412(1): Calculation of the Angular Frequency of Frame Rotation for the Earth

Many thanks for this check, computation and graphics. It would be very interesting to calculate omega sub 1 for the planets, Hulse Taylor binary pulsar, and the S2 star system using the exact solution for omega sub 1 and the linearized solution (22). Data for v sub N, omega, T and r are known from astronomy for every object and I will collect them and tabulate them in the next note. After calculating omega sub 1 the precession due to spacetime torsion can be calculated self consistently from Eq. (2). This is a relativistic result evaluated in the limit of Eq. (2). The similar limit for relativistic kinetic energy is described in Eq. (6). The precession in the classical limit is delta phi = omega sub 1 T. This is the result obtained from de Sitter rotation applied to classical, Newtonian, theory, so classical theory in a rotating frame produces precession, a completely new result. In the next note I will develop the relativistic theory, Eq. (2a), which explains any observable precession in terms of omega sub 1. The only observable precession for the planets is the total precession. We are advancing far beyond the standard model, EGR is no longer used.

Fwd: 412(1): Calculation of the Angular Frequency of Frame Rotation for the Earth

The numerical values are essentially correct. The difference between eqs.(29,30) is even smaller than given, it is in the 4th decimal place, see eq. i18, i21 of the protocol.

When using

v_N = omega*r

which is valid for near-circular orbits, one can plot the functions omega_1(omega) for the exact solution of (3) and the linear solution (12). For parameters chosen all unity (which is quite arbitrary due to relativistic restrictions), one can see in the second plot that both functions start congruently from zero. The exact solution moves into a pole which certainly is outside the validity range of the linearized equation.

Horst

Am 31.07.2018 um 14:07 schrieb Myron Evans:

412(1): Calculation of the Angular Frequency of Frame Rotation for the Earth

412(1).pdf