Interpretation of law of precession?

Interpretation of law of precession

This is the procedure I used, to find omega’ in your notation, omega sub + or omega sub – in the notation of the notes. This might well be different from any omega that is listed by NASA, whose data are sometimes internally inconsistent as shown in this morning’s discussion. The eccentricity of the S2 star system is about 0.88 as used in UFT375. I looked up the eccentricity of the HT binary pulsar, it is 0.6171334 according to wiki, whose data are different from Stanford / NASA as discussed in UFT375. It is simply a matter of using best judgement to make up for the numerous errors of other people and crunching out the equations of the new law of precession using a Maxima program.

Basing on note 410(7), we have the equation (4)

Delta phi = 2 pi/c^2 * v^2 (*)

with

v^2 = vN^2 + 3 * v_theta^2
or
v^2 = vN^2 – v_theta^2.

It is defined

v_theta = omega * r

with an average orbital radius r. So both sides of eq. (*) are defined experimentally. To be consistent, these sides have to be compared and should be equal.
If there are major discrepancies, I recommend to define

v_theta = omega’ * r

where omega’ is an angular velocity of frame rotation which is different from the regular orbital angular velocity. This would describe the true spacetime torsion in a star system.

Horst