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Direct Thrust Measurements of an EM Drive and Evaluation of Possible Side-Effects

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Abstract and Figures

The EMDrive has been proposed as a revolutionary propellantless thruster using a resonating microwave cavity. It is claimed to work on the difference in radiation pressure due to the geometry of its tapered resonance cavity. We attempted to replicate an EM Drive and tested it on both a knife-edge balance as well as on a torsion balance inside a vacuum chamber similar to previous setups in order to investigate possible side-effects by proper thermal and electromagnetic shielding. After developing a numerical model to properly design our cavity for high efficiencies in close cooperation with the EM Drive's inventor, we built a breadboard out of copper with the possibility to tune the resonance frequency in order to match the resonance frequency of the magnetron which was attached on the side of the cavity. After measuring the Q-factor of our assembly, we connected the EMDrive to a commercial 700 W microwave magnetron. Our measurements reveal thrusts as expected from previous claims (due to a low Q factor of <50, we observed thrusts of +/-20 µN) however also in directions that should produce no thrust. We therefore achieved a null measurement within our resolution which is on the order of the claimed thrusts. The purpose of the test program was to investigate the EMDrive claims using improved apparatus and methods. To this end it was successful in that we identified experimental areas needing additional attention before any firm conclusions concerning the EMDrive claims could be made. Our test campaign therefore can not confirm or refute the claims of the EMDrive but intends to independently assess possible side-effects in the measurement methods used so far. We identified the magnetic interaction of the power feeding lines going to and from the liquid metal contacts as the most important possible side-effect that is not fully characterized yet and which needs to be evaluated in the future in order to improve the resolution.
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American Institute of Aeronautics and Astronautics
1
Direct Thrust Measurements of an EM Drive and Evaluation
of Possible Side-Effects
M. Tajmar
1
and G. Fiedler
2
Institute of Aerospace Engineering, Technische Universität Dresden, 01062 Dresden, Germany
The EMDrive has been proposed as a revolutionary propellantless thruster using a
resonating microwave cavity. It is claimed to work on the difference in radiation pressure
due to the geometry of its tapered resonance cavity. We attempted to replicate an EM Drive
and tested it on both a knife-edge balance as well as on a torsion balance inside a vacuum
chamber similar to previous setups in order to investigate possible side-effects by proper
thermal and electromagnetic shielding. After developing a numerical model to properly
design our cavity for high efficiencies in close cooperation with the EM Drive’s inventor, we
built a breadboard out of copper with the possibility to tune the resonance frequency in
order to match the resonance frequency of the magnetron which was attached on the side of
the cavity. After measuring the Q-factor of our assembly, we connected the EMDrive to a
commercial 700 W microwave magnetron. Our measurements reveal thrusts as expected
from previous claims (due to a low Q factor of <50, we observed thrusts of +/-20 µN)
however also in directions that should produce no thrust. We therefore achieved a null
measurement within our resolution which is on the order of the claimed thrusts. The
purpose of the test program was to investigate the EMDrive claims using improved
apparatus and methods. To this end it was successful in that we identified experimental
areas needing additional attention before any firm conclusions concerning the EMDrive
claims could be made. Our test campaign therefore can not confirm or refute the claims of
the EMDrive but intends to independently assess possible side-effects in the measurement
methods used so far. We identified the magnetic interaction of the power feeding lines going
to and from the liquid metal contacts as the most important possible side-effect that is not
fully characterized yet and which needs to be evaluated in the future in order to improve the
resolution.
Nomenclature
c = speed of light = 3×10
8
m/s
f = frequency
F = force
P = power
I. Introduction
ll present propulsion systems rely on the exchange of momentum and therefore require either propellant on
board (chemical, nuclear electric propulsion) or an external field/radiation pressure against which they can
push (electromagnetic tethers, solar sails)
1
. Only the concept of the photon rocket may be seen as a true
propellantless propulsion system as it converts onboard electric power into directed radiation that in turn produces
thrust. However, the thrust is exceptionally small (F=P/c) where megawatts of power are needed to generate milli-
Newtons of force. Therefore, such a propulsion system has only been studied as a concept so far. Recently, Bae
2
demonstrated that this force could be drastically increased by pumping radiation between two highly reflected
mirrors. However, here two satellites are required and only a relative radiation force between the two can be
generated.
1
Professor, Director of Institute and Head of Space Systems Chair, Email: martin.tajmar@tu-dresden.de, Senior
Member AIAA.
2
MSc Graduate.
A
American Institute of Aeronautics and Astronautics
2
Some years ago, Shawyer
3-7
claimed to have invented yet another type of propellantless propulsion system called
EMDrive that only uses onboard electrical power similar to the photon rocket, but with orders of magnitude more
thrust and without the need of another satellite. If true, this could certainly revolutionize space travel. His concept is
illustrated in Fig. 1. Microwaves (e.g. generated using a Magnetron) are guided through a waveguide into a tapered
cavity which is highly reflective on the inside boundaries. He refers to the work of Cullen
8
who says that the group
velocity of a microwave depends on the diameter of the waveguide. Shaywer then interprets the tapered cavity as
two waveguides with different group velocities and therefore different radiation pressures at the ends. This is
claimed to result in a net radiation pressure that scales with the Q factor (amount of reflections inside the cavity
before the radiation is absorbed) of the cavity. As Newton’s law of action and reaction must be conserved, the whole
thruster is then supposed to react against the inside radiation pressure in the opposite direction which can be used to
propel e.g. a spacecraft. The thrust direction should therefore point from the larger to the smaller diameter of the
cavity.
Figure 1. EMDrive Concept.
It must be noted that Shawyers analysis and claims are highly controversial (e.g. Ref. 9) as this would obviously
violate the conservation of momentum (pushing against itself) following his theory. Aside from the theoretical
concept, most interesting are the experimental claims that have been published to date. Shawyer
3
tested the
EMDrive on a balance in the upwards and downwards direction observing weight changes (=thrusts) close to his
theoretical predictions using precise Q factor measurements with 16 mN using 850 W of microwave power close
to 5600 times larger than expected from pure classical radiation thrust. He claimed to have done checks for thermal
and electromagnetic influence. Later testing was done on a torsion balance using air bearings where he observed
rotation of the complete apparatus with all electronics and power supplies on-board
6
.
Independent tests were carried out in China by Yang et al
10-12
who tested the EMDrive on a force-feedback thrust
stand and achieved up to 720 mN of thrust with 1000 W microwave power with even higher Q factors compared to
Shawyer. Most recently, Brady et al
13
tested the concept on a torsion balance at NASA with a µN resolution
obtaining thrusts of 50 µN using only 20 W of RF power. The microwave electronics were mounted on the balance
and power was fed using liquid metal contacts. Strong magnets were used for eddy current damping of the balance
and a laser interferometer for monitoring the balance movement. Testing was quite limited (only a few test runs
performed, no thruster direction reversal) and interaction with the magnetic damping during operation of the thruster
was observed however below the EMDrive thrust values. A null measurement was performed using a resistor
instead of the EMDrive.
So far, all measurements were performed in ambient air, which for sure can lead to significant side-effects like
air convection currents or buoyancy due to heat dissipated from the EMDrive. We decided to build our own
EMDrive model and to evaluate such side-effects in representative measurement setups similar to the simple balance
setup used by Shawyer as well as using a torsion balance similar to the NASA setup. For the first time, we
performed some limited tests also in high vacuum completely removing any influence from the ambient pressure.
Magnetron
Tapered Cavity
Waveguide
F
radiation
F
radiation
F
radiation
Smaller Group Velocity
Larger Group Velocity
Theory
F
radiation
Net Radiation Force
F
thruster
F
radiation
F = -
thruster
American Institute of Aeronautics and Astronautics
3
II. Design and Characterization of EMDrive Thruster Model
We started by designing a model optimized for a frequency of 2.45 GHz using COMSOL in order to be able to
use commercial magnetrons used in standard microwave ovens. We iterated our design several times by consulting
with R. Shawyer to be as representative as possible. Our final tapered cavity design had an internal top radius of
38.5 mm, a bottom radius of 54.1 mm and a height of 68.6 mm as well as a side entrance for the microwaves as
shown in Fig. 2. The cavity was made out of three copper pieces with a wall thickness of 3 mm where the lower and
middle part as well as the side flange were hard soldered using silver and the top part was able to adapt its position
in order to optimize for a high Q factor. A standard WR340 waveguide was then used to connect the magnetron to
the EMDrive.
a.) COMSOL Simulation b.) CAD Design c.) Prototype with Waveguide, Magnetron
Figure 2. TU Dresden EMDrive Prototype.
The Q factor measurement was then done using a spectrum analyzer (see Fig. 3a). Unfortunately, the absorption
peak at the resonance we were aiming at was smaller then expected (probably also due to misalignments after
soldering). We calculated the Q factor using the difference of the frequencies on both sides of the peak (f
1
, f
2
) as
well as the resonance frequency f
0
:
8.48
GHz4.2GHz45.2
GHz44.2
12
0
=
=
=
ff
f
Q
(1)
This Q factor is of course much smaller compared to the models from Shawyer, Yang and Brady (which was in
the range of 10,000 100,000). A much larger resonance peak appeared above 3 GHz, but as we did not have a
variable frequency microwave source we had to stick to Q≈50. As our magnetron had an output power of 700 W, we
expected a thrust of 98.2 µN according to Shawyer’s models. This was much higher than the resolution of our
measurement equipment (< 0.1 µN) and we therefore decided to go ahead with testing and explore this low Q factor
regime. After all adjustments, epoxy adhesive was used to fix the EMDrive’s top part on the cavity. Afterwards,
some vibration testing was done and the Q factor measurement repeated to be sure that it does not change after
extensive testing.
Next, we used thermal imaging to determine the temperature profile of our EMDrive under power in air. The
magnetron itself was by far the hottest part. After a pulse of 90 s, the temperature on the microwave generator easily
reached close to 200°C while the smaller diameter part of the EMDrive reached about 35°C (see Fig. 3b). If we
assume that only the air inside the EMDrive cavity is heated up to an average temperature of 35°C with respect to
room temperature, the upward force due to buoyancy is around 70 µN and therefore close to the thrust that we want
to measure. Heat and ambient air is therefore indeed a possible error source that needs to be evaluated carefully.
However, it should be also easily identifyable as buoyancy thrust only points upwards. We also wrapped thermal
isolation (glass wool) around the EMDrive and noted only a temperature increase of 4°C which was measured
more than 4 minutes after power shut down due to the low thermal conductivity through our isolation.
American Institute of Aeronautics and Astronautics
4
a.) Resonance Measurement b.) Thermal Imaging
Figure 3. Resonance and Thermal Measurement of EMDrive Prototype.
III. Measurements
A. Beam Balance Setup
We first tested our EMDrive on a beam balance setup using a sensitive Sartorius AX224 sxale with a resolution
of 0.1 mg which translates into 1 µN. Since the EMDrive was much heavier than the maximum 220 g which the
balance can support, the thruster was mounted inside a large aluminum box on one side and counter weights together
with the balance on the other side using a knife-egde balance setup
14
on top of a granite table to reduce vibrations as
shown in Fig. 4. The magnetron was connected with three cables to the high-voltage electronics that was powered
by a computer-controlled power supply (two from the HV transformer and one grounding cable). After installation,
the box was sealed using an aluminum sheet and tape around the box such that hot air can not easily escape the
measurement box. All other surface-edges inside the box where sealed using silicon.
a.) EMDrive inside Measurement Box b.) Measurement Box Sealed c.) Thermal Isolation (Top)
and Magnetic Isolation (Bottom)
Figure 4. Balance Test Setup.
In addition to testing the thruster in different directions (upwards, downwards and horizontally the balance
reading was such that an upwards oriented thruster shall give positive weight changes/thrusts), we implemented
several different isolation methods (see Fig. 4c) in order to evaluate and remove possible effects from
electromagnetic or buoyancy influence. Specifically, we implemented:
Thermal isolation: Glass whool wrapped around the thruster and fixed with tape in order to slow down heating of
the air around the EMDrive
Magnetic isolation: Iron sheets with high magnetic permeability were also wrapped around the thruster
Air Circulation Block: The whole interior of the measurement box was filled up with glass whool in order to
reduce any hot air currents inside the measurement box
American Institute of Aeronautics and Astronautics
5
Moreover, we also checked if the operation of the EMDrive itself does influence the Sartorius balance by
powering it up in the same setup but using less counter weight such that the balance was free. The balance reading
was stable during turn-on/off and therefore no electromagnetic influence was seen.
Fig. 5a shows the summary of thruster upwards direction measurements comparing the different isolation
methods. The EMDrive was powered up for 15 s with a 600 s delay time before and after the impulse to ensure that
any heat generation was sufficiently removed before the next run. The measurements were repeated and signal
averaged up to 38 times. We can see in Fig. 5a that there is obviously a turn-on effect and then a steady increase
after abount 8 s of the measured weight change (thrust). In case of no countermeasure/isolation, the weight change
also further increased after turn-off. Thermal shielding significantly reduced the buoyancy effect and the addition of
magnetic shielding did not change much of the observed offsets (only the offset at the end of the power peak was
different). The implementation of all isolation methods (thermal, magnetic, air circulation block) resulted in the
cleanest measurement with an expected behavior such that the thrust appeared after turn-on, then steadily increaseed
until power turn off. It then remained there and slowly decreased as the EMDrive cooled down.
Fig. 5b shows then the comparison of upwards, downwards and vertical thruster direction measurements using
the full isolation configuration. Remarkably, we can indeed see a fairly large difference between thrust directions.
The difference between upwards and downwards measurements was 229 µN and therefore close to our expectation
of 2x98 µN. The horizontal direction was supposed to be our zero thrust reference, and indeed it was about only 1/3
of the downwards measurement. Our observations are as follows:
The balance configuration seems to indeed measure thrust in the correct direction and magnitude as claimed by
Shawyer.
The horizontal direction was supposed to measure only thermal effects and no thrust. We observed a turn-on
effect (of the same magnitude compared to other thrust directions but with an opposite value) and then an
increase to about 100 µN until the power was turned off. We then saw a behavior that was indeed expected from
a thermal side-effect: The thrust still further increased a bit (delay from thermal shielding) and then went down
to zero.
The thruster up/down direction showed a very different behavior. They increased to 620 µN and 391 µN
respectively and then remained constant for a much larger time compared to the horizontal direction. A different
orientation of the magnetron (horizontal versus vertical) may have caused different thermal signatures and
therefore buoyancy effects. Still, this behavior was really different and repeatable. In the much lower power
measurements from Brady et al
13
on the torsion balance, we can also see that it took some time after power turn-
off that the balance reading went back to zero. This looks like a thermal effect that is still present and was not
removed by our isolation efforts.
a.) Summary of Upwards Measurements b.) Summary of All Directions with Thermal-, Magnetic-
Shielding and Air Circulation Block
Figure 5. Summary of Tests with Balance Setup (Time Axis shows only Part).
280 290 300 310 320 330 340 350
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2000
Magnetron Voltage [V]
Force [µN]
Time [s]
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Thermal+Magnetic Shield+Circulation Block
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Magnetron Voltage [V]
Force [µN]
Time [s]
Up
Down
Horizontal (Null)
Thrust=229 µN
-100
-50
0
50
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American Institute of Aeronautics and Astronautics
6
Our weakest part in this setup was certainly the simple connection of the magnetron with three flexible silicon
isolated wires to the power supply. A current of several Ampere is flowing over those wires which can generate
significant magnetic forces (although we tried to keep the wires close together such that the magnetic effects cancel)
that may have influenced our measurements. This together with the buoyancy effect made this measurement setup
less convincing compared to a torsion balance setup.
B. Torsion Balance Setup in Vacuum Chamber
We have built a torsion balance for electric propulsion testing that can support 12 kg on a balance arm and
features liquid metal power feeding (using Galinstan cups), magnetic and fluid damping. We use the attocube FPS
laser interferometer with superior resolution and drift characteristics which results in sub nano-Newton thrust
resolutions and very low drifts which makes it one of the best thrust balances available today
15
. The torsion balance
is mounted inside a large vacuum chamber (1.5 m length and 0.9 m diameter) which sits on top of a Newport optical
table to damp it from outside vibrations (see Fig. 6). In addition, rubber damping is used inside the vacuum chamber
to further isolate the balance. The chamber is equipped with an Edwards XDS35i scroll pump and a Pfeiffer HiPace
2300 turbo pump (>2000 l/s) to achieve a base pressure in the 10
-7
mbar range. Fig. 7 shows the different thruster
orientations on the balance that we tested: horizontal (positive and negative thrust directions) as well as vertical
(pointing upwards). We believed that a vertical thruster orientation would be a better zero-reference compared to the
resistor replacement of the thruster as done by Brady et al
13
as here we can better catch the same thermal/magnetic
signature. Also, we found out by using a microwave detector that during testing, some microwave radiation was
leaking out into the vacuum chamber although the tapered cavity was soldered and glued together. In this setup, the
power electronics were outside the chamber (HV transformer, capacitor, diode) and the three connections required
by the magnetron (HV plus/minus and ground) were supplied via the liquid metal contacts next to the thruster.
a.) Vacuum Chamber b.) EMDrive on Torsion Arm c.) Torsion Balance in Vacuum Chamber
Figure 6. Torsion Balance Setup.
a.) Horizontal Positive Direction b.) Horizontal Negative Direction c.) Vertical Direction (Pointing Up)
Figure 7. Torsion Balance Thruster Orientations.
American Institute of Aeronautics and Astronautics
7
Our testing was first done using magnetic eddy-current damping similar to the setup from Brady et al
13
. We
started with tests in ambient air (but closed vacuum chamber) as summarized in Fig. 8a. We performed a 40 s
impulse with 900 s before and afterwards during each run to allow suffient time for the magnetron to cool down. A
temperature sensor (K thermocouple) was mounted on the magnetron and the temperature was logged during the
experiments (temperature readout was done on the balance and the digital value transmitted via IR communication
without wires to the computer). This ensured that all tests were done with the same thermal signature. Again, all
tests (usually up to 10) are signal averaged. Our observations are as follows:
The control experiment (vertical upwards direction) actually gave the biggest thrust with up to 224 µN. We
could again see a turn-on effect and a steady increase during the power pulse until power turn-off. After that,
the thrust values again remained at their high offset and gradually decreased. The slope actually followed quite
well the temperature of the magnetron that rose up to around 190°C and then gradually decreased at the same
rate confirming our suspicion that this signature has a strong thermal origin.
The horizontal measurements for positive and negative thruster orientations rose during the pulse up to 96 µN
and 145 µN respectively. They showed a similar behavior compared to the vertical direction with a somehow
faster decay after power turn-off. The thrust values were now reversed (the positive thrust was smaller
compared to the negative thrust). However, considering the fact that the control experiment gave the largest
thrust, no conclusion can be derived here. The difference in thrust was 49 µN which led to 24.5 µN for each
direction that is about 25% of the thrust prediction according to Shawyer and our measurements with the knife-
edge setup before.
We were really puzzled by this large thrust from our control experiment where we expected to measure zero. The
power signal to the magnetron consisted of a heater current (up to 5A) which was on high voltage (2000 V) with
respect to ground. We disconnected the high voltage power electronics and connected a high voltage power supply
running only the same 2000 V through the two cables without any current to check if that created any false signal
which it did not. Only when a large current was flowing through the magnetron cables, a large apparent thrust was
measured. Therefore, we believed that the anomalous signal must be due to magnetic interaction with our permanent
magnet damping.
a.) Air Measurements with all Directions b.) High-Vacuum Measurement of Negative Direction
at Different Voltages Supplied to the Magnetron
Figure 8. Summary of Tests on Torsion Balance with Magnetic Damping (Time Axis shows only Part).
However, before changing damping, we tried to assess if air heating/buoyancy effects could still play a role as
the signal followed the temperature decay from the magnetron. Therefore, we tested the large horizontal negative
thrust direction in high vacuum by evacuating the chamber down to 4×10
-6
mbar. As shown in Fig. 8b, we gradually
increased the voltage of our pulse that went into the high voltage power transformer from 50 V up to 220 V (usually
we operated at 230 V) exceptionally, only single measurements were recorded here. According to a magnetron
manufacturer, microwaves are starting to be generated if around 150 V are suppled to the HV transformer – however
with lower power (unfortunately, we had no equipment to measure the power level at those voltages, but we noted
that if we operated below 230 V the temperature on the magnetron did not increase). Indeed we saw that only after
reaching 150 V, a thrust appeared on the balance similar in value to the one on air (no thrust for 50 and 100 V). This
1700 1750 1800 1850 1900 1950 2000
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Torsion Balance Comparison (Magnetic Damping)
Magnetron Voltage [V]
Force [µN], Temperature [°C]
Time [s]
Positiv
Negative
Control (Up)
-50
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200
250
Temp.
0 10 20 30 40 50
-50
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Power Supply
Shut-Off
Torsion Balance Comparison - High Vacuum (4x10
-6
mbar)
Horizontal Negative (Magnetic Damping)
Normalised Magnetron Voltage [V]
Force [µN]
Time [s]
220V
200V
150V
100V
50V
0,0
0,5
1,0
American Institute of Aeronautics and Astronautics
8
thrust even increased at 200 V to 325 µN. Interestingly, the thrust now also remained stable and did not immediately
return to zero after power turn-off just as we have seen it with the measurements done on air in Fig. 8a. But when
we reached 220 V, the power supply shut down due to over current protection around 5 seconds after starting the
pulse. Before the power supply failure, the thrust value was very similar to the 200 V case and it decreased to zero
shortly after power shutdown (maybe no time to “charge up” the EMDrive). We later found out that there was a thin
grey film around our liquid metal cups as if liquid metal had evaporated creating a shortcut. At least we could show
that the thrust we measured in vacuum had a similar shape compared to the measurements in air and that they can
not be due to any air-related side effect (at least not all of it).
In order to check the magnetic influence hypothesis, we completely removed the permanent magnet from the
base of our balance and replaced it with a cup of oil and a fin dipping into the oil and mounted on the balance (see
Fig. 9a). In addition, we switched the magnetron position such that it now pointed outwards and therefore as far
away as possible from our liquid metal connection (see Fig. 9b).
a.) Oil Fluid Damping b.) Magnetron Outer Position
Figure 9. Torsion Balance Setup with Oil Fluid Damping and Magnetron on Outer Position.
Fig. 10 shows our measurements in this setup with oil fluid damping. The damping here is less effective as with
the magnetic eddy-currents, however, we can still achieve sub-µN thrust resolutions. In Fig. 10a, a summary of all
thrust directions is shown. Our observations are as follows:
We could see the typical balance oscillations and that the thrust values were now greatly reduced.
Still we noted that the vertical direction (upwards) gave a thrust of around 24 µN which immediately droped to
zero when the power was switched off.
The positive thrust orientation now also went positive up to a value of 18 µN slightly below the vertical
direction.
The negative thrust orientation went indeed negative down to -27 µN. This was the first time that we have
actually seen a real thrust reversal. The thrust orientations now coincide again with Shawyer’s predictions and
our earlier knife-edge measurements. Surprisingly, here also the thrust remained at an offset that slowly
degradeed. To a minor extend this was also true for the positive orientation.
The fact that our control experiment (vertical) showed thrust values similar in magnitude compared to the
positive and negative direction actually means that we have performed a null measurement within our
measurement resolution (which is on the order of prediction of the EMDrive thrust).
In Figs. 10b-c, we show the positive and negative thrust pulses together with control runs powering the
magnetron electronics only with 150 V (onset of microwave generation) compared to 230 V. No clear difference can
be seen for the positive direction but a clear difference (within the resolution of our measurement) is visible for the
negative thrust direction. The magnitude of these thrust measurements are simiar to the ones where magnetic
damping was used and are therefore 25% of the original prediction.
American Institute of Aeronautics and Astronautics
9
a.) Summary of All Directions b.) Horizontal Positive Direction c.) Horizontal Negative Direction
Figure 10. Summary of Tests on Torsion Balance with Oil Fluid Damping (Time Axis shows only Part).
In order to check if the lower thrust may be due to an even lower Q factor at the end of our extensive test
campaign, we performed another resonance measurement. Indeed we measured that our Q factor was reduced to
only 20.3 probably due to the fact that our inner surfaces were now much more oxidized compared to the start of
our test campaign after a visual inspection. This reduces our theoretical thrust to 41 µN which is only a third less
of what we have measured in our last runs and is therefore well within the expected range.
IV. Conclusion
We have built and tested an EMDrive using a commercial standard magnetron with a resonance frequency of
2.44 GHz and 700 W of power in setups similar to the ones used in the past in order to assess possible side effects
and their claimed thrust values. Our thruster had a considerably smaller Q factor (around 50 for the first tests and 20
at the end) compared to others (10,000 – 100,000), however our test facilities had a higher sensitivity as well.
Our first tests were done with a knife-edge balance configuration and we assessed different isolation scenarios in
order to see any thermal or electromagnetic influence. As expected, we noticed a large thermal effect that could be
significantly reduced by thermal isolation and by blocking any air circulation inside our measurement box. We
indeed found thrusts that changed with the orientation of the thruster and magnitudes in line with the theoretical
predictions for our low Q factor. After turning off the power, the thrust values in the order of several hundred µN
remained and slowly degraded after power shut-off. Considering that the EMDrive and especially the magnetron
mounted on it can get hot, such a setup does not seem to be able to adequately measure precise thrusts.
We continued with testing on a torsion balance inside a vacuum chamber. Here we also found thrusts but quickly
realized that there was a strong interaction with our magnetic damping system. Still we used this setup to test an
EMDrive for the first time in high vacuum down to 4×10
-6
mbar observing similar thrusts (although at somewhat
lower power levels) ruling out any air influence in this configuration. After changing the position of the magnetron
(outer position) and replacing the magnetic damping with oil fluid damping, surprisingly we could still observe
thrusts that are indeed reversing with thruster orientation but with control runs in vertical direction producing similar
thrusts compared to the positive direction. However, negative thrusts were only observed with firing the thruster
indeed in a negative direction. Running the magnetron also in this direction at lower voltages produced similar
positive values as the vertical control experiment. The thrusts observed with the oil-damped torsion balance were
close to the original prediction taking our small Q factor into account (around +/- 20 µN for 700 W of microwave
power still an order of magnitude more effective than pure radiation thrust). We also observed that the thrust
appeared not to go down to zero immediately after power is switched-off but rather noted a gradual decrease which
still looks like a thermal artefact. The fact that our control experiment (vertical) showed thrust values similar in
magnitude compared to the positive and negative direction actually means that we have performed a null
measurement within our measurement resolution (which is on the order of prediction of the EMDrive thrust)
The nature of the signals observed is still unclear. Additional tests need to be carried out to study the magnetic
interaction of the power feeding lines used for the liquid metal contacts. Indeed many more checks remain like
studying effects from outgassing, thermal effects from the magnetron, etc. Our test campaign can not confirm or
refute in any way the claims of the EMDrive but intends to independently assess possible side-effects in the
measurements methods used so far. We did find a number of side-effects in the previous setups that indeed can
produce large false signals. More work is needed to assess other error sources and the source of the signals that we
266 0 2680 2700 2720 2740 2760 2780 280 0
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Torsion Balance Comparison (Fluid Damping)
Magnetron Voltage [V], Temperature [°C]
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Time [s]
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Control (Up)
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Temp.
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Thrust 18 µN
Horizontal Positive Direction (Fluid Damping)
Magnetron Voltage [V]
Force [µN]
Time [s]
Full P owe r (230V )
Control (150V)
-150
-100
-50
0
50
100
150
200
250
2600 2650 2700 2750 2800 2850 2900
-75
-50
-25
0
25
50
75
100
Thrust -27 µN
Horizontal Negative Direction (Fluid Damping)
Magnetron Voltage [V]
Force [µN]
Time [s]
Full P owe r (230V )
Control (150V)
-150
-100
-50
0
50
100
150
200
250
American Institute of Aeronautics and Astronautics
10
have observed. Next steps include better magnetic shielding, further vacuum tests and improved EMDrive models
with higher Q factors and electronics that allow tuning for optimal operation. We believe that this is a good
education project to track down measurement errors and as a worst case we may find how to effectively shield thrust
balances from magnetic fields.
Acknowledgement
We would like to thank Roger Shawyer for his assistance, attocube (Dr. Martin Zech) for their generous support
and supply of the FPS interferometric sensor for our test campaign and Prof. Plettemeier from TU Dresden who
assisted our Q factor measurements.
References
1
Tajmar, M., "Advanced Space Propulsion Systems", Springer, Wien-New York, 2003
2
Bae, Y.K., "Photonic Laser Propulsion: Proof-of-Concept Demonstration", Journal of Spacecraft and Rockets, Vol. 45, No.
1 (2008), pp. 153-155.
3
Shawyer, R., "The Development of a Microwave Engine for Spacecraft Propulsion", Space Chronicles JBIS, Vol. 58
Supplement 1, 2005, pp. 26-31
4
Shawyer, R., "Microwave Propulsion - Progress in the EMDrive Programme", Proceedings of the IAC Conference, IAC-
08.D1.1.01, 2008
5
Shawyer, R., "The EMDrive Programme - Implications for the Future of the Aerospace Industry", Proceedings of the CEAS
European Air and Space Conference, Manchester, 2009
6
Shawyer, R., "The EMDrive - A New Satellite Propulsion Technology", Proceedings of the 2nd Conference on Disruptive
Technologies in Space Activities, Toulouse, 2010
7
Shawyer, R., "The Dynamic Operation of a High Q EMDrive Microwave Thruster", Proceedings of the IAC Conference,
IAC-13.C4.P.44, 2013
8
Cullen, A.L., "Absolute Power Measurements at Microwave Frequencies", IEE Proceedings, Vol 99 Part IV, 1952, pp. 100-
111
9
Costello, J.P., "Why Shawyer’s ‘electromagnetic relativity drive’ is a fraud", http://johncostella.webs.com/shawyerfraud.pdf
(Accessed 5th July 2015)
10
Yang, J., Yang, L., Zhu, Y., and Ma, N., "Applying Method of Reference 2 to Effectively Calculating Performance of
Microwave Radiation Thruster", J. Northwestern Polytechnical University, Vol 28 No 6, Dec 2010
11
Yang J.,Wang, Y.Q., and Li P.F., "Net thrust measurement of propellantless microwave thruster, " Acta Phys. Sin, Vol. 61,
No. 11, 2012, pp. 110301
12
Yang, J., Wang, Y.Q., Ma, Y.J., Li, P.F., Yang, L., Wand, Y., and He, G.Q., "Prediction and experimental measurement of
the electromagnetic thrust generated by a microwave thruster system", Chin. Phys. B, Vol. 22, No 5, 2013, pp. 050301
13
Brady, D.A., White, H.G., March, P., Lawrence, J.T., and Davies, F.J., "Anomalous Thrust Production from an RF Test
Device Measured on a Low-Thrust Torsion Pendulum", AIAA 2014-4029, 2014
14
Lőrincz, I., and Tajmar, M., "Identification of Error Sources in High Precision Weight Measurements of Gyroscopes",
Measurement, Vol. 73, 2015, pp. 453-461
15
Bock, D., Rössler, F., Kössling, M., and Tajmar, M., "Development and Testing of Field Emission Thrusters at TU
Dresden", Proceedings of the 5th Russian-German Conference on Electric Propulsion, Dresden, September 7-12, 2014
... Because the exact dispersion relations for these sources is unknown, [21] uses a polynomial in the emitted photon frequency at 30 [GeV], see table [S1] in [21], ∆E = a0 + a1ω + a2ω 2 + a3ω 3 (24) where a0(GeV) = -0.00197, a1 = 0.0120, a2(GeV -1 ) = -846.2, ...
... The emdrive becomes an effective superradiant-photon rocket-motor shown in figure (5). [24] that shows how the reactionless emdrive works. The pair-production emdrive invented here is different in that the photons causing the net radiation force are allowed to escape from the top of the emdrive cavity conserving momentum. ...
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... Because the exact dispersion relations for these sources is unknown, [21] uses a polynomial in the emitted photon frequency at 30 [GeV], see table [S1] in [21], ∆E = a0 + a1ω + a2ω 2 + a3ω 3 (24) where a0(GeV) = -0.00197, a1 = 0.0120, a2(GeV -1 ) = -846.2, ...
... The emdrive becomes an effective superradiant-photon rocket-motor shown in figure (5). [24] that shows how the reactionless emdrive works. The pair-production emdrive invented here is different in that the photons causing the net radiation force are allowed to escape from the top of the emdrive cavity conserving momentum. ...
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Book
Introduction.-Propulsion Fundamentals: History Propulsion Fundamentals Trajectory and Orbits Classification of Propulsion Systems.- Chemical Propulsion Systems: Thermodynamic Characterization Chemical Propulsion Overview Nozzle Design -Atmospheric Flight Advanced Propellants Alternative Designs Reusable Launch Vehicles.- Launch Assist Technologies: Reduction of Required Du Advanced Drag Reduction Magnetohydrodynamic (MHD) Propulsion MHD Energy Bypass Application.- Nuclear Propulsion Systems: Overview Fission Propulsion Radioisotope Nuclear Rocket Fusion Propulsion Antimatter Propulsion.- Electric Propulsion Systems: Electrothermal Electrostatic Electromagnetic Induced Spacecraft Interactions.- Micropropulsion: Chemical Propulsion Electric Propulsion.- Propellantless Propulsion: Tethers Propellantless Electric/Nuclear Propulsion Photon Rocket Beamed Energy Earth-to-Orbit Propulsion Solar Sails Magnetic Sails.- Breakthrough Propulsion: Current Fundamental Limitations in Propulsion Quantum Physics, Relativity Theory, Electromagnetism and Space Propulsion Experiments Leading to Possible Breakthroughs When Will We Revolutionize Space Travel?.- Further Reading.- Subject Index
Article
The static operation of an EmDrive microwave thruster has once again been demonstrated by the Chinese experimental work reported in REF 1. The work repeats and enhances results obtained in earlier UK experiments, REF 2, and confirms the direct relation between specific thrust and Q factor of the cavity. This paper considers the dynamic operation of a thruster with the very high Q factors obtained when a cavity employs superconducting technology. The very high specific thrusts resulting from such second generation (2G) devices must be subject to the law of conservation of energy. It follows therefore, that there must be a mechanism which limits the acceleration of any vehicle propelled by a 2G EmDrive thruster. A mathematical model of a 2G thruster is described which illustrates such a mechanism. The results from the model illustrate the Doppler changes, which occur when a thruster is subject to acceleration. For Q factors around 1 × 109, the total Doppler shift moves the frequency outside the narrow resonant bandwidth of the cavity. This causes the loaded Q of the cavity, and thus the specific thrust, to decrease and therefore limits the acceleration. A technique, employing pulse operation and dynamic control of the cavity length, is described which enables partial compensation for the effect. The resulting thruster design, employing YBCO superconducting walls and liquid hydrogen cooling, achieves a specific thrust of 1 Tonne per kW, provided the acceleration is limited 0.5m/s/s. This low acceleration rate is compatible with primary in-orbit propulsion applications, and will be particularly suitable for deep space missions. For launch vehicles, the acceleration limitation is no obstacle; as a flight profile is proposed where high velocity is only achieved once clear of the atmosphere. Indeed the reusable, EmDrive propelled carrier vehicle itself, is only used to lift the payload to geostationary altitude, where an expendable propulsion module is used to provide orbital velocity. The resulting costs to geostationary orbit are predicted to be 130 times lower, when compared to current launch vehicles.
Article
According to the classic theory of electromagnetic (EM) fields, we develop a propellantless microwave thruster system that can convert microwave power directly into thrust without the need of propellant. It is expected to be useful for spacecraft. Different from conventional space plasma propulsion, the system can obviate a large propellant storage tank and the issues related to plasma plume interference with the spacecraft surface. Different from huge solar sails and microwave-propelled sails, the system uses a cylindrical tapered resonance cavity as a thruster and uses an integrated microwave source to generate continuous EM wave so that the EM wave is radiated into and then reflected from the thruster to form a pure standing wave with amplified wave amplitude. The pure standing wave produces a non-uniform EM pressure distribution on the inner surface of the thruster. Consequently, a non-zero net EM thrust exerting on the symmetric axis and directing to the minor end plate of the thruster appears. In experiments a magnetron is used as a microwave source with an output microwave power of 2.45 GHz frequency. The generated net EM thrust is measured using a force-feedback test stand. The developed thruster system is experimentally demonstrated to produce thrust from 70 to 720 mN when the microwave output power is from 80 to 2500 W.
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A number of weight anomalies have been reported in the past with respect to gyroscopes. Much attention was gained from a paper in Physical Review Letters, when Japanese scientists announced that a gyroscope loses weight up to 0.005%0.005\% when spinning only in the clockwise rotation with the gyroscope's axis in the vertical direction. Immediately afterwards, a number of other teams tried to replicate the effect, obtaining a null result. It was suggested that the reported effect by the Japanese was probably due to a vibration artifact, however, no final conclusion on the real cause has been obtained. We decided to build a dedicated high precision setup to test weight anomalies of spinning gyroscopes in various configurations. A number of error sources like precession and vibration and the nature of their influence on the measurements have been clearly identified, which led to the conclusive explanation of the conflicting reports. We found no anomaly within Δm/m<2.6×106\Delta m/m<2.6 \times 10^{-6} valid for both horizontal and vertical orientations.
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The introduction of the full paper reviews Refs. 1 and 2 and points out that we find that the method of Ref. 2, authored by Qiu Xiaoming et al and originally used on a completely different research project, is very effective for performing our performance calculations, which we explain in sections 1, 2 and 3. Section 1 briefs Ref. 1, whose only author, Roger Shawyer, proposed a theory of microwave propulsion of spacecraft. Sections 2 and 3 explain how we apply Ref. 2's method; their core consists of: (1) with the finite element method, we simulate the Maxwell's field equations for the microwave radiation thruster in the round-table cavity; (2) we acquire the resonant modes of the round-table cavity and the electromagnetic fields of 1000W inside the round-table cavity; (3) we analyze the characteristics of the microwave radiation thruster of different cavity structures and at different resonant modes; (4) the simulation results, presented in Tables 1 and 2, and their analysis show preliminarily that: (1) the quality factor and thrust at TE012 mode are the largest; (2) for the incident microwave of 1000 W and 2.45 GHz, with copper as the thruster's material, the largest theoretical thrust based on the classical theory of electrodynamics is 411 and 456mN respectively at TE011 and TE012 modes.
Article
A microwave thruster system that can convert microwave power directly to thrust without a gas propellant is developed. In the system, a cylindrical tapered resonance cavity and a magnetron microwave source are used respectively as the thruster cavity and the energy source to generate the electromagnetic wave. The wave is radiated into and then reflected from the cavity to form a pure standing wave with non-uniform electromagnetic pressure distribution. Consequently, a net electromagnetic thrust exerted on the axis of the thruster cavity appears, which is demonstrated through theoretical calculation based on the electromagnetic theory. The net electromagnetic thrust is also experimentally measured in the range from 70 mN to 720 mN when the microwave output power is from 80 W to 2500 W.