Originally posted by FabianFnas
Relax. I wrote it as a joke, nothing more.
I'm sure that you know the math more than I do.
I knew that! The math is simple, from S=(AT^2)/2 which is the distance covered accelerating at a certain rate and from that solving for T,
T= sqr root of 2S/A, so to get to someplace with zero relative velocity, you need to split that into two parts, one accelerating halfway so the S is half the total distance and then halfway you decelerate the rest of the way at the same rate so you arrive with not much needed in the way of delta V. In the case of Mars at 100,000,000 miles you go 50 million miles acel and 50 million miles decel and you reach a peak of 55,555 miles per second (about 0.3c) and an average of 27,777 miles per second (0.15c).
These are more or less non-relativistic velocities so the time difference for the rocket and Earth or Mars time would be about the same.
You need to do about 5000 G's to get to that velocity in 30 minutes. Kind of leaves humans out of the mix though....
The amount of energy needed for 5000 G's with say a 275 ton spacecraft, if the thrust was 100% efficient, would be about 160,000 hp. Of course with regular rockets you are lucky to 1/1000th of that so think 160 MILLION hp.
And you need to put out that much energy for an hour. Not an easy trick.
A mere 100 gigawatts. No big deal, eh.