3 ms·
While you have a valid point, here's what it works out for ion engines. Assume you want 1,000 years to Alpha Centauri and your ship boosts the entire way. (It'
by dalke 10y ago
While you have a valid point, here's what it works out for ion engines.
Assume you want 1,000 years to Alpha Centauri and your ship boosts the entire way. (It'll take a few pictures as it flies through the system.)
s = 1/2 a t^2
a = 4.22 light years * 2 / ((1000 years)*(1000 years)) = 8 E-5 m/s/s
Sounds great, right? But the final speed is:
v = a * t = 4.22 light years * 2 / (1000 years) = 2.5E6 m/s = 0.8 c (!)
Let's say your engine has a ISP of 8000 s, which is about 10x better than anything we have.
Then from the rocket equation you'll need a dry weight (payload, engines, etc.) to propellant ratio of
e^(2500000 / (9.8 * 8000) = 70,579,094,313,732 = 71 quadrillion
eg, 1 gram of spacecraft requires 70 kilotons of propellant
But wait, there's more! It takes power to push 70 kilotons of propellant backwards at 80,000 m/s.
E = 1/2 * m * (v^2) = 2E20 Joule
Since E = m c^2
=> total annihilation of over a ton of antimatter
Almost certainly more as that assumes 100% efficiency. And of course that extra ton isn't propellant, so it hits you in the rocket equation.
Note: I am not a rocket scientist and likely made mistakes. Even if I'm off by a few zeros, it's enough to show that an ion engine isn't going to get something to Alpha Centari within a few centuries.
- dalke 10y agoOops! There's a couple of missing zeros. The 2.5E6 m/s = 0.8 c should be 0.8% c. That mistake doesn't continue to the rest of the calculation.