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abstraction > mathematical concept > frame of reference > nonaccelerating reference frame > local inertial frame
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local inertial frame comparison table
Subject is a kind of has acceleration has definition has rotation rate
nonaccelerating reference frameframe of reference0  
nonrotating reference frameframe of reference  0
local inertial framenonaccelerating reference frame0A coordinate system or frame of reference defined in the vicinity of the earth in which Newtons first law of motion is valid; that is, a nonrotating and nonaccelerating reference frame.0

Next nonaccelerating reference frameglobal inertial frame    Upnonaccelerating reference frame, nonrotating reference frame