This looks like a very interesting plan. It would confirm your numerical results indicating that special relativity gives precession of a planar orbit, a very important finding in astronomy and cosmology. I plan one more Note 328(5) then will write up UFT328.

To: EMyrone@aol.com
Sent: 27/09/2015 21:27:26 GMT Daylight Time
Subj: Re: 328(4): More Accurate Theory of Orbital Precession in Special Relativity

Planned evaluations.

Am 26.09.2015 um 14:48 schrieb EMyrone:

This note defines the precessing orbit as Eq. (15), so the ratio p / L can be calculated using Eqs. (15) and (17). This ratio can be compared with p / L from the lagrangian of special relativity Eq. (18) with gravitational potential (19), and can be compared with p / L from other theories, for example the x theory or the general precessing orbit (22). Finally, using the orbit (26), with x = gamma, the orbit (9) of special relativity can be deduced. So special relativity can be thought of as x theory with x = gamma, the Lorentz factor. This gives the precession (34), and delta theta can be calculated to be Eq. (44). At the perihelion Eq. (45) applies. In the next note 328(5) the ratio p / L will be calculated analytically by approximating the relativistic lagrangian theory, which leads to the relativistic Leibnitz equation of orbits and the definition of the relativistic angular momentum as a constant of motion. Knowing p / L analytically gives d theta / dr and the true orbit of specail relativity. The ratio p / L was computed by a scatter plot method by co author Horst Eckardt in UFT324 and UFT325.

paper328-3.pdf

Agreed with the first point. Eq. (10) is a rough approximation of the type that Dirac used. I think that Dirac got away with it because the results appeared to fit the experimental data. Working out p / L will be very interesting.

To: EMyrone@aol.com
Sent: 27/09/2015 21:23:02 GMT Daylight Time
Subj: Re: 328(4): More Accurate Theory of Orbital Precession in Special Relativity

PS: the RHS of (8) can be written with t or with tau, only the orbits r(theta) are different. I am not sure if (10) is a good approximation. This would mean that anyhow the change in angular momentum is smaller than in orbit.
I will work out the ratio p/L of eq.(17) Tomorrow and compare with the numerical Lagrange resutls. We will see how this fits.

Horst

Am 26.09.2015 um 14:48 schrieb EMyrone:

This note defines the precessing orbit as Eq. (15), so the ratio p / L can be calculated using Eqs. (15) and (17). This ratio can be compared with p / L from the lagrangian of special relativity Eq. (18) with gravitational potential (19), and can be compared with p / L from other theories, for example the x theory or the general precessing orbit (22). Finally, using the orbit (26), with x = gamma, the orbit (9) of special relativity can be deduced. So special relativity can be thought of as x theory with x = gamma, the Lorentz factor. This gives the precession (34), and delta theta can be calculated to be Eq. (44). At the perihelion Eq. (45) applies. In the next note 328(5) the ratio p / L will be calculated analytically by approximating the relativistic lagrangian theory, which leads to the relativistic Leibnitz equation of orbits and the definition of the relativistic angular momentum as a constant of motion. Knowing p / L analytically gives d theta / dr and the true orbit of specail relativity. The ratio p / L was computed by a scatter plot method by co author Horst Eckardt in UFT324 and UFT325.

Thanks again.

1) Can you run this through the computer? If the rightmost term does not contain r, the dimensionality is wrong, because eps r / alpha is dimensionless.
2) Agreed.
3) Agreed.

To: EMyrone@aol.com
Sent: 27/09/2015 20:49:28 GMT Daylight Time
Subj: Re: 328(4): More Accurate Theory of Orbital Precession in Special Relativity

In eq.(15) the right-most squared term should not contain “r”.
in (29) sin theta should be repaced by sin (gamma theta).
In (39) the second row has probably to have 1+epsilon in the denominator, not 1+alpha.

Horst

Am 26.09.2015 um 14:48 schrieb EMyrone:

This note defines the precessing orbit as Eq. (15), so the ratio p / L can be calculated using Eqs. (15) and (17). This ratio can be compared with p / L from the lagrangian of special relativity Eq. (18) with gravitational potential (19), and can be compared with p / L from other theories, for example the x theory or the general precessing orbit (22). Finally, using the orbit (26), with x = gamma, the orbit (9) of special relativity can be deduced. So special relativity can be thought of as x theory with x = gamma, the Lorentz factor. This gives the precession (34), and delta theta can be calculated to be Eq. (44). At the perihelion Eq. (45) applies. In the next note 328(5) the ratio p / L will be calculated analytically by approximating the relativistic lagrangian theory, which leads to the relativistic Leibnitz equation of orbits and the definition of the relativistic angular momentum as a constant of motion. Knowing p / L analytically gives d theta / dr and the true orbit of specail relativity. The ratio p / L was computed by a scatter plot method by co author Horst Eckardt in UFT324 and UFT325.

Many thanks. I think we can define either:

delta theta = (x – 1) theta
or
– delta theta = (1 – x) theta

with
x > or = 1

These definitions give clockwise or anticlockwise precessions.

To: EMyrone@aol.com
Sent: 27/09/2015 15:12:35 GMT Daylight Time
Subj: Re: 328(4): More Accurate Theory of Orbital Precession in Special Relativity

setting x=gamma gives the wrong direction of precession, x must be less than unity. We falsely assumed x>1 in the early papers of x theory.
Horst

Am 26.09.2015 um 14:48 schrieb EMyrone:

This note defines the precessing orbit as Eq. (15), so the ratio p / L can be calculated using Eqs. (15) and (17). This ratio can be compared with p / L from the lagrangian of special relativity Eq. (18) with gravitational potential (19), and can be compared with p / L from other theories, for example the x theory or the general precessing orbit (22). Finally, using the orbit (26), with x = gamma, the orbit (9) of special relativity can be deduced. So special relativity can be thought of as x theory with x = gamma, the Lorentz factor. This gives the precession (34), and delta theta can be calculated to be Eq. (44). At the perihelion Eq. (45) applies. In the next note 328(5) the ratio p / L will be calculated analytically by approximating the relativistic lagrangian theory, which leads to the relativistic Leibnitz equation of orbits and the definition of the relativistic angular momentum as a constant of motion. Knowing p / L analytically gives d theta / dr and the true orbit of specail relativity. The ratio p / L was computed by a scatter plot method by co author Horst Eckardt in UFT324 and UFT325.

Thanks again!

There were 2077 hits or files downloaded from 344 distinct visits or reading sessions, main spiders baidu, google, MSN and yahoo. F3(Sp) 753, Collected ECE2 papers 673, Evans / Morris papers 520, Collected Scientometrics 504, Autobiography volumes one and two 345, Barddoniaeth / Collected Poetry 321, Proofs that no torsion means no gravitation 210, Eckardt / Lindstrom papes 200, Principles of ECE Theory 181, Engineering Model 161, UFT88 115, Evans Equations 107 (numerous Spanish), UFT311 75, UFT321 75, CEFE 74, UFT313 45, UFT314 37, UFT315 43, UFT316 45, UFT317 49, UFT318 53, UFT319 59, UFT320 42, UFT322 53, UFT323 41, UFT324 67, UFT325 68, UFT326 61, UFT327 10, Llais 39 to date in September 2015. Delectable Benevolent site extensive. Intense interest all sectors, updated usage file attached for September 2015

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Many thanks, this is an important presentation of energy from spacetime to the Royal Society of Chemistry Meeting in Tsukuba University on 15 – 16 October. UFT311 by Kurt Arenhold and Horst Eckardt is very well studied already and gives full details of the Osamu Ide circuit and its precise description with ECE theory. Would it be possible for Osamu Ide to mention UFT311 at the RSC meeting? Any AIAS Fellow who can attend this meeting is encouraged to do so. I was successfully nominated by both the Royal Society and Royal Society of Chemistry for my Civil List Pension, so these scientific societies are perfectly receptive to important new developments, both experimental and theoretical. UFT321 by Horst Eckardt and Douglas Lindstrom is a development of circuit theory for energy from spacetime, and is also well studied (scientometrics). Douglas Lindstrom’s lecture opening the 2015 Idaho new energy conference is on the blog of www.aias.us. He described ECE theory applied to energy from spacetime and LENR. It is clear that these advances are mainstream physics, worthy of government and corporate funding. ECE is the new school of thought in physics.

Dear Dr. Evans,

I am also going to present at RSC Meeting of Tsukuba University in October 15~16, below.

http://www.rsc.org/events/detail/19042/mana-rsc-symposium-materials-for-energy-generation-and-storage

It is so convenient to attend that it is in Japan.

I shall have a poster presentation including self-exciting experiment.

Regards,

Osamu

There were 2329 files downloaded or hits from 349 reading sessions or distinct visits, main spiders from baidu, google, MSN and yahoo. F3(Sp) 742, Collected ECE2 papers 673, Evans / Morris papers 500 (est), Collected Scientometrics 491, Barddoniaeth / Collected Poetry 342, Autobiography Volumes One and Two 335, Proofs that no torsion means no gravitation 198, Eckardt / Lindstrom papers 195, Principles of ECE 177, Engineering Model 160, UFT88 111, Evans Equations 101 (numerous Spanish), CEFE 74, UFT321 74, UFT311 74, UFT313 55, UFT314 37, UFT315 39, UFT317 47, UFT318 52, UFT319 59, UFT320 42, UFT322 53, UFT323 41, UFT324 67, UFT325 66, UFT326 61, UFT327 9, Llais 37 to date in September 2015. Pontifical Bolivariana University Colombia UFT165(Sp); Boise State University UFT80; State University of New York Geneseo UFT25; Iowa State University general; Inerco Corporation Spain Essay 37, engineering model, F11(Sp), general; United States National Institute of Standards and Technology UFT214; Physics Ioannina University Greece 2D paper; Bashtel region Scientometrics; School of Informatics University of Edinburgh UFT147, UFT147(Sp), UFT148, UFT148(Sp); University of Portsmouth Third definitive proof with notes that no torsion means no gravitation. Intense interest all sectors, updated usage file attached for September 2015.

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This note defines the precessing orbit as Eq. (15), so the ratio p / L can be calculated using Eqs. (15) and (17). This ratio can be compared with p / L from the lagrangian of special relativity Eq. (18) with gravitational potential (19), and can be compared with p / L from other theories, for example the x theory or the general precessing orbit (22). Finally, using the orbit (26), with x = gamma, the orbit (9) of special relativity can be deduced. So special relativity can be thought of as x theory with x = gamma, the Lorentz factor. This gives the precession (34), and delta theta can be calculated to be Eq. (44). At the perihelion Eq. (45) applies. In the next note 328(5) the ratio p / L will be calculated analytically by approximating the relativistic lagrangian theory, which leads to the relativistic Leibnitz equation of orbits and the definition of the relativistic angular momentum as a constant of motion. Knowing p / L analytically gives d theta / dr and the true orbit of specail relativity. The ratio p / L was computed by a scatter plot method by co author Horst Eckardt in UFT324 and UFT325.

a328thpapernotes4.pdf

There were 2415 files downloaded or hits from 380 reading sessions or distinct visits. Main spiders baidu, google, MSN and yahoo. F3(Sp) 727, Collected ECE2 papers 619, Evans / Morris papers 480 (est), Collected Scientometrics 461, Autobiography Volumes One and Two 326, Barddoniaeth / Collected Poetry 305, Proofs that no torsion means no gravitation 189, Eckardt / Lindstrom papers 187, Principles of ECE Theory 172, Engineering Model 154, UFT88 105, Evans Equations 100 (numerous Spanish), UFT321 74, UFT311 71, CEFE 71, UFT313 43, UFT314 35, UFT315 37, UFT316 44, UFT317 45, UFT318 48, UFT319 57, UFT320 41, UFT322 42, UFT323 40, UFT324 55, UFT325 64, UFT326 61, UFT327 7, Llais 36 to date in September 2015. Columbia University UFT82; Lousiana State University UFT117; Texas A and M University AIAS Fellows; University of Minnesota Twin Cities UFT123; Faculty of Agriculture, Forestry and Natural Environment Aristotle University of Thessaloniki Greece general; Technical University Delft UFT166(Sp). Intense interest all sectors, updated usage file attached for September 2015.

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