiat's, formats, habitat's, habitats, laundromats, plutocrats, polecats, pussycats, rosenblatts, technocrats, thermostats, thundercats, wildcats, wombats, ziggurats
Aerostat's sounds like:
aerojets, aerostats, arcades, archdiocese, archduke, arctic, aristech, aristede's, aristide's, arrests