Many thanks as ever for checking this note. These spin connections, Eqs. (13) to (16), are maps of the aether for a precessing planar orbit and it would be very interesting to graph the scalar and vector parts of the spin connection four vector for forward and retrograde precession. Then Q can be found and graphed from Eqs. (3) to (5), and omega sub 0 from the Lindstrom constraint (6), using the Newtonian gravitational scalar potential phi cap. Finally we use Eqs. (7) and (8). A lot of very interesting results will emerge.
To: EMyrone@aol.com
Sent: 25/09/2017 17:18:27 GMT Daylight Time
Subj: Re: 389(4) Spin Connections for Precessing Planar OrbitsThere is a factor missing in the denominators of eqs.(13,14). The right solution (13) is:
And correspondingly for (14).
Horst
Am 22.09.2017 um 13:19 schrieb EMyrone:
This not gives the spin connections for a forward and retrograde precession using the gravitational potential (3). The results are equations (13) to (16) and can be graphed. They are maps of spacetime, the vacuum or gravitational aether. In order to compute the vector potential Q it is necessary to compute Eqs. (17) to 919), the antisymmetry equations. Having found the vector potential, the scalar spin connection is found from the Lindstrom constraint,and finally the total vector potential found as in the previous note. If it is assumed that the spin connection is two dimensional for a planar orbit, the omega sub Z = 0. Computer algebra can be used to solve Eqs. (17) to (19), which are three simultaneous differential equations. I will look for a simple solution by hand. The differential equations are of the type dy / dx = f(x, y)y and so on. I am sure that there are code packages that can integrate such equations (e.g. Maxima, Mathematical,Maple, NAG, IBM ESSL, and so on) . A great deal of new information about precessing planar orbits will emerge from this complete theory, which in general is a new type of cosmology.
