Man I love people who offer opinions about language without even checking the most basic references. (Which, in my experience, is about 95% of all self-appointed "grammar nazis").
Collins English Dictionary:
meteor n
1. (Astronomy) a very small meteoroid that has entered the earth's atmosphere. Such objects have speeds approaching 70 kilometres per second
2. (Astronomy) Also called shooting star or falling star; the bright streak of light appearing in the sky due to the incandescence of such a body heated by friction at its surface
(Bolding mine.)
So, you were both right, but insofar as you were trying to suggest that OP was wrong, you were wrong. Heck, his definition was listed first!
I now fully expect you to fall back on the "professional lexicograpers don't know as much about language as my high-school teacher, who is the ultimate arbiter of all matters linguistic!", which is the usual defense of most misguided grammar nazis (a phrase which is very nearly redundant). :)