## Lagrangian Dynamics with Curvilinear Coordinates: Compound Orbits

This looks very interesting, it is certainly possible to develop orbital theory in any curvilinear coordinates system, including Cartesian. These “compound orbits” are also most interesting. I pencilled in the Moebius type orbit for Section 3 of UFT372. All this is excellent progress.

To: EMyrone@aol.com

Sent: 13/03/2017 09:05:31 GMT Standard Time

Subj: Re: Data for Moebius strip orbitsThere are out videos of motion of the earth around the sun, viewed from an observer fixed in the galaxy. Then the motion of the earth is overlaid to the sun’s motion and the earth moves on a spiral. The same would be valid for the moon with an overlaid smaller spiral with an inclination. Concerning the theoretical description, a spherical coordinate system is not well suited. For example it works with a cartesian coordinate system where the sun is one of the bodies and moves in the gravitational field of other bodies. Perhaps this would be worth a special UFT paper: Lagrangian dynamics in any other type of coordinates, including relativistic effects.

Horst

Am 13.03.2017 um 08:35 schrieb EMyrone:

Many thanks to Norman Page for suggesting this problem, and for sending these data. I would say that they are the result of three dimensional orbit theory. As in UFT371 that theory produces tilted planar orbits. In fact this is observed in the solar system, and in the orbit of the moon about the earth about the sun about the centre of the Milky Way. The orbit of the moon about the centre of the Milky Way is going to be interesting to plot, if it can be worked out fairly simply. It is certainly not a planar orbit.

Sent: 12/03/2017 22:27:48 GMT Standard Time

Subj: Re: Moebius strip in cosmologyHorst /Myron These plots look GREAT – just as I imagined. Here is the original link for other AIAS associates to enjoy. Norman.

On 3/12/2017 1:43 PM, Horst Eckardt wrote:I produced the structure of a Moebius strip by two masses orbiting a common centre in tilted orbits. The two masses are independent, i.e. there is the assumption that the interaction between orbiting masses is small compared to the gravity of the centre. This seems reasonable. The initial condition for phi of the second mass has been shifted slightly so that both orbits have no common points.ï¿½ Fig. 7 shows the orbits, in Fig. 8 the difference vector between both masses has been plotted. This shows the structure of a Moebius strip, if I am right. One can imagine that the there are much more than two masses moving in the 2D space between the two plotted orbits. This is a quite simple and classical explanation of the observed Moubius structure.

Horst

Am 06.03.2017 um 01:10 schrieb Norman Page:

Horst/M Normanyron Somewhat fanciful speculation – maybe the number of masses (electrons ) in each shell equals the number of twists in eachï¿½ Mobius strip?

On 3/4/2017 9:06 AM, Horst Eckardt wrote:This is interesting. The ring structure with modulated height Z while the ring is originally in the XY plane can be modeled by a angular-dependent potential. I will give such an example in section 3 of paper 371. The special curving as a Moebius strip requires modeling motion of more than one mass around the centre which is possible. In the article it is spoken of special light polarization where E and B fields are not perpendicular to each other or direction of propagation. This is possible for longitudinal wave expansion as we have shown in great detail on basis of ECE2 theory. This is obviously ignored by standard physics.

Horst

Am 03.03.2017 um 22:11 schrieb Norman Page:

On 3/3/2017 3:05 PM, Norman Page wrote:This site has an enormous amount of empirical data relative to your recent orbital calculations. Regards Norman Page

http://holographicgalaxy.blogspot.com/2015/02/3d-light-mobius-strip-explains-milky.htmlOn 3/3/2017 6:33 AM, EMyrone wrote:

ï¿½

Many thanks to the Co President on behalf ofï¿½Horst and myself. ï¿½To: EMyrone

Sent: 03/03/2017 10:37:01 GMT Standard Time

Subj: Re: Graphics and Computation of Note 371(4)ï¿½

Fantastic developments again.Sent from my Samsung device

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