Greetings !
Originally posted by DrStrange
BTW I've had an idea (though I've posted in again somewhere),
what if we used such powerfull electrical fields that would push the ions near the speed of light? That would increase the ions' mass a lot and because of the momentum concervation of the system it would end up to a very powerfull acceleration of the vehicle.
Well, there's a tiny little bit of a problem there
that's called energy. Any electric propulsion system
recieves energy from a power source.
Now, the momentum that a propulsion system provides
is p = m * v with m being the propellant mass ejected
and v being the exhaust velocity. However the energy is
Ek = m * V^2 / 2 , so you can see that as the exhaust
velocity grows the energy required to accelerate the propellant
grows as a square function of it, while the momentum
only grows as a linear function.
Of course, once you're near c the relativistic mass increase
will be great while the relative velocity increase will
be poor and then primarily the mass will grow as
a linear function in each equation. However, to get that
close to c you must be able to supply the huge amount
of energy that's entailed by the square of the velocity
in the kinetic energy equation so only if you can get that
much energy will you be able to use the relativistic mass
advantage.
Further more you should consider the source of energy
itself. Even if theoreticly you were, for example, to use
something like stored anti-matter, at near c velocities
you'll have to anihilate more anti-matter than the
propellant mass you'll be ejecting due to effeciency
issues and so the whole thing turns into a mess
and results in the fact that you'll still need huge
relative amounts of anti-matter that are much greater
than the mass of the final payload to just make a single
acceleration & decceleration one-way trip.
In short, new frontiers will require new physics...
Live long and prosper.