Does this colpitts have a chance to work?

Hi,

I stumbled upon Oscillators simplified book and I doubt some of it's schematics, for instance:


How is the energy in the LC tank circuit regenerated? I have even attempted to simulate it but no luck:




Green is output, white is base, blue is emitter resistor. Note I have added the emitter myself as the book circuit didn't even have it.
Beside that I noticed this book is slopy on formulas for instance:


Should rather be Vcc^2/2PO