The second line was whited out, so was not used. It is possible in Eq. (32) to use

partial X double dot / partial X = (partial X double dot / partial t) (partial t / partial X double dot)

and similarly for Y. That introduces a time dependence. The solutions of Eqs. (30) and (31) must also obey Eq. (32). To obtain the simplistic approach is another very good result.

To: EMyrone@aol.com

Sent: 23/04/2017 12:36:43 GMT Daylight Time

Subj: Re: 376(1): General Theory of Orbital Precession in Fluid Gravitation

I cannot read the second line of eq. (12), there is a manuscript problem.

Eqs.(30-31) are self-contained (2 eqs. for 2 variables), one cannot add a third equation to these. However one can solve the space dependence of (32), obtaining two space fields X dotdot (X,Y) and Y dotdot (X,Y). If these are inserted into (30,31), we get two algebraic equations for X and Y but no time dependence. Perhaps one has to go back to the field equations directly.

Horst

PS: my simplistic approach of my last email seems to come out when setting R_X = -X, R_Y = -Y.

Am 23.04.2017 um 12:48 schrieb EMyrone:

This note introduces the richly structured field equations of ECE2. In general, precession is governed by simultaneous solution of Eqs. (18), (19), (21), (22) and (29) to give the orbit. In the limit defined by Eqs. (33) and (34), simultaneous solution of Eqs. (30), (31) and (33) may be enough to give precession by adjusting the parameters a sub X and a sub Y, defined by Eqs. (27) and (28) in terms of Cartesian components of the tetrad and spin connection vectors. These are of course missing from special relativity (flat Minkowski spacetime with no curvature or torsion) and its Newtonian limit, but exist in ECE2 relativity (spacetime with finite curvature and torsion). In my opinion the discovery of retrograde precession in S2 is very important because it signals the end of EGR. Leading astronomers dealing with S2 have abandoned EGR (see paper posted on this blog from the Bogoliubov laboratory and co workers). This type of general ECE2 theory can be applied to any problem considered by Einstein. This task has been has been initiatyed in UFT313 to UFT375 to date. The computer may be able to solve all four field equations (8) to (11) simultaneously for gravitation and also electrodynamics, using Cartesian coordinates, or any coordinates.

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