VASIMR
Plasma Rocket Propulsion
Variable Specific Impulse
Magnetoplasma Rocket (VASIMR)
ELECTRICAL POWER REQUIRED FOR A 39 DAY
TREK TO MARS
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BASIC ELECTRO-HYDRODYNAMIC THRUSTER (EHDT)
DESIGN
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...
ION
ENGINE DESIGN FOR TRAVEL IN OUTER SPACE
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ELECTRICAL POWER REQUIRED FOR A 39 DAY TREK TO MARS
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StarTravel
has been used to perform
a general heliocentric orbital transfer analyses to determine
velocity
increment (dV) and flight time
(dT) required
for traveling from Earth to Mars in 39 days as proposed in NASA's
new budget. This
combination MathCAD and StarTravel analysis uses an iterative solution
based on the number (N) of 200 killowatt VASIMR rocket motors required to achieve
the dV for Mars orbital insertion. A solution for traveling to Mars in 39 days is achieved when the equations of motion for gravity-free and
drag-free space flight predict a total flight distance equal to the distance
traveled along the elliptical transfer orbit predicted by StarTravel.
In summary, the following analysis predicts that at minimum a 9
megawatt power source is needed to energize a cluster of 45 VASIMR (200kw) rocket motors
to achieve the thrust required for traveling to Mars in 39 days. This
power source estimate is in line with previous statements by Dr. Franklin Chang
Diaz who stated, in a paper called The VASIMR Rocket that
appeared in the November 2000 issue of Scientic American, that a 10 megawatt nuclear reactor
is required for a 39 day journey from Earth to Mars. In addition, on September 29,
2009 Dr. Franklin Chang Diaz stated the following. "In fact, with the
power close to what a nuclear submarine generates, you could use VASIMR
to fly humans to Mars in 39 days." Therefore, while AeroRocket
believes the VASIMR rocket motor represents a great leap forward in
space propulsion technology, we do not believe President Obama
knows or has been informed that a high density nuclear reactor is required for his unfunded 39 day
journey to the red planet. Without Presidential authority, NASA does not have
the political will to design and operate a 10 megawatt high density
nuclear powered spacecraft and that canceling the Constellation Moon
project essentially ends America's ability to conduct manned flights
beyond low Earth orbit until a non-nuclear power source for VASIMR can
be developed. Therefore, without a Presidential vision for space travel it will
be many decades before America will travel beyond low Earth orbit.
Unless the present policy is changed America's manned missions beyond
low Earth orbit will come to an end with the cancellation of the
Constellation Moon project.
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MATHCAD ANALYSIS FOR DETERMINING
ELECTRICAL
POWER REQUIRED FOR A 39 DAY TREK TO MARS

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BASIC ELECTRO-HYDRODYNAMIC THRUSTER (EHDT) DESIGN
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The
ion engine design represented here is based on the concept of the Electro-Hydrodynamic Thruster (EHDT)
which consists of a small
diameter wire loop called the Sharp Edge Electrode (+V) separated from a
three-sided sheet of aluminum foil called the Smooth Edge Electrode (-V).
Where, either balsawood or plastic insulation material are used to separate the positive and
negative electrodes. To start the process, Nitrogen and Oxygen
gases in the vicinity of the
positively charged wire loop are ionized when electrons from the
supplied air are
attracted to the positively charged electrode. The relatively small mass
of positively charged ions are accelerated through the air gap between
the two electrodes transferring linear momentum to the neutrally
charged air. Neutrally charged air moves with the positively charged ions
during the momentum transport process down the axis of the ion engine
providing a very small thrust. Finally, positively charged ions are
neutralized upon impact with the Smooth Edge Electrode and exit the
Smooth Edge Electrode contributing to total ion engine thrust.
For the ion engine illustrated above the small diameter loop is replaced
by a Sharp Edge Electrode disk having two very sharp internal and
external circular edges for ionizing Nitrogen and Oxygen as air flows through the
ion engine. In addition, the aluminum foil electrode is replaced by a
very smooth aluminum cylinder having a uniformly rounded inlet edge that
prevents coronal discharge and allows closer positive and negative
electrode spacing. The illustration above displays the Smooth Edge
Electrode as machined from a tube of aluminum in close proximity to the
Sharp Edge Electrode. To power the ion engine a high voltage transformer from a Plasma Globe was used to supply 5kV to the positive
Sharp Edge Electrode disk. A properly sized high voltage diode (8kV, 10 mA) was used to rectify voltage from 5kV AC supplied by the Power Globe
transformer to 5 kV DC required by the positive electrode.
The potential advantage of the Smooth Edge Electrode is the elimination
of a cathode neutralizer normally required to neutralize the positively
charged plume of ions as the plume exits the ion engine by supplying a
stream of electrons to the plume. Also, it may be the basic shape of
these electrodes prevents the erosive effects normally observed on ion
engine electrodes over long periods of time. This project
is simply a demonstration for the use of the acceleration electrodes depicted
in these illustrations. |

Figure-1,
Plasma Globe powered ion engine and the mechanism
used to observe air flow through the ion engine device |

Figure-2
Close up view of the high voltage power supply and high voltage diode
used to rectify voltage from 5kV AC to 5kV DC |
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Figure-3
Close up view of the Sharp Edge Electrode (+5kV)
in front of the cylindrical Smooth Edge Electrode (-6V) |

Figure-4
Back view of the ion engine showing the Smooth
Edge Electrode behind the Sharp Edge Electrode |
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Figure-5
Power to ion engine turned off - sheet stationary |

Figure-6
Power to ion engine turned on - sheet deflected |
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ION ENGINE DESIGN FOR
TRAVEL IN OUTER SPACE TOP
The high voltage transformer from the Plasma Globe pictured above
is to weak to provide
any meaningful ion engine thrust. In other words a
standard design EHDT device powered by one of these Plasma Globe high voltage
transformers could never levitate or even move around by itself on the
end of a tether. To overcome these severe power limitations a second
Plasma Globe high voltage
transformer was added to excite a make-shift electron gun for an
added source of electrons to ionize the fuel (Oxygen, Nitrogen and
Argon) in the air. The addition of an electron gun worked
rather well increasing sheet deflection and therefore ion engine thrust by a factor
of approximately 5. Ion engine thrust was determined by applying the
linear momentum equation for an inertial control volume of a free-jet
impinging on the vertical sheet of paper. Ion engine thrust was also
determined by measuring the amount of force required to deflect the
vertical sheet of paper on the end of two threads as illustrated in
Figure-1.
If this were an ion engine meant to operate in space the
surrounding air will be replaced by Argon (Ar) injected at the
front
of the ion engine. Also, the ion engine design illustrated above will be
enclosed by a circular cylinder so the ionized fuel (Argon) can
circulate through and around the electrodes. Then, you would be
off to the races, although rather slowly at first because ion engine
thrust is on the order of only a few milliNewtons. A preliminary
electrostatic thruster analysis indicates this design provides a specific impulse
(Isp) of about 7,000 seconds. More work needs to
be done on the preliminary ion engine design presented here to finalize
the AeroRocket ion engine design. A final ion engine design is presented
in Figure-12 that more closely resembles a design intended to operate in
space. If this
information proves useful or interesting please send an
email to let us know.
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Figure-7
Modified ion engine turned off - sheet stationary
Compare to sheet deflection in Figure-5 |

Figure-8
Modified ion engine turned on - sheet deflected
Compare to sheet deflection in Figure-6 |
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Figure-9
Modified ion engine turned on - sheet deflected |

Figure-10
System-view of the ion engine - sheet deflected |
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Figure-11, Top-view of the AeroRocket ion
engine |
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PROPOSED ION ENGINE DESIGN
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Using the
electrostatic equations on page 590 of Rocket Propulsion
Elements, 6th Edition the rocket motor thrust for this ion
engine is 1.832 mN and the specific impulse is 19,000 seconds.
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Figure-12, Front View, Back View and Side
View of the AeroRocket ion engine |
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Figure-13, Ion engine test system, turned
off |

Figure-14, Ion engine turned off (left) and
on (right) |
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Copyright © 1999-2010 John Cipolla/AeroRocket. All rights
reserved |