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.

This looks like a very good approach. I will study Section 3.

To: EMyrone@aol.com
Sent: 23/04/2017 12:01:09 GMT Daylight Time
Subj: Re: Plans for UFT376

Concerning fluid dynamics models, my simple approach for the orbital velocity was

r dot –> r dot – v_f bold.

In preceding papers I had used v bold with a plus sign, but then we have the strange situation that retrograde precession goes into direction of negative v_f. With the above change it becomes clear that v_f impacts the precession in direction of v_f. In particular, if the body is at rest in the surrounding medium:

r dot – v_f bold = 0,

we have the usual Newtonian case of a body at rest. Therefore the above approach seems to be the right one.
My use of a rotating vector field v_f is a model for a rotating rigid “spacetime disk” around the central mass. This is a non-relativistic approach, but I checked the disk tangential velocity at the apastron of the S2 star, it is some thousands of kilometers/s, far below light velocity. A correct description would require something like the Lense-Thirring effect, perhaps worth a thought in later papers. I will describe now the detailed numbers in section 3 of UFT 375.

Horst

Am 22.04.2017 um 14:30 schrieb EMyrone:

In UFT375, Horst has already succeeded in describing retrograde precession using ECE2 fluid gravitation, which refutes EGR. I think that UFT376 should build on this breakthrough by introducing the field equations and spin connection. I should also continue with a literature search to see if I can find some more retrograde precessions. There is also a need to investigate exactly what is meant by strong field and weak file gravitation. However for S2 like stars, weak gravitation is perfectly adequate.

The equivalent of 56,038 printed pages was downloaded (204.313 megabytes) from 1,990 memory files downloaded and 509 distinct visits each averaging 2.8 memory pages and 5 minutes, printed pages to hits ratio of 28.16, top referrals total 2,228,868, main spiders Google, MSN and Yahoo. Collected ECE2 1515, Top ten 852, Collected Evans / Morris 726(est), Collected scientometrics 435, F3(Sp) 181, Barddoniaeth 132, Principles of ECE 126, UFT88 115, Collected Eckardt / Lindstrom 114, Autobiography volumes one and two 105, Evans Equations 83, UFT311 62, CV 59, PECE 38, ECE2 36, Self charging inverter 28, Llais 25, CEFE 24, UFT321 20, MJE 19, Idaho 7, UFT313 18, UFT314 31, UFT315 24, UFT316 11, UFT317 16, UFT318 10, UFT319 36, UFT320 16, UFT322 32, UFT323 18, UFT324 23, UFT325 39, UFT326 17, UFT327 22, UFT328 21, UFT329 20, UFT330 15, UFT331 21, UFT332 18, UFT333 13, UFT334 26, UFT335 32, UFT336, 14, UFT337 14, UFT338 14, UFT339 17, UFT340 13, UFT341 25, UFT342 19, UFT343 24, UFT344 32, UFT345 19, UFT346 21, UFT347 51, UFT348 28, UFT349 29, UFT351 40, UFT352 35, UFT353 30, UFT354 41, UFT355 33, UFT356 33, UFT357 30, UFT358 27, UFT359 29, UFT360 15, UFT361 11, UFT362 42, UFT363 28, UFT364 33, UFT365 19, UFT366 36, UFT367 32, UFT368 35, UFT369 34, UFT370 34, UFT371 23, UFT372 23, UFT374 26, UFT375 2 to date in April 2017. Deusu search engine poetry; Studentergarden College Denmark general, Massachusetts Institute of Technology (MIT) UFT88; Pakistan Education and Research Network general; edu Pakistan general. Intense interest all sectors, updated usage file attached for April 2017.

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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.

a376thpapernotes1.pdf

UCC in the Republic of Ireland is ranked 283 in the world by QS, 344 by webometrics and 351 – 400 by Times. It was founded in 1845 on a site of Finbarr (Fionnbharra, fair headed) 550 – 623 A. D., born Lochan Mac Amergin, Bishop of Cork. It now has 18,000 students and Alumni include Jack Lynch, sometime Taoiseach. UFT88 was written by Horst Eckardt and myself in 2007 and since then, and is known to have been consulted on www.aias.us tens of thousands of times at several hundred of the world’s best universities. It has probably been read many thousands of times by staff and students worldwide from private computers, and also from www.upitec.org. It refutes the geometrical basis of EGR (Einsteinian general relativity), the second Bianchi identity of 1902. As we have just seen in notes and discussion for UFT375, EGR has been refuted expreimentally by retrograde precession in S2. Co author Horst Eckardt has succeeded in producing retrograde precession with ECE2 fluid gravitation. UFT88 should be read with UFT99 and its definitive proofs, UFT109, UFT255, UFT313, UFT354 and many other papers which refute EGR in many definitive ways. ER has been quietly abandoned by astronomers. Dogmatic claims that EGR is always right are myths.

The equivalent of 89,978 printed pages was downloaded (328.026 megabytes) from 2,463 memory files downloaded (hits) and 445 distinct visits each averaging 3.4 memory pages and 6 minutes, printed pages to hits ratio of 36.53, top referrals total 2,228,660, main spiders Google, MSN and Yahoo. Collected ECE2 1463, Top ten 805, Collected Evans / Morris 693(est), Collected scientometrics 417, F3(Sp) 163, Principles of ECE 133, Barddoniaeth 129, Collected Eckardt / Lindstrom 113, UFT88 112, Autobiography volumes one and two 104, Evans Equations 81, UFT311 62, CV 54, Engineering Model 42, PECE 37, ECE2 37, Self charging inverter 27, Llais 25, CEFE 23, PLENR 22, UFT321 20, MJE 18, Idaho 7, UFT313 18, UFT314 30, UFT315 24, UFT316 11, UFT317 16, UFT318 9, UFT319 34, UFT320 16, UFT322 32, UFT323 18, UFT324 23, UFT325 37, UFT326 17, UFT327 22, UFT328 20, UFT329 20, UFT330 15, UFT331 20, UFT332 16, UFT333 13, UFT334 25, UFT335 33, UFT336 13, UFT337 14, UFT338 14, UFT339 16, UFT340 13, UFT341 24, UFT342 17, UFT343 23, UFT344 31, UFT345 18, UFT346 20, UFT347 48, UFT348 28, UFT349 26, UFT351 40, UFT352 33, UFT353 26, UFT354 38, UFT355 31, UFT356 30, UFT357 30, UFT358 26, UFT359 28, UFT360 14, UFT361 11, UFT362 41, UFT363 25, UFT364 32, UFT365 19, UFT366 37, UFT367 32, UFT368 34, UFT369 34, UFT370 34, UFT371 23, UFT372 22, UFT373 25, UFT374 25 to date in April 2017. Library of Congress of Argentina F3(Sp); University of Queensland general; Steinbuch Computer Centre Karlsruhe Institute of Technology (and on edu) UFT374, overview and experimental advantages. University College Cork Ireland UFT88; Town of Istra, Russian Federation experimental advantages of ECE. Intense interest all sectors, updated usage file attached for April 2017.

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Thanks again!

In UFT375, Horst has already succeeded in describing retrograde precession using ECE2 fluid gravitation, which refutes EGR. I think that UFT376 should build on this breakthrough by introducing the field equations and spin connection. I should also continue with a literature search to see if I can find some more retrograde precessions. There is also a need to investigate exactly what is meant by strong field and weak file gravitation. However for S2 like stars, weak gravitation is perfectly adequate.

This is rapid and definitive progress, and congratulations! It means the end of the Einstein theory because it cannot produce the astronomically observed retrograde precession in the Source Two (S2) star, which orbits a very massive object near Saggitarius B. The rotational velocity field describes the effect of aether or spacetime on the lagrangian method, which is the simplest approach. Einsteinian general relativity (EGR) fails completely in S2 and also in whirlpool galaxies, and ECE2 takes over as the leading theory of gravitational physics. Albert Einstein would have accepted this as significant progress in natural philosophy (physics). He was not a dogmatist, he kept changing his ideas as is well known to scholars. I have known two or three people who worked with Einstein himself: Vigier, Wheeler and Sternglass. Leading astronomers have quietly abandoned EGR and “dark matter”. The huge worldwide following of ECE2 rejected these ideas over a decade ago.

To: EMyrone@aol.com
Sent: 21/04/2017 21:15:13 GMT Daylight Time
Subj: Re: Summary for S2

I worked out the dependence of several parameters on the initial velocity. the apastron radius is very sensitive but the precession angle per period is not.
Additionally I did a relativistic calculation with a fluid dynamics velocity, a rotational velocity field around the central mass. In this way it is possible to obtain retrograde precession. In the attached example it is -0.25 degrees per period. The section of the paper will contain a lot of detailed information.

Horst

Am 21.04.2017 um 14:18 schrieb EMyrone:

ECE2 gives 0.034 degrees per orbit, EGR gives 0.203 degrees per orbit. The experimental data range from -1 to 2 degrees per orbit, but at this stage in research are vague experimental claims. I can see from the latest papers on S2 that the Einstein theory has been abandoned in some of the best laboratories in the world in favour of a Newtonian approach with a modified potential as in UFT105. This is what I call real progress because EGR is completely riddled with errors, and the data are not in fact all that precise. We make no claims for ECE2 other than the fact that it is a reasonably good description. We don’t make dogmatic claims of ultra precision. The same type of thing happened in UFT85, when the claims of QED evaporated.

The equivalent of 89,461 printed pages was downloaded (326.174 megabytes) from 1,968 downloaded memory files and 395 distinct visits each averaging 3.2 memory pages and 6 minutes, printed pages to hits ratio of 45.46, top referrals total of 2,228,425, main spiders Google, MSN and Yahoo. Collected ECE2 1394, Top ten 770, Collected Evans Morris 660, Collected scientometrics 399, F3(Sp) 145, Principles of ECE 131, Barddoniaeth 129, UFT88 107, Collected Eckardt / Lindstrom 106, Autobiography volumes one and two 98, Evans Equations 81, Collected Proofs 66, UFT311 61, Engineering Model 42, PECE 37, ECE2 35, Self charging inverter 26, Llais 23, CEFE 22, UFT321 19, MJE 18, Idaho 7, UFT313 17, UFT314 29, UFT315 23, UFT316 11, UFT317 15, UFT318 9, UFT319 32, UFT320 16, UFT322 28, UFT323 17, UFT324 23, UFT325 34, UFT326 17, UFT327 20, UFT328 20, UFT329 20, UFT330 12, UFT331 18, UFT332 16, UFT333 12, UFT334 24, UFT335 30, UFT336 13, UFT337 14, UFT338 13, UFT339 16, UFT340 12, UFT341 22, UFT342 17, UFT343 20, UFT344 29, UFT345 18, UFT346 20, UFT347 45, UFT348 25, UFT349 24, UFT351 39, UFT352 33, UFT353 26, UFT354 37, UFT355 30, UFT356 28, UFT357 28, UFT358 25, UFT359 26, UFT360 14, UFT361 11, UFT362 40, UFT363 24, UFT364 30, UFT365 17, UFT366 35, UFT367 30, UFT368 32, UFT369 33, UFT370 33, UFT371 23, UFT372 21, UFT373 24, UFT374 24 to date in April 2017. University of Quebec Trois Rivieres UFT366 – UFT374; Wayback Machine spidering (www.rchive.org). Edu system Pakistan general.

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