rexresearch.com
St. Clair Index
John St. CLAIR Patent
Applications
US2003209635
Electric Dipole Moment Propulsion System
`
A spacecraft propulsion system utilizing a rotating octagon of
trapezoidal electrically charged flat panels to create an electric
dipole moment that generates lift on the hull. On the interior
side of each panel are electrostatically charged rods which
produce a planar electric field that emerges from holes in the
panel to form an ellipsoidal potential energy bubble on the
outside of the hull. The rotating hull dipole moment generates a
magnetic moment which, together with the magnetic field gradient
developed by the rotating electric field of the electrostatically
charged panels, produces said lift force. The potential energy
field is enhanced by using a double cladding of hull material with
different ranges of permittivities.
BRIEF SUMMARY OF THE INVENTION
[0001] The invention, which is the object of my present
application, is a spacecraft utilizing trapezoidal
electrostatically charged flat plate panels which form a pyramidal
hull. A panel contains three holes each of which produces a
potential energy ellipsoidal bubble that creates an electric
dipole moment. The rotation of the hull generates a magnetic
moment and a magnetic field gradient in the vertical direction
that produces a lift force on the spacecraft.
REFERENCE PAPERS
[0002] Gravitation, John Archibald Wheeler
[0003] Levitron, Hones, U.S. Pat. No. 5,404,062.
[0004] Classical Electrodynamics, John David Jackson, Chapter
3.12, Mixed Boundary Conditions; Conducting Plan with a Circular
Hole.
BACKGROUND OF THE INVENTION
[0005] I was reading Dr. Jackson's book about the formation of a
potential energy bubble by a hole in a conducting plane, a picture
of which is shown on page 134 of his book. It turns out that this
bubble creates an electric dipole moment from which it is possible
to get a magnetic moment. Then I realized that a rotating tilted
hull having a velocity gradient would produce a magnetic field
gradient in the vertical direction. This combination produces a
lift force on the spacecraft.
[0006] I did quite a number of computer simulations of the bubble
using an electromagnetic simulation software program. I found that
the hole in the plate doesn't produce a very large potential
energy bubble. So I created another simulation where the hole
protrudes out of the plate in an ellipsoidal shape. This produces
a much larger field. I then found that using a double cladding, in
which each layer has a different permittivity, confined the field
to the outside of the hull for even better results.
[0007] The planar potential energy is created by a grid of
electrically charged wires or rods running the length of each
panel. As shown by Feynman, the circular potential energy from
each rod very quickly sums to form a flat sheet of energy which
emerges from the hole to form said potential energy bubble.
SUMMARY OF THE INVENTION
[0008] The invention relates to a spacecraft utilizing a rotating
octagon of trapezoidal electrically charged flat plate panels to
form a hull in the shape of a pyramid. Each panel has three
protruding ellipsoidal bubbles that produce an electric dipole
moment from a planar potential energy field created by a group of
charged rods parallel to the panel. Because the panels are tilted
and the hull is rotating, there is a tangential velocity gradient
in the vertical direction. This creates the magnetic moment.
Because the hull rotates, the radial electric field produces a
magnetic field gradient in the vertical direction. This
combination of magnetic moment and magnetic field gradient
produces a lift force on the hull of the spacecraft.
[0009] On the underside of each panel is a group of high voltage
electrically charged rods which run parallel to the panel. These
wires or rods produce a planar electrical potential field
underneath the holes in the panel. This potential energy field
then bubbles out of the holes in the panel to create a large
ellipsoidal potential energy field above the hull. The potential
energy bubble carries an electric dipole moment which when rotated
with the hull generates a magnetic moment in the vertical
direction.
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
[0010] Not Applicable.
A BRIEF DESCRIPTION OF THE DRAWINGS
[0011] FIG. 1. Perspective view of electric dipole moment
spacecraft.
[0012] FIG. 2. Perspective exploded view of one panel with
the ellipsoidal domes, flat hull panel with three holes, the
charged rod grid and the planar potential energy field.
[0013] FIG. 3. Flat potential energy field produced by
electrically charge wire rods.
[0014] FIG. 4. The potential in terms of the electric field
of the rods times distance from rods.
[0015] FIG. 5. Cylindrical coordinates {t, r, [theta], z}.
[0016] FIG. 6. Ellipsoidal potential energy field emerging
from hole in plate. This produces an electric dipole moment.
[0017] FIG. 7. Computer simulation of potential energy
bubble.
[0018] FIG. 8. Centroid of an ellipse needed to calculate
dipole moment.
[0019] FIG. 9. The charge of the hole.
[0020] FIG. 10. The units are charge.
[0021] FIG. 11. The dipole moment p.
[0022] FIG. 12. The magnetic moment in terms of the dipole
moment and hull surface velocity.
[0023] FIG. 13. The magnetic moment in tensor notation.
[0024] FIG. 14. The lift force on the hull is equal to the
gradient of the dot product of the magnetic moment and magnetic
field.
[0025] FIG. 15. Maxwell's equation for the electric field
changing with time.
[0026] FIG. 16. The components of Maxwell's equation.
[0027] FIG. 17. The radial electric field rotates with the
angular velocity of the hull.
[0028] FIG. 18. The magnetic field is equal to the velocity
of the hull times the electric field of the hull divided by the
speed of light squared.
[0029] FIG. 19. The magnetic field gradient is proportional
to the tangential velocity gradient along the panel.
[0030] FIG. 20. The hull profile needed to get the velocity
gradient.
[0031] FIG. 21. The three vectors of the electric dipole
moment (A), the tangential velocity of the hull (B), and the
magnetic moment (C).
[0032] FIG. 22. The magnetic moment components in the
radial and vertical direction. The dot product of the vertical
magnetic moment with the magnetic field gradient is the lift
force.
[0033] FIG. 23. Cross section of dome showing two layer
cladding with different permittivities to enhance potential
energy field.
[0034] FIG. 24. Computer simulation of potential energy
field around dome.
DETAILED DESCRIPTION OF THE INVENTION
[0035] 1. Referring to FIG. 1, the spacecraft is a rotating
octagon of trapezoidal electrostatically charged flat panels which
form a closed hull (A). Each panel has three ellipsoidal domes (B)
of varying size centrally located along the major length of the
panel. The purpose of the dome is to create a large ellipsoidal
potential energy bubble over the hull which develops an electrical
dipole moment. Because the hull is rotating, a magnetic moment is
created in the vertical direction. A magnetic field gradient
created by the rotating electric field on the hull in combination
with said magnetic moment produces a lift force on the hull.
[0036] 2. Referring to FIG. 2, the trapezoidal hull panel (A)
contains three ellipsoidal holes (E). A group of wires or rods (C)
running parallel to and just underneath the panel are electrically
charged to a high voltage at the end terminals (B). Said rods
produce a planar potential energy field (D) just under the holes
in the panel. The field emerges from the holes in the shape of an
ellipsoidal bubble and is amplified by an ellipsoidal dome (F) on
the outside of the hull.
[0037] 3. Referring to FIG. 3, the group of parallel rods (A) are
given a linear charge [lambda] in units of charge per meter. The
electric field E developed by the rod is the linear charge divided
by the circumference of a circle of radius r around the wire times
the permittivity [epsilon] of space. The analysis of this
arrangement shows that within a few grid width spacings, the
potential energy field [phi] has become planar (B) in the
z-direction given by the equation in FIG. 4.
[0038] 4. The forthcoming analysis is done in cylindrical
coordinates, FIG. 5.
[0039] 5. Referring to FIG. 6, the ellipsoidal potential energy
(B) emerges through the hole in the panel plate (A). In doing so
it creates an electrical dipole moment (C) shown by the arrow
normal to the hole area. The theoretical analysis matched a
computer simulation of this emergence of the bubble (B) through
plate (A), as shown in FIG. 7.
[0040] 6. Because the bubble has the shape of an ellipse, the
centroid of the bubble would be four thirds the radius a divided
by [pi] as given in FIG. 8. The electric dipole moment is then
given as the charge times said centroid. The charge of the hole is
equal to the permittivity times the electric field emerging from
the hole times the area of the hole as seen in the equation of
FIG. 9 with the units of charge, FIG. 10.
[0041] 7. The electric dipole moment is said centroid times said
charge, as seen in the equation given in FIG. 11 and having units
of coulomb-meter. Notice that the electric dipole moment p times a
velocity v is equal to a magnetic moment [mu] which is what
creates the lift force on the hull as shown in the next FIG. 12.
[0042] 8. The rotating hull creates the electric dipole moment
velocity so that the entire hull develops a magnetic moment. In
tensor notation, FIG. 13, the magnetic moment is in the vertical
direction because there is a radial component of the electric
dipole moment times the velocity. The velocity is the radius r in
the radial direction times the angular velocity in the
z-direction.
[0043] 9. The force on the hull is the gradient of the dot product
of the magnetic moment with the magnetic B field given in equation
FIG. 14.
[0044] 10. By electrically charging the hull of the vehicle, a
radial electric field is produced. By rotating the hull, the
radial electric field changes with time. Thus Maxwell's equations
will involve the curl of the magnetic field in the radial
direction because the radial electric field is varying with time.
Maxwell's equation is seen in FIG. 16.
[0045] 11. The cross product involves the magnetic field in the
theta direction which is zero. The electric field varies with time
as shown in FIG. 17. Substituting the derivative of the electric
field and integrating with respect to angle theta gives the
vertical magnetic field as the tangential velocity times the
radial field divided by the speed of light squared (FIG. 18).
[0046] 12. Now the force on the hull is the gradient of the
magnetic moment times the magnetic field. In the equation for the
magnetic field, the only available variable to work with in order
to get a gradient is the velocity. To me this was the surprise in
this invention. The velocity had to be a function of the height of
the hull (FIG. 19) which meant that the hull had to be in the
shape of a pyramid, FIG. 20. Using eight flat sides keeps the
radial electric field pointing in the same direction in each
panel. Each panel has three domes to produce the magnetic moment
for a total of 24 magnetic moment generators.
[0047] 13. Referring to FIG. 21, the electric dipole moment (A)
points in the radial direction, the rotating hull produces a
tangential velocity (B), and the result is a magnetic moment (C)
along the panel.
[0048] 14. Because the magnetic moment is parallel to the panel,
there are vertical and radial components of the magnetic moment.
The vertical magnetic moment creates the dot product with the
magnetic field gradient, which is equal to the lift force, as
depicted in FIG. 22.
[0049] 15. FIG. 23 shows a cross-section of the dome (A) and the
plate hole (B) with double cladding to enhance the field as
determined by computer simulation. The upper cladding (D) has a
low relative permittivity in the range of 2 to 40, and the lower
layer has a high relative permittivity in the range of 1200 to
4000. This dome and cladding configuration creates a much larger
electric dipole moment compared to a hole in the plate, comparing
FIG. 23 to that of FIG. 7. The wavy lines are the equi-potential
energy lines from the dome (C) and the upper layer (B) and the
lower level (A).