Originally posted by Plotinus
Darkcloud, as lajzar points out, you are underestimating what would be involved in really going to another star system.
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The diameter of the Earth is 12,756 kilometres. The Moon is approximately 384,400 kilometres away (about thirty times the diameter of the Earth). The Sun is 149,597,892 kilometres away (11,727 Earth diameters).
Alpha Centauri, by contrast, is approximately 40,680,305,690 kilometres away. That is 105,828 times the distance to the Moon.
Darkcloud, as lajzar points out, you are underestimating what would be involved in really going to another star system.
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The diameter of the Earth is 12,756 kilometres. The Moon is approximately 384,400 kilometres away (about thirty times the diameter of the Earth). The Sun is 149,597,892 kilometres away (11,727 Earth diameters).
Alpha Centauri, by contrast, is approximately 40,680,305,690 kilometres away. That is 105,828 times the distance to the Moon.
Basically, once you start talking interstellar distances, the numbers get ridiculous if you plan on actually travelling there.
Let's play the numbers game. The current generation of liquid hydrogen rockets have an ISP of about 500 or so. The most optimistic estimates for fusion rockets is for an ISP of 50000 - 100 better than the best tech at present. For reference, an ISP of [n] means 1 ton of fuel will accelerate 1 ton of payload to [n] metres per second. Of course, half of that payload is the fuel itself, so the maths gets kinda funky.
Fortunately, I have a formula right here
dv = change in velocity
Isp = specific impulse of engine
Ve = exhaust velocity
x = reaction mass
m1 = payload mass
g = 9.8 m / s^2
Ve = Isp * g
dv = Ve * log((m1 + x) / m1)
= Ve * log((final mass) / (initial mass))
Kinda hard to understand I admit. So I made a spreadsheet, and plugged in some numbers. Lets use that fusion rocket with an isp of 50000 (100x better than teh best conventional rocket remember), and lets assume that 99.9999% of the rocket is fuel; 1 part per million is payload. Bear in mind however that half the thrust will have to be used to slow down.
Plugging those numbers into the formula, we are just shy of a top speed of 0.5% of c. Given the triangle shape that would illustrate aceleration:time, we could expect an overall travel time of, oh, about 850 years.
Nothing to interstellar travel really
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