The Collaborative International Dictionary of English v.0.48:

Astrometeorology \As`tro*me`te*or*ol"o*gy\, n. [Astro- +
   meteorology.]
   The investigation of the relation between the sun, moon, and
   stars, and the weather. -- As`*tro*me`te*or`o*log"ic*al, a.
   -- As`tro*me`te*or*ol"o*gist, n.
   [1913 Webster]