given
T = 26.2 years = 8.262 X 108 sec
t = 18.9 years = 5.960 X 108 sec
and we have C = 3 X 108 m/s
using the formula
T = t / ( (1 - v2 / c2 ) )
( 8.262 X 108 )2 = ( 5.960 X 108 ) 2 / ( (1 - v2 / (3 X 108)2 ) )
(1 - v2 / (3 X 108)2 ) = 0.520
v2 / (3 X 108)2 = 0.48
v2 = 4.32 X 1016
v = 2.078 X 108 m/sec
the required speed is v = 2.078 X 108 m/sec
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