I am trying to calculate an electromagnetic rail launch from the Moon but I need to know if humans can survive the launch. Please see the specs below.
150 miles of track
Proposed final launch speed of vehicle = 59, 808 miles/hour
I have tried calculating linear g-force on the Moon but I cannot be certain that the same principles even apply. Can anyone shed some light on the matter?
I am hoping that, if my calculations are correct, in the near future we could launch space craft from the Moon when Mars is closest to Earth traveling without resistance at a speed of 59, 808 miles per hour arriving in a little more than 24 days.
Speed of sound @ sea level (normal conditions) = 340.29 meters/second
Speed of sound in space = ~1300 meters/second (yes, there is sound in space. Although it is not perceptive, there are still percussion waves that travel faster than on Earth with no resistance.) = 73.82% increase of speed in space.
Current speed of electromagnetic railgun projectile @ sea level= 7000 meters/second
Taking into account the 73.82 % increase and applying it to the known projectile velocity...
7000/0.2618 (73.82% incr.) = 26,737.9679 m/s = 59,808.965 miles/hour
On July 27th, 2018, Mars will be ~35.8 million miles from Earth. 35,800,000/59,808.965 = 598 hours (approx. 24 days)
What would be the shortest length of track needed to make the launch survivable?