The fractional shift between the two locations can be found using this.
f/f0~(1- GM / r0 c²); where
f0 is frequency emitted and G is 6.674*10^-11, c is speed of light.
Here r0 = rB =1000km and M=10^30 kg
f/f0 = 1- (6.674*10^-11*10^30 /1000000* 9*10^16)
f/f0 = 0.999258
Now there the fractional shift represent
( f0 -f)/f0 = GM/rB c² =0.0007415 .
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