Subject: If entire universe is accelerating how can Sp. Relativity apply?

I can't find a clearly applicable answer in 
archives.If acceleration is a change in 
velocity OR direction, certainly the earth & 
each atom on it is in acceleration (around the 
sun, galaxy etc) continually. If SR only holds 
in non-accelerating frames, how can it be 
applied to anything in the universe ?

It_seems_that gravity is everywhere & it causes 
all mass/energy to change direction/accelerate 
which would_seem_to prohibit the appliction of 
SR accurately to anything. Obviously, I'm mis-
understanding some basic aspect of 
theory.Please clarify how_any_mass/energy can 
be considered non-accelerated in the presence 
of gravity (unless multiple gravitational 
sources cancel out).

Thank you all for your time!  

Re: If entire universe is accelerating how can Sp. Relativity apply?