Gravitational forces and momentum are key components to this theory. If the force were greater than that which stabilizes an orbital then the body would fly off. If the force were less than that which stabilizes an orbital then the body would slow down and crash into the Sun. In effect, the planets are floating in space with just enough energy applied to overcome friction or any negative drag affects.
A critical force magnitude where too much or too little will not work. All the planets in the solar system, all the moons of all the planets, and all the satellites man has launched are in an elliptical orbit which eccentricity is small enough to be close to the special mathematical case of elliptical called a circle. This a mathematical orbit of a smaller mass about a larger mass which fits sinusoidal wave mechanics well. The velocity of the smaller mass must be such that the forward momentum which is altered by the force of gravity toward the larger mass in such a way that the net forces maintain the orbit. Unlike natural satellites, man's satellites decay in orbit and loose circular eccentricity as they fall back to Earth.
Kepler's and Newton's theory works well with an elliptical orbit as well as a circular orbit. However, their theory would not explain why the planets orbit's are aligned. Bode-Titus couldn't relate Kepler's and Newton's theory to the systematic steps in orbital.
The best word to use describing a planet's orbit if a force were the cause is vortex. The Webster's dictionary defines vortex as any activity, situation, or state of affairs that resembles a whirl or eddy in its rush, absorbing effect, irresistible, and catastrophic power, etc. Not getting into what whirl means, a vortex is the general word for any thing which causes an affect as a whirlpool, hurricane, or tornado among other things. The term whirl means to twist. A vortex is the affect of vector pressure. In a whirlpool it is the vectored forces of water, a tornado is the vectored forces of air, and a hurricane is of both vectored forces. The effect's center is a vortex.
The planets are twisting in a plane like a tornado. A vortex where the planets are would help explain why the planets are there. To use the term vortex, it is only important that vectored forces cause it to go around in circles. Multi vortex resonant points are positions in wave mechanics.
The way vectored forces react at some resonant point is some function of
. The critical components of a vectored function are where the function evaluates at 0,
/2,
, 3
/2, & 2
(0). The general cause of a vortex is the vectored forces by pressure. Pressure or pressure on a charge is immaterial to a vortex. To the term vortex, its not important where the vortex pressure is, but to Schrodinger, and the position of a group of vortexes, it would be. It would be fundamentally important to Schrodinger's principle that a group of spherical vortexes follow some mathematical function of quantum.

Schrodinger developed a wave equation that described discrete particle energy levels. He described these as wave traps. The magnetic, electric, and gravitational fields all follow Schrodinger's wave equations. It would follow that the eigenfunctions Schrodinger describes if applied to planets would create wave traps that also follow a series. The Bode-Titus relationship somewhat bares this out. Planet orbitals seem to have some relationship to discrete locations corresponding to a form of series. Except for zero, the first column in the Bode-Titus relationship follows the binary series of ( 2 ^n times 3 ) n = 0, 1, 2, 3, 4.... The probability of occurrence for such a series using this theory is very good. In an evenly distributed function the traps would be at an even distance. A proportional distributed functions, the traps would have a divergence or convergence.
Fitting Schrodinger's wave equations to the Bode-Titus relationship, a zeroth order function of 2 to the n ^th power works very well. The Schrodinger-Bode-Titus-Landau wave equation adaptation for orbitals n = 1, 2, 3, ... 9:

Adding a typical damping factor as a function of e, using
instead of 2 and 3.649 instead of 4, wave mechanics can explain this system vortex. Considering only the degrees of error for the position of each planet, the Schrodinger-Bode-Titus adaptation is much more accurate. Put it in a spread sheet, plot it in a graph, and see for yourself. Generally speaking, all that happened with the Schrodinger adaptation of the Bode-Titus relationship is a zeroth order function of -.5 * 1 x 10 ^-11 to make a zeroth order position, an empirically determined damping factor, and the use of
were added to modify the original version. The starting value of 4 was adjusted to center the error figures because there is no rule which states the first orbital is the most accurate. This series could be modified to start at n = 0 easy enough but people tend to think of the first occurrence of something as 1.
The Sun's gravitational affect and electromagnetic field strength decreases inversely proportional to the square of the distance. Pressure density directly affects group velocities where the frequency goes down with the square root of density. As frequency goes down, the wave length goes up. These affects would support the condition that the traps increase in separation as the drive forces become weaker. What would disprove this theory would be orbitals getting closer. Because orbitals aren't getting together, it can be said that Schrodinger's wave equations tend to support the theory rather than disprove it.
The vortex trap works by pressure, locking a body into a discrete positions relative to the energy source. Bohr's atom is an example of this affect. There is evidence of this type of vortex as the solar magnetic flux above and below the equator are lateral in directional. Equalized forces don't lock the body tight, they allow the body to float within there pressure areas. When the body is pushed up against the vortex wall, the body becomes more restricted. Should the force on the body in one vortex become very large, the body would quantumly jump to the next vortex. It takes a very large loss of energy to quantumly decay to a lower vortex. The loss of energy required is greater to drop an orbital than the energy require to increase an orbital.
This type of electromagnetic wave function could have other properties associated with it. Secondary eigenvalues and reflected energy are among others. As plasma is very prone to propagating electromagnetic waves, secondary and reflected waves are very possible. Group velocity perpendicular the same as in forward velocity is a function of mass. Both electrons and protons are moving thus, there are two different group velocity functions in a sideways direction. Therefore, sideways waves are possible within a vortex. Secondary, reflected, or perpendicular type waves could cause an affect in one or more of the orbital traps which is not present in the other traps. There easily could be secondary wave forces. The asteroids planetary orbital and Uranus may be setting in one of these secondary wave functions. It is easily possible that the electric force at the Uranus orbital is overridden by a node in a standing wave. My present theory with Uranus however, is a magnetic wind mill of some sort. It is also interesting to note, that the knee of the damping function starts at the asteroid orbit and crosses the quantum function at Uranus.
Wave mechanics and quantum would not explain why the planets are all aligned in a plane. So, there must be some reason. Possibly another vortex of sorts.
Measurements of the Sun's near Earth interplanetary magnetic field (page 33) show the actual interplanetary magnetic field does not go north to south but goes in and out to space. However, at exactly the center between the two nondipole space flux sheets there exists a totally neutral area, where the flux of the outward sheet is canceled by the inward (return) flux sheet. At exactly the center of the Sun's solar equator where these two sheet fluxes oppose of each other, there exists a special condition magnetically similar as two opposing fingers pushing at each other with equal pressure. Above and below this plane, the magnetic field vector has a direction toward the Sun or away from it.
An immediate question would be; what causes the sideways magnetic field vectors? This question could be followed easily by; what causes the vortexes? Both these questions are related.
First, one must realize solar space is a plasma made up of highly charged excited mobil particles. A second important aspect of solar space is it all seems to be in motion. By all being in motion, I mean the masses are moving and so are the fluxes. A situation where a particular charged particle group moving outward from the Sun accelerates sideways in the overall motion would cause an electrical current perpendicular to the outward motion. Such a current is referred to as a current by displacement. A current by displacement is different than a direct driven current cause by an electric vector operating on a charge. In solar space plasma it is very easy to displace charges. This yields a high probability of resonant points where there can be large charge displacements.
Although no scientific measurements have been done to ascertain if such an event of solar space currents exist, there is a high probability that currents of this nature can exist. The solar space sideways magnetic field vectors and vortex positions have been measured. They exist. Therefore, a scenario to account for such occurrences which is highly probable can be developed to explain the situation. James Maxwell liked to make assumptions in the beginning on an explanation, if it was good enough for him, it is good enough for me. This is a basic assumption which would account for the solar magnetic field and vortexes. Solar space electrical displacement currents moving perpendicular to the outward migration of particles drives the magnetic field and these displacement currents occur at resonant points corresponding to quantum increments based on the square law.
In the following graphic, the Sun is in the center and the shaded circles about the vertical axis are the electrical currents. About the current is a magnetic flux exactly like one would find about a loop of wire. It is immaterial that the current is a displacement current rather than a direct driven current as far as the magnetic field resulting from the current is concerned. Either displacement or direct drive electrical currents will generate a magnetic field. The electrical current is a complete loop, however the current may not be in a tight area as in a conducting wire. The actual resonant current loop points correspond to a distance along the diagonal which simply changes the relationship by a constant 2 ^0.5.

Due to the lack of space, the above drawing only has four of the electron resonance points and three magnetic flux interaction points. This relationship is not restricted to four or ten points, but in theory, can be an infinite number of points. Sooner or later in the expansion of the wave structure, the forces are going to be inadequate to support resonance, in which case, the current loop would cease. The directional component of the resonant points is identical for all polar loops. In other words, the upper loop electron displacement is in the same direction as the lower loop and as is for all the loops in between. Depending on how one looks at the motion of the planets, the electron displacement is in such a direction that the magnetic flux generated matches vector electromagnetic laws. Generally, the electron displacement direction is opposite the direction the planets are traveling. Due to the planetary systems being in between the polar resonance points and the currents are in the same direction, the magnetic flux influence is opposite.
Additionally, at particular points along the horizontal equatorial plane, magnetic flux vector vertical components will be opposite for those loops sunward of resonant points as those spaceward. Depending on current intensity, for all the loops, some form of magnetic pressure vortexes will exist at various points along the horizonal equatorial path between the loops. The variance in distance between the pressure areas corresponds to Bode-Titus 2 ^n quantum relationship and is directly proportional to the distance between current loops.
To relate this type of three dimensional spherical electromagnetic resonance concept to standard electronics, this is exactly the opposite function as a closed spherical microwave oscillator. What can be related to inductance is the length of the current loop and capacity is the dialectic stretch distance between loops. The fundamental frequency would be determined by the first loop. The system is divergent.
Any rotating system can generate this type of resonant pattern in a highly stressed electrical environment. This could easily be adapted for Uranus' moons along with the rest of the planet's moons. It would work for planetary rings too.
The force of gravity fits this vortex relationship because the theory's of Kepler and Newton work for all distances from the center. This relationship converts the infinite amount of orbitals suggested by Kepler's and Newton's planetary theory to discrete locations without undermining the overall gravitational theory even so much as a little bit. One can even use the mass gravitational relationship by saying that the discrete orbits will be modified slightly by mass gravitational effects, thus, the orbitals will not follow a precise quantum because of the difference in materials and density.
TABLE OF CONTENTS