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Bypassing the Rocket Equation for efficient Delta-V > Ve

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IsaacKuo - 07 Dec 2005 15:57 GMT
For a given amount of energy input, the absolute limit on
the speed acheivable is set by dumping 100% of that energy
into the kinetic energy of a spacecraft.  In principle, a
rocket can acheive this up for speeds up to the maximum
exhaust velocity by matching exhaust velocity with the
spacecraft's speed.  This leaves behind a trail of
non-moving exhaust and a spacecraft moving at roughly
sqrt(2*E/m).  However, for speeds much higher than the
exhaust velocity, a rocket becomes exponentially less
efficient.

High efficiency for speeds much higher than the exhaust
velocity can be acheived with a "runway" style of propulsion.
The basic idea is to have a "runway" of pulse units which
produce annular blasts of plasma sideways to the runway.
A toroidal magnetic sail deflects the blasts rearward,
effectively transfering most of the kinetic energy from
the plasma to the sailship.  The end result is a sailship
moving at many times the "wind" velocity with most of
the kinetic energy input, along with slow rearward moving
plasma around the runway.

A diagram explaining the torusail concept is here:

http://www.geocities.com/mechdan/torusail/index.html

Using existing nuclear bomb designs, an annular blast of
fission fragments at .04c can be efficiently generated.
These bombs can launch a probe to Alpha Centauri at .25c
using current technology.  The main expense and R&D effort
for a near term interstellar mission would revolve around
the interplanetary launch system to pre-position the runway,
rather than issues around the stardrive itself.

Compared to my previous proposals for runway style
interstellar propulsion, torusail propulsion has several
advantages:

1. Very efficient--a large fraction of the bomb energy
  is converted into the starship's kinetic energy.

2. Uses cheap off-the-shelf nuclear bomb design.

3. No R&D into high power magnetic fields or dense plasma
  is required.  The technology risk is low.

4. Cost of the pulse device is minimized--no fancy magnetic
  coils or any other clever "puff" mechanism is required.
  Each bomb-bot is little more than a spin-stabalized
  cylindrical nuclear bomb with a couple stationkeeping
  thrusters.

Isaac Kuo
Mike Lorrey - 05 Jan 2006 18:17 GMT
Ideally, you want your reaction mass to exit whatever device you use as
a 'nozzle' with as little velocity relative to the vehicles velocity as
possible (ergo its energy all goes into accelerating the vehicle once
it has exited the nozzle). Thus, the exhaust could still have
significant velocity relative to bodies at rest along the trajectory.

This is a problem when travelling in atmosphere, as it creates
significant vacuum behind the vehicle, thus more drag and a loss of
efficiency. But in space, there is no atmosphere and thus the only
interacting bodies are the vehicle and its exhaust.
Ideally, one achieves this by the expansion of the bell nozzle, using
the gas law to extract extra energy from the pressure of the exhaust.
However the gas law also describes limits to how much energy can be
extracted from this.

Your idea of using a magnetic field with plasma to act as the nozzle is
very useful, because it allows arbitrarily large 'nozzles' to be
generated this way, limited only by the energy put into the field and
the ambient solar wind or interstellar plasma pressure, while nearly
negating entirely the mass penalty of having larger and larger bell
nozzles for vacuum propulsion.

Magnetoplasma drives have already been proposed as a form of solar
sail, in which the magnetic field and plasma would be used to extract
the momentum of the solar wind. Your idea could use this as well while
in a solar system to save fuel. It can also be used when approaching a
solar system to catch hydrogen ions in the solar wind and capture them
into a MHD compression system that would refill your fuel tanks.
 
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