Calc Children of Time - The Gilgamesh's maximum interstellar travel speed

Calculations
2.1 TWO THOUSAND YEARS FROM HOME
Two thousand years will do that to you, apparently. Every minute or sohe was struck afresh by the revelation of how ludicrously lucky they allwere just to be here. Satisfactory, as Lain had said.
He was about to leave theGilgamesh for the first time in two thousand years.
Normal service will resume.The human race can pick up at last, after a hiatus of two thousand years. Isn’t that something to strive for?”
It takes 2000 years for the Gilgamesh to reach Kern's World. Even when reaching the edge of the star system, they had been travelling for 1837 years.
“One thousand, eight hundred and thirty-seven years, Mason. Or that’s what the Gilgamesh says.”
Holsten sat back down on the lip of the suspension chamber, his legs abruptly insufficient to keep him standing up.
“How’s the ... how’s he holding up? Have you ...?” The sentences kept fragmenting in his head. “How long have you been up? Have you checked over ... the cargo, the others ...?”
“I’ve been up for nine days now while you were being lovingly licked awake, Mason. I’ve gone over everything. It’s all satisfactory. They did a good, solid job when they built this boy.”
“Satisfactory?” He sensed the uncertainty in that word. “Then everyone’s ...?”
“Satisfactory in that we have a four per cent chamber failure rate amongst the cargo,” she told him flatly. “For just short of two millennia, I think that counts as satisfactory. It could have been worse.”
Kern's world is located 20 lightyears from Earth (or 1.892e+17m).
The wall screenstold a pleasant fiction, a composite view of the world below that ignoredtheir constant spin, showing the planet as hanging stationary-still off inspace: the green marble to match the blue marble of home, twenty lightyears away. Earth had been green, in her day, though her colours had faded since.
Twenty long years for her signal to reach Earth. Far more than that for the rescue to come back, even with the best fusion engines employed to accelerate to three-quarter light speed. But her frail body would survive thatlong in cold sleep—and more than that.
T = 20LY/20 years
= 2997924.58/340.29
= Mach 8809.9109

Final Results
The Gilgamesh's maximum interstellar travel speed = Mach 8809.911
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