Many thanks, a very useful check by computer. .
To: EMyrone@aol.com
Sent: 28/09/2015 15:40:13 GMT Daylight Time
Subj: Re: Discussion of Note 328(4)you are right, the term is correct. The computer gives a simplified expression without double fractions, see last two formulas.
Horst
Am 28.09.2015 um 10:13 schrieb EMyrone:
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
Sent: 27/09/2015 20:49:28 GMT Daylight Time
Subj: Re: 328(4): More Accurate Theory of Orbital Precession in Special RelativityIn 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.