Does anyone have knowledge of challenging local council development proposals?

Apologies if this is in the wrong sub. Mods please feel free to delete if it is.

My local council has just voted to approve a batshit crazy multimillion pound development despite there being a seeming consensus amongst most locals against it. Even if it is possible to mount a challenge, how would one go about it? I've been unable to get any traction in my own searches, having only turned up the Traffic Commissioner and Localism Act, which don't seem great fits.