The angular distance is given in terms of the (linear) distance 
by
The angular distance at time t with initial angular distance
,angular velocity 
, and angular acceleration 
is
In cosmology, the angular distance is defined as
where
is the luminosity distance.
by(1)
The angular distance at time t with initial angular distance
,angular velocity , and angular acceleration is(2)
In cosmology, the angular distance is defined as
(3)
where
is the luminosity distance.
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