Moon Zappa Divorce Our Kid Will Still Get the Star Treatment

Moon Zappa and "Matchbox Twenty" drummer Paul Doucette just finalized their divorce ...  and they agree on one thing ... their daughter will live like a glamorous Hollywood princess.

According to their divorce docs ... 9-year-old Mathilda will get the standard celeb kid trappings -- private schools and music lessons -- but Moon and Paul also signed off on ... "photo or video shoots for Mathilda's career." 

Also ... they've agreed to never allow her to be "baby-sat by a hotel baby-sitting service, fun rooms or the equivalent."

The docs show Doucette will pay Zappa $8K a month in spousal support for the next 5 years ... and another $6K a month in child support. 

Plus, they'll split the money Paul made from more than 50 songs he's written or co-written -- including "Matchbox Twenty" gems ... "If You're Gone" and "How Far We've Come." 

Sappy adult contemporary -- supporting famous kids since 2014.