Agreed, it should be Y dot on the right hand side of Eq. (12), this is just a typo. The solution of the initial value problem could possibly lead to an understanding with ECE2 relativity of any experimentally observed precession. The fact that forward and retrograde precessions come out of the same lagrangian means that any type of precession can be described. EGR can only describe forward precessions, so this is another clear advantage of ECE2 over EGR.

To: EMyrone@aol.com

Sent: 13/05/2017 20:21:53 GMT Daylight Time

Subj: Re: 377(7): Interpretation of the Precession Formulae of ECE2 Relativity

I agree with the conclusion of this note. I will still have to go through the other notes. in eq.(12) seems to be a typo but eq.(13) is correct.

I solved the initial value equations (30,31) for a given configuration. kappa_X and kappa_Y seem to determine the position of the ellipse against the cartesian axes. In “normal position” we have x(0) = periastron, y(0)=0. There has to be

x dot (0) = 0

and

x dot dot(0) = 0.

Then kappa_X diverges because the kappa’s have such a point for x=0 and y=0. Probably we can say that the kappa’s diverge at the extremal points of the ellipse.

Horst

Am 13.05.2017 um 14:34 schrieb EMyrone:

This note shows that the two precession methods of previous notes for UFT377 can be the same if and only if the elliptical orbit is Newtonian (static ellipse, zero precession). The forward and retrograde precessions can be the same if and only if they are both identically zero. Otherwise the two methods give fundamentally different precessions, a very remarkable result, because they are based on the same ECE2 covariant lagrangian. The ECE2 spin connections are given by the numerical solution of the relevant simultaneous differential equations and so are determined completely by the precessions. These are forward precessions in the solar system for example, but may be retrograde percession in the S2 star. A method is suggested of adjusting the spin conenction to give the initial conditions needed for the solution of the differential equations. The idea is to devise a method in which adjustment of the spin connections gives the observed precession in any planar orbit.

377(7).pdf

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