Echo arrival is scanned by changing only launch time. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Echo arrival shifts with launch time

The line delay is fixed here. Moving the launch later moves the return later by the same amount.

techo=tlaunch+2tone=0 s+8 s=8 st_{\text{echo}}=t_{\text{launch}}+2t_{\text{one}}=0\ \text{s}+8\ \text{s}=8\ \text{s}
Launch-time echo scanThe one-way delay is fixed; only launch time changes.outecholaunch 0 sone way 4 sround trip 8 secho 8 s

Echo arrival shifts with launch time

The line delay is fixed here. Moving the launch later moves the return later by the same amount.

techo=tlaunch+2tone=2 s+8 s=10 st_{\text{echo}}=t_{\text{launch}}+2t_{\text{one}}=2\ \text{s}+8\ \text{s}=10\ \text{s}
Launch-time echo scanThe one-way delay is fixed; only launch time changes.outecholaunch 2 sone way 4 sround trip 8 secho 10 s

Echo arrival shifts with launch time

The line delay is fixed here. Moving the launch later moves the return later by the same amount.

techo=tlaunch+2tone=5 s+8 s=13 st_{\text{echo}}=t_{\text{launch}}+2t_{\text{one}}=5\ \text{s}+8\ \text{s}=13\ \text{s}
Launch-time echo scanThe one-way delay is fixed; only launch time changes.outecholaunch 5 sone way 4 sround trip 8 secho 13 s