Not Powering On With Charged Battery Macbook Air Models A1237 And A1304

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MacBook air 2008 not turning on on battery power but turns on with charger cable battery indicator shows fully charged, have done smc reset no change. Powers on and off on charge cable, remove cable dies instantly. Update (08/06/2020)

Could not run coconut battery on lion so tried this one not sure how accurate it is.

Wow! A battery thats gotten to 5911 cycles! I think you really need a new battery! A batteries lifespan is about 1000, I think you pushed it a bit ;-} Determine battery cycle count for Mac notebooks Here’s the needed part MacBook Air (Original-Mid 2009) Battery and here’s the guide to put it in MacBook Air Models A1237 and A1304 Battery Replacement