I'm not 100% sure what you mean by "tune to the linear birds", but I can guess.  Ask again if this answer does not help.  A linear satellite has a 20 to 40kHz range in the uplink band where anything it receives is sent to the same (but usually inverted) location in the downlink band.  If you want to hear yourself or anyone responding to you, you must tune your receive frequency to match your transmit frequency.   It would be nice if such satellites had an exact local oscillator so that you could get the tx and rx frequencies all set ahead of time, but these oscillators do drift.  That means you generally have to "tweak" the tuning a bit to get the receive tuned so that you hear yourself clearly.    Is that what you are asking?

As to inverting/doppler, yes it does say that in the amateur exam (Extra, I think).  I have to say, I thought I understood this, but everytime I started to write about it, I realized "no, that is not right".  So for now, I think I'll just say that it does not really matter if you have computer-aided tuning.

73,

Burns WB1FJ