## Plots of Spin Connections and Curl Equation

Agreed with this, the major discovery is that the relativistic Lagrangian gives both forward and retrograde precession, an amazing result. I will proceed to write up Sections 1 and 2 of UFT377 summarizing the main discoveries as usual. The theoretical value is already in good agreement with the experimental value for S2. There is another field equation which has not been used yet:

curl g = kappa x g = 0

showing that vector kappa is parallel to vector g. I will now write up the final note for this paper. One solution of the above equation is kappa sub X proportional to g sub X and kappa sub Y proportional to g sub Y. So kappa sub X and kappa sub Y can be found, so the orbit is described completely in terms of spin connection components and the problem is completely solved.

To: EMyrone@aol.com
Sent: 16/05/2017 09:56:26 GMT Daylight Time
Subj: Re: Discussion of Spin Connections for Forward Precession

My tests showed that the spin connections – if one of them is fixed – are parctically identical for both types of precession because the orbits differ only slightly. I will see if we can use the ratio of both spin connections instead but I am not sure if the equations can be transformed to this form.
Using other methods with pre-defined spin connections will give orbits completely different from an ellipse so that this approach is not physical. Of course the initial conditions can be related to the initial spin connection values according to the procedure described above, but changing initial conditions means that the ellipse is shifted and rotated in the XY coordinate system. The orbit simply starts at a different point.
I will send over some graphs tonight.

BTW, I am not in Munich from Friday to Tuesday and will only sporadically have access to the internet.

Horst

Am 16.05.2017 um 09:07 schrieb EMyrone:

Many thanks! This is one method, which shows that the orbit defines the spin connections, there must be a particular relation between the spin connection components for a given orbit. In other words the ratio of spin connection components is given by the orbit, so the ratio of spin connection components is given by a particular value of the forward precession. Therefore the experimentally observed forward precession for a planet such as Mercury will correspond to a given ratio of spin connections. So this ratio should be used as an input parameter in order to give the observed precession. The Newtonian orbit, in which there is no precession, also corresponds to a given ratio of spin connection components.

To: EMyrone
Sent: 15/05/2017 14:13:32 GMT Daylight Time
Subj: Re: Spin Connections for Forward Precession

I am not sure how I could proceed with the spin connections. We have the equation

(*)

where g_x = x dotdot and g_y = y dotdot. Furthermore we have

from
div g = 4 pi G rho_m

where r is sqrt(x^2+y^2). From the orbit calculations, x, y, x_dotdot, y_dotdot are known. We can these solutions insert into (*) . Then we have a relation between kappa_x and kappa_y . We can freely choose one of it and compute the other one as a function of t. We can do this with both solutions for forward and retrograde precession. Is this what you had in mind?

Horst

Am 15.05.2017 um 09:25 schrieb EMyrone:

This is full of interest, major progress is being made in the study of precession. It would be most interesting to compare these spin connections with those for retrograde precession, which cannot be accounted for in Einsteinian general relativity (EGR). Finally, it would be of great interest to use the spin conenction components as input parameters (e.g. kappa sub X = 1, kappa sub Y = 1; and kappa sub X = 1, kappa sub Y = 100 in units of inverse metres). The idea is to try to match the experimental and theoretical precession as precisely as possible. The simultaneous equations available for forward precession are Eqs. (11), (25) and (26) for forward precession, and Eqs. (11), (20) and (21) for retrograde precession. They are equation sets in X, Y, X dot and Y dot for input parameters kappa sub X and kappa sub Y. For retrograde precession Eq. (12) reduces to Eq. (13). For forward precession there will be an equivalent of Eq. (13). The amazing thing is that the well known lagrangian of special relativity produces forward and retrograde precession. The task now is to match the theory to experiment.

To: EMyrone
Sent: 14/05/2017 15:18:18 GMT Daylight Time
Subj: Plot of spin connections

The spin connections have been plotted from the Lagrange solution for t, according to

as derived from eqs.(12,14) of note 377(5). The correspondence to X dot and Y dot can clearly be seen, see both figures.

Horst